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Planned maintenance scheduled April 17/18, 2019 at 00:00UTC (8:00pm US/Eastern)please help me fit my equation into my margins!List of equations, including equation contents and captionPlease how can I write this equation in latex?help in writing equationequation reference too close to equationLaTex error please helpHow continue a equation next lineI need help to write this equationequation custom horizontal alignment & numbering each rowCan anyone please help me to solve this? No equation number is appearing for this code
2
f_2=frac{sqrt{frac{s-4 text{mpsi}^2}{s-4 text{me}^2}} left(16 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^8-64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4
text{mpsi}^2+sright)} cos (theta ) text{mZ}^8+8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^4
cos (theta ) text{mZ}^6-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 cos
(theta ) text{mZ}^6+16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^6-64 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma
^2 cos (theta ) text{mZ}^6-40 text{ca} text{cw} text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^6+160 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^6-16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 cos (theta ) text{mZ}^4+64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^4 cos (theta ) text{mZ}^4+8 text{ca}
text{cw} text{EE}^2 g text{gpsi} s^4 Gamma ^2 cos (theta ) text{mZ}^4-32 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s^3 Gamma ^2 cos (theta ) text{mZ}^4-8 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos
(theta ) text{mZ}^4+32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^4+32 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^4-128 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^4-8 a text{ca} text{cv} g^2
text{gpsi}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+32 a text{ca} text{cv} g^2 text{gpsi}^2
text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+8 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^6 cos (theta ) text{mZ}^2-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2
s^5 cos (theta ) text{mZ}^2-8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^2+32 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^2-8 a text{ca} text{cv} g^2 text{gpsi}^2 s^5 sqrt{text{mZ}^4+left(Gamma ^2-2 sright)
text{mZ}^2+s^2} cos (theta ) text{mZ}^2+32 a text{ca} text{cv} g^2 text{gpsi}^2 text{me}^2 s^4
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2+8 a text{ca}
text{cv} g^2 text{gpsi}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2-32 a text{ca}
text{cv} g^2 text{gpsi}^2 text{me}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2right) theta
left(s-4 text{mpsi}^2right)}{256 text{cw}^2 text{mZ}^4 pi ^2 s^3 left(text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2right)^{3/2}}
equations
edited 2 hours ago
Phelype Oleinik
25.2k54690
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
New contributor
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add a comment |
2
f_2=frac{sqrt{frac{s-4 text{mpsi}^2}{s-4 text{me}^2}} left(16 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^8-64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4
text{mpsi}^2+sright)} cos (theta ) text{mZ}^8+8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^4
cos (theta ) text{mZ}^6-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 cos
(theta ) text{mZ}^6+16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^6-64 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma
^2 cos (theta ) text{mZ}^6-40 text{ca} text{cw} text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^6+160 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^6-16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 cos (theta ) text{mZ}^4+64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^4 cos (theta ) text{mZ}^4+8 text{ca}
text{cw} text{EE}^2 g text{gpsi} s^4 Gamma ^2 cos (theta ) text{mZ}^4-32 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s^3 Gamma ^2 cos (theta ) text{mZ}^4-8 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos
(theta ) text{mZ}^4+32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^4+32 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^4-128 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^4-8 a text{ca} text{cv} g^2
text{gpsi}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+32 a text{ca} text{cv} g^2 text{gpsi}^2
text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+8 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^6 cos (theta ) text{mZ}^2-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2
s^5 cos (theta ) text{mZ}^2-8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^2+32 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^2-8 a text{ca} text{cv} g^2 text{gpsi}^2 s^5 sqrt{text{mZ}^4+left(Gamma ^2-2 sright)
text{mZ}^2+s^2} cos (theta ) text{mZ}^2+32 a text{ca} text{cv} g^2 text{gpsi}^2 text{me}^2 s^4
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2+8 a text{ca}
text{cv} g^2 text{gpsi}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2-32 a text{ca}
text{cv} g^2 text{gpsi}^2 text{me}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2right) theta
left(s-4 text{mpsi}^2right)}{256 text{cw}^2 text{mZ}^4 pi ^2 s^3 left(text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2right)^{3/2}}
equations
edited 2 hours ago
Phelype Oleinik
25.2k54690
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
New contributor
Sahabub Jahedi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
5
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
1 hour ago
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
add a comment |
2
2
2
f_2=frac{sqrt{frac{s-4 text{mpsi}^2}{s-4 text{me}^2}} left(16 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^8-64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4
text{mpsi}^2+sright)} cos (theta ) text{mZ}^8+8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^4
cos (theta ) text{mZ}^6-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 cos
(theta ) text{mZ}^6+16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^6-64 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma
^2 cos (theta ) text{mZ}^6-40 text{ca} text{cw} text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^6+160 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^6-16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 cos (theta ) text{mZ}^4+64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^4 cos (theta ) text{mZ}^4+8 text{ca}
text{cw} text{EE}^2 g text{gpsi} s^4 Gamma ^2 cos (theta ) text{mZ}^4-32 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s^3 Gamma ^2 cos (theta ) text{mZ}^4-8 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos
(theta ) text{mZ}^4+32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^4+32 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^4-128 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^4-8 a text{ca} text{cv} g^2
text{gpsi}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+32 a text{ca} text{cv} g^2 text{gpsi}^2
text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+8 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^6 cos (theta ) text{mZ}^2-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2
s^5 cos (theta ) text{mZ}^2-8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^2+32 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^2-8 a text{ca} text{cv} g^2 text{gpsi}^2 s^5 sqrt{text{mZ}^4+left(Gamma ^2-2 sright)
text{mZ}^2+s^2} cos (theta ) text{mZ}^2+32 a text{ca} text{cv} g^2 text{gpsi}^2 text{me}^2 s^4
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2+8 a text{ca}
text{cv} g^2 text{gpsi}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2-32 a text{ca}
text{cv} g^2 text{gpsi}^2 text{me}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2right) theta
left(s-4 text{mpsi}^2right)}{256 text{cw}^2 text{mZ}^4 pi ^2 s^3 left(text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2right)^{3/2}}
equations
edited 2 hours ago
Phelype Oleinik
25.2k54690
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
New contributor
Sahabub Jahedi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
f_2=frac{sqrt{frac{s-4 text{mpsi}^2}{s-4 text{me}^2}} left(16 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^8-64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4
text{mpsi}^2+sright)} cos (theta ) text{mZ}^8+8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^4
cos (theta ) text{mZ}^6-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 cos
(theta ) text{mZ}^6+16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^6-64 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma
^2 cos (theta ) text{mZ}^6-40 text{ca} text{cw} text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^6+160 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^6-16 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 cos (theta ) text{mZ}^4+64
text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^4 cos (theta ) text{mZ}^4+8 text{ca}
text{cw} text{EE}^2 g text{gpsi} s^4 Gamma ^2 cos (theta ) text{mZ}^4-32 text{ca} text{cw}
text{EE}^2 g text{gpsi} text{me}^2 s^3 Gamma ^2 cos (theta ) text{mZ}^4-8 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos
(theta ) text{mZ}^4+32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^2 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} Gamma ^2 cos (theta ) text{mZ}^4+32 text{ca} text{cw}
text{EE}^2 g text{gpsi} s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^4-128 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2 s^3 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^4-8 a text{ca} text{cv} g^2
text{gpsi}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+32 a text{ca} text{cv} g^2 text{gpsi}^2
text{me}^2 s^2 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} sqrt{text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^4+8 text{ca} text{cw} text{EE}^2 g
text{gpsi} s^6 cos (theta ) text{mZ}^2-32 text{ca} text{cw} text{EE}^2 g text{gpsi} text{me}^2
s^5 cos (theta ) text{mZ}^2-8 text{ca} text{cw} text{EE}^2 g text{gpsi} s^5 sqrt{s left(-4
text{me}^2+4 text{mpsi}^2+sright)} cos (theta ) text{mZ}^2+32 text{ca} text{cw} text{EE}^2 g
text{gpsi} text{me}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)} cos (theta )
text{mZ}^2-8 a text{ca} text{cv} g^2 text{gpsi}^2 s^5 sqrt{text{mZ}^4+left(Gamma ^2-2 sright)
text{mZ}^2+s^2} cos (theta ) text{mZ}^2+32 a text{ca} text{cv} g^2 text{gpsi}^2 text{me}^2 s^4
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2+8 a text{ca}
text{cv} g^2 text{gpsi}^2 s^4 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2-32 a text{ca}
text{cv} g^2 text{gpsi}^2 text{me}^2 s^3 sqrt{s left(-4 text{me}^2+4 text{mpsi}^2+sright)}
sqrt{text{mZ}^4+left(Gamma ^2-2 sright) text{mZ}^2+s^2} cos (theta ) text{mZ}^2right) theta
left(s-4 text{mpsi}^2right)}{256 text{cw}^2 text{mZ}^4 pi ^2 s^3 left(text{mZ}^4+left(Gamma
^2-2 sright) text{mZ}^2+s^2right)^{3/2}}
equations
equations
edited 2 hours ago
Phelype Oleinik
25.2k54690
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
New contributor
Sahabub Jahedi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 hours ago
Phelype Oleinik
25.2k54690
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
New contributor
Sahabub Jahedi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited 2 hours ago
Phelype Oleinik
25.2k54690
edited 2 hours ago
Phelype Oleinik
25.2k54690
edited 2 hours ago
Phelype Oleinik
25.2k54690
25.2k54690
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
New contributor
Sahabub Jahedi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
asked 2 hours ago
Sahabub JahediSahabub Jahedi
111
111
New contributor
Sahabub Jahedi is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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5
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
1 hour ago
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
add a comment |
5
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
1 hour ago
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
5
5
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
1 hour ago
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
1 hour ago
2
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago
add a comment |
2 Answers
2
active
oldest
votes
3
First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left … right pairs. I deleted those. Further, I replaced text by the more appropriate mathrm. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use , for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
add a comment |
2
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left and right sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
answered 35 mins ago
MicoMico
286k32391779
add a comment |
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2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
3
First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left … right pairs. I deleted those. Further, I replaced text by the more appropriate mathrm. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use , for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
add a comment |
3
First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left … right pairs. I deleted those. Further, I replaced text by the more appropriate mathrm. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use , for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
add a comment |
3
3
3
First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left … right pairs. I deleted those. Further, I replaced text by the more appropriate mathrm. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use , for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
First, the source needs to be broken up inserting line breaks at suitable places so you can get some idea of the total structure of the formula. An editor that will show you matching parentheses and highlight text according to chosen patterns is a great help here.
It turns out that the formula is a fraction in which most of the text is a parenthesised expression in the denumerator. That needs to be taken out, named, and typeset explicitly. I chose to call this expression Ξ.
Also, there are lots of unnecessary left … right pairs. I deleted those. Further, I replaced text by the more appropriate mathrm. I ended up with the following code. It's a complete, compilable latex document. It still has multiple issues that need to be dealt with before you have a readable output. Most importantly, all the multicharacter variable names need some spacing around them. Use , for that.
documentclass{article}
usepackage{mathtools,amsfonts}
allowdisplaybreaks[1]
begin{document}
begin{equation}
f_2=frac{
sqrt{frac{s-4 mathrm{mpsi}^2}{s-4 mathrm{me}^2}}
Xi theta (s-4 mathrm{mpsi}^2)}
{256 mathrm{cw}^2 mathrm{mZ}^4 pi ^2 s^3
(mathrm{mZ}^4
+(Gamma ^2-2 s) mathrm{mZ}^2+s^2)^{3/2}}
end{equation}
where
begin{align*}
Xi&=16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^8
\&
-64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2 +4 mathrm{mpsi}^2+s)} cos (theta ) mathrm{mZ}^8
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
cos (theta ) mathrm{mZ}^6
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^3 cos
(theta ) mathrm{mZ}^6
\&
+16 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-64 mathrm{ca} mathrm{cw}
mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^6
\&
-40 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^6
\&
+160 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^6
\&
-16 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} s^5 cos (theta ) mathrm{mZ}^4
\&
+64 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2 s^4
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca}
mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^3 Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
Gamma ^2 cos (theta ) mathrm{mZ}^4
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-128 mathrm{ca} mathrm{cw} mathrm{EE}^2
g mathrm{gpsi} mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^4
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2
mathrm{me}^2 s^2
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^4
\&
+8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} s^6 cos (theta ) mathrm{mZ}^2
-32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} mathrm{me}^2
s^5 cos (theta ) mathrm{mZ}^2
\&
-8 mathrm{ca} mathrm{cw} mathrm{EE}^2 g mathrm{gpsi} s^5
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
cos (theta ) mathrm{mZ}^2
\&
+32 mathrm{ca} mathrm{cw} mathrm{EE}^2 g
mathrm{gpsi} mathrm{me}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)} cos (theta )
mathrm{mZ}^2
\&
-8 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 s^5
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s)
mathrm{mZ}^2+s^2} cos (theta ) mathrm{mZ}^2
\&
+32 a mathrm{ca} mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^4
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
+8 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 s^4
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
\&
-32 a mathrm{ca}
mathrm{cv} g^2 mathrm{gpsi}^2 mathrm{me}^2 s^3
sqrt{s (-4 mathrm{me}^2+4 mathrm{mpsi}^2+s)}
sqrt{mathrm{mZ}^4+(Gamma ^2-2 s) mathrm{mZ}^2+s^2}
cos (theta ) mathrm{mZ}^2
end{align*}
end{document}
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
answered 1 hour ago
Harald Hanche-OlsenHarald Hanche-Olsen
13.2k24762
13.2k24762
add a comment |
add a comment |
2
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left and right sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
answered 35 mins ago
MicoMico
286k32391779
add a comment |
2
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left and right sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
answered 35 mins ago
MicoMico
286k32391779
add a comment |
2
2
2
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left and right sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
answered 35 mins ago
MicoMico
286k32391779
There are a lot of repeated items in your equation. I suggest you do something like this, which eliminates all left and right sizing directives.
documentclass{article}
usepackage{mathtools}
newcommandvn[1]{mathrm{,#1}}
allowdisplaybreaks
begin{document}
noindent
Put
$psi=sqrt{smash[b]{s (-4 vn{me}^2+4 vn{mpsi}^2+s)}}$,
$phi=sqrt{smash[b]{vn{mZ}^4 +(Gamma^2-2 s) vn{mZ}^2+s^2}}$,
$kappa= vn{ca} vn{cw} vn{EE}^2, g vn{gpsi}$, and
$lambda=vn{ca} vn{cv}, g^2 vn{gpsi}^2$.
Then
begin{align*}
f_2 &=ucdot v/w, \
shortintertext{where}
u &= sqrt{frac{s-4 vn{mpsi}^2}{s-4 vn{me}^2}},,\
v &=begin{aligned}[t]bigl[
&16 kappa s^2 psi costheta vn{mZ}^8
\&-64 kappa vn{me}^2 s psi costheta vn{mZ}^8
\&+8 kappa s^4costheta vn{mZ}^6
\&-32 kappa vn{me}^2 s^3 costheta vn{mZ}^6
\&+16 kappa s^2 psi Gamma^2 costheta vn{mZ}^6
\&-64 kappa vn{me}^2 s psi Gamma^2 costheta vn{mZ}^6
\&-40 kappa s^3 psi costheta vn{mZ}^6
\&+160kappa vn{me}^2 s^2 psi costheta vn{mZ}^6
\&-16 kappa s^5 costheta vn{mZ}^4
\&+64 kappa vn{me}^2 s^4 costheta vn{mZ}^4
\&+8 kappa s^4 Gamma^2 costheta vn{mZ}^4
\&-32 kappa vn{me}^2 s^3 Gamma^2 costheta vn{mZ}^4
\&-8 kappa s^3 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa vn{me}^2 s^2 psi Gamma^2 costheta vn{mZ}^4
\&+32 kappa s^4 psi costheta vn{mZ}^4
\&-128kappa vn{me}^2 s^3 psi costheta vn{mZ}^4
\&+8 kappa s^6 costheta vn{mZ}^2
\&-32 kappa vn{me}^2 s^5 costheta vn{mZ}^2
\&-8 kappa s^5 psi costheta vn{mZ}^2
\&+32 kappa vn{me}^2 s^4 psi costheta vn{mZ}^2
\&-8 alambda s^3 psi phi costheta vn{mZ}^4
\&+32alambda vn{me}^2 s^2 psi phi costheta vn{mZ}^4
\&-8 alambda s^5 phi costheta vn{mZ}^2
\&+32alambda vn{me}^2 s^4 psi costheta vn{mZ}^2
\&+8 alambda s^4 psi phi costheta vn{mZ}^2
\&-32alambda vn{me}^2 s^3 psi phi costheta vn{mZ}^2bigr]
theta(s-4 vn{mpsi}^2)
end{aligned}\
shortintertext{and}
w &=256 vn{cw}^2 vn{mZ}^4 pi^2 s^3 phi^3.
end{align*}
end{document}
answered 35 mins ago
MicoMico
286k32391779
answered 35 mins ago
MicoMico
286k32391779
answered 35 mins ago
MicoMico
286k32391779
answered 35 mins ago
MicoMico
286k32391779
286k32391779
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5
Let me guess: This was generated by some computer algebra system, Maple perhaps?
– Harald Hanche-Olsen
1 hour ago
2
I don't think breaking the equation into separate lines will help with the readability. It's a mess. Go back to maple and try to find a better output. Or start by finding where the fraction switches, and print the numerator and denominator separately.
– Teepeemm
1 hour ago