•Preliminaries

fren = {ParticleMass[Pion, RenormalizationState[0]] -> ParticleMass[Pion, RenormalizationState[1]], DecayConstant[Pion, RenormalizationState[0]] -> DecayConstant[Pion, RenormalizationState[1]]} ;

manrules = {MandelstamS + MandelstamT + MandelstamU -> 4 ParticleMass[Pion, RenormalizationState[1]]^2, MandelstamS + MandelstamT -> 4 ParticleMass[Pion, RenormalizationState[1]]^2 - MandelstamU, MandelstamS + MandelstamU -> 4 ParticleMass[Pion, RenormalizationState[1]]^2 - MandelstamT, MandelstamU + MandelstamT -> 4 ParticleMass[Pion, RenormalizationState[1]]^2 - MandelstamS, a_ * MandelstamS + a_ * MandelstamT -> a (4 ParticleMass[Pion, RenormalizationState[1]]^2 - MandelstamU), a_ * MandelstamS + a_ * MandelstamU -> a (4 ParticleMass[Pion, RenormalizationState[1]]^2 - MandelstamT), a_ * MandelstamU + a_ * MandelstamT -> a (4 ParticleMass[Pion, RenormalizationState[1]]^2 - MandelstamS)} ;

SetOptions[MandelstamReduce, Cancel -> MandelstamU, MomentumVariablesString -> "p", Masses -> {ParticleMass[Pion, RenormalizationState[1]], ParticleMass[Pion, RenormalizationState[1]], ParticleMass[Pion, RenormalizationState[1]], ParticleMass[Pion, RenormalizationState[1]]}]

{MomentaSumLeft -> All, OnMassShell -> True, Cancel -> u, MomentumVariablesString -> p, MomentaSumRule -> True, Masses -> {m _ π^(ó  r  ), m _ π^(ó  r  ), m _ π^(ó  r  ), m _ π^(ó  r  )}}

NOTICE:  The default convention of Phi is at variance with the default convention of FeynCalc w.r.t. Mandelstam variables (t<->u).  Below u is correspondingly written before t, setting the FeynCalc Mandelstam variables in agreement with the Phi default convention. Uncommenting should speed things up.

(* SetMandelstam[MandelstamS, MandelstamU, MandelstamT, p1, p2, p3, p4, ParticleMass[Pion, RenormalizationState[0]], ParticleMass[Pion, RenormalizationState[0]], ParticleMass[Pion, RenormalizationState[0]], ParticleMass[Pion, RenormalizationState[0]]] ; *)


Converted by Mathematica  (July 10, 2003)