•Reduction of the amplitude

The one-loop integrals are simplified:

aff = SUNReduce[SUNReduce[SUNReduce[SUNReduce[amplFC /. i3 -> i1 // DoSumOver]]]] /. subpar /. udrules /. gellmannOkubo /. toEtaRules // Simplify ;

af = aff /. a_FeynAmpDenominator :> (a /. PropagatorDenominator -> tmpprop) /. b_PropagatorDenominator :> PropagatorDenominatorExplicit[b] /. tmpprop -> PropagatorDenominator ;

The loop integrals are expressed in terms of Passarino-Veltman symbols.

ampreduced = OneLoop[q1, #] & /@ aff ;

The divergences are singled out:

ampinfinities = Simplify /@ VeltmanExpand[ampreduced, ExplicitLeutwylerJ0 -> True] ;


Converted by Mathematica  (July 10, 2003)