urechendres1 = Simplify /@ Collect[urechendres /. NM -> nm /. (* Transform back to Minkowski space *) nm[a__] :> (-1)^(Count[{a}, LorentzIndex[__], Infinity, Heads -> True]/2) * NM[a], {_UTrace1}]

-3/2 < Q _ R '6 Q _ R > < ÷„^† '6 Q _ R '6 ÷„ '6 Q _ L > (f _ ϕ^(ó  ))^4 + 1/2 < ÷„^† '6 ÷s _ μ _ 1(÷„) '6 Q _ L >^2 (f _ ϕ^(ó  ))^2 + 1/2 < ÷„^† '6 Q _ R '6 ÷s _ μ _ 1(÷„) >^2 (f _ ϕ^(ó  ))^2 + 7/4 < ÷s _ μ _ 1(÷„)^† '6 ÷s _ μ _ 1(÷„) '6 Q _ L '6 Q _ L > (f _ ϕ^(ó  ))^2 - 1/4 < ÷s _ μ _ 1(÷„)^† '6 c _ μ _ 1^R Q _ R '6 ÷„ '6 Q _ L > (f _ ϕ^(ó  ))^2 - 1/2 < ÷s _ μ _ 1(÷„)^† '6 Q _ R '6 ÷s _ μ _ 1(÷„) '6 Q _ L > (f _ ϕ^(ó  ))^2 - 1/4 < ÷s _ μ _ 1(÷„)^† '6 Q _ R '6 ÷„ '6 c _ μ _ 1^L Q _ L > (f _ ϕ^(ó  ))^2 + 7/4 < ÷s _ μ _ 1(÷„)^† '6 Q _ R '6 Q _ R '6 ÷s _ μ _ 1(÷„) > (f _ ϕ^(ó  ))^2 - 1/4 < ÷„^† '6 ÷s _ μ _ 1(÷„) '6 c _ μ _ 1^L Q _ L '6 Q _ L > (f _ ϕ^(ó  ))^2 + 1/4 < ÷„^† '6 ÷s _ μ _ 1(÷„) '6 Q _ L '6 c _ μ _ 1^L Q _ L > (f _ ϕ^(ó  ))^2 - 1/4 < ÷„^† '6 c _ μ _ 1^R Q _ R '6 ÷s _ μ _ 1(÷„) '6 Q _ L > (f _ ϕ^(ó  ))^2 + 1/4 < ÷„^† '6 c _ μ _ 1^R Q _ R '6 Q _ R '6 ÷s _ μ _ 1(÷„) > (f _ ϕ^(ó  ))^2 - 1/4 < ÷„^† '6 χ '6 Q _ L '6 Q _ L > (f _ ϕ^(ó  ))^2 - 1/4 < ÷„^† '6 Q _ R '6 ÷s _ μ _ 1(÷„) '6 c _ μ _ 1^L Q _ L > (f _ ϕ^(ó  ))^2 - 1/4 < ÷„^† '6 Q _ R '6 c _ μ _ 1^R Q _ R '6 ÷s _ μ _ 1(÷„) > (f _ ϕ^(ó  ))^2 - 1/4 < ÷„^† '6 Q _ R '6 Q _ R '6 χ > (f _ ϕ^(ó  ))^2 - 1/4 < χ^† '6 ÷„ '6 Q _ L '6 Q _ L > (f _ ϕ^(ó  ))^2 - 1/4 < χ^† '6 Q _ R '6 Q _ R '6 ÷„ > (f _ ϕ^(ó  ))^2 + 1/4 < ÷„^† '6 ÷s _ μ _ 1(÷„) '6 Q _ L '6 ÷„^† '6 ÷s _ μ _ 1(÷„) '6 Q _ L > (f _ ϕ^(ó  ))^2 + 1/4 < ÷„^† '6 Q _ R '6 ÷s _ μ _ 1(÷„) '6 ÷„^† '6 Q _ R '6 ÷s _ μ _ 1(÷„) > (f _ ϕ^(ó  ))^2 + 1/8 < ÷s _ μ _ 1(÷„)^† '6 ÷s _ μ _ 2(÷„) >^2 + 11/144 < ÷„^† '6 χ >^2 + 11/144 < χ^† '6 ÷„ >^2 + 3/8 ((f _ ϕ^(ó  ))^4 + 2 C^( ) + (8 (C^( ))^2)/(f _ ϕ^(ó  ))^4) < Q _ L '6 Q _ L >^2 + 3/8 ((f _ ϕ^(ó  ))^4 + 2 C^( ) + (8 (C^( ))^2)/(f _ ϕ^(ó  ))^4) < Q _ R '6 Q _ R >^2 + (3/2 (f _ ϕ^(ó  ))^4 - C^( ) + (8 (C^( ))^2)/(f _ ϕ^(ó  ))^4) < ÷„^† '6 Q _ R '6 ÷„ '6 Q _ L >^2 + 5/24 < χ^† '6 χ > - 1/8 < G _ (μ _ 1 μ _ 2)^L '6 G _ (μ _ 1 μ _ 2)^L > - 1/8 < G _ (μ _ 1 μ _ 2)^R '6 G _ (μ _ 1 μ _ 2)^R > - 1/8 i < ÷s _ μ _ 1(÷„)^† '6 ÷s _ μ _ 2(÷„) '6 G _ (μ _ 1 μ _ 2)^L > + 1/8 i < ÷s _ μ _ 1(÷„)^† '6 ÷s _ μ _ 2(÷„) '6 G _ (μ _ 2 μ _ 1)^L > + 1/8 i < ÷s _ μ _ 1(÷„)^† '6 G _ (μ _ 1 μ _ 2)^R '6 ÷s _ μ _ 2(÷„) > - 1/8 i < ÷s _ μ _ 2(÷„)^† '6 G _ (μ _ 1 μ _ 2)^R '6 ÷s _ μ _ 1(÷„) > + 1/8 < ÷s _ μ _ 1(÷„)^† '6 ÷s _ μ _ 1(÷„) '6 ÷s _ μ _ 2(÷„)^† '6 ÷s _ μ _ 2(÷„) > + 1/16 < ÷s _ μ _ 1(÷„)^† '6 ÷s _ μ _ 2(÷„) '6 ÷s _ μ _ 1(÷„)^† '6 ÷s _ μ _ 2(÷„) > + 3/8 < ÷„^† '6 ÷s _ μ _ 1(÷„) '6 χ^† '6 ÷s _ μ _ 1(÷„) > - 1/4 < ÷„^† '6 G _ (μ _ 1 μ _ 2)^R '6 ÷„ '6 G _ (μ _ 1 μ _ 2)^L > + 5/48 < ÷„^† '6 χ '6 ÷„^† '6 χ > + < Q _ L '6 Q _ L > ((3/4 (f _ ϕ^(ó  ))^4 - C^( )/2 + (4 (C^( ))^2)/(f _ ϕ^(ó  ))^4) < Q _ R '6 Q _ R > - 3/2 (f _ ϕ^(ó  ))^4 < ÷„^† '6 Q _ R '6 ÷„ '6 Q _ L >) + < ÷„^† '6 χ > (11/72 < χ^† '6 ÷„ > + (C^( ) < ÷„^† '6 Q _ R '6 ÷„ '6 Q _ L >)/(f _ ϕ^(ó  ))^2) + 5/48 < χ^† '6 ÷„ '6 χ^† '6 ÷„ > + 3/8 < ÷„ '6 ÷s _ μ _ 1(÷„)^† '6 χ '6 ÷s _ μ _ 1(÷„)^† > + 3/2 C^( ) (-(4 C^( ))/(f _ ϕ^(ó  ))^4 - 1) < Q _ L '6 Q _ L '6 Q _ L '6 Q _ L > + 3/2 C^( ) (-(4 C^( ))/(f _ ϕ^(ó  ))^4 - 1) < Q _ R '6 Q _ R '6 Q _ R '6 Q _ R > + 3 C^( ) ((4 C^( ))/(f _ ϕ^(ó  ))^4 + 1) < ÷„^† '6 Q _ R '6 ÷„ '6 Q _ L '6 ÷„^† '6 Q _ R '6 ÷„ '6 Q _ L > + (2 C^( ) < ÷„^† '6 ÷s _ μ _ 1(÷„) '6 Q _ L > < ÷„^† '6 Q _ R '6 ÷s _ μ _ 1(÷„) >)/(f _ ϕ^(ó  ))^2 + (C^( ) < χ^† '6 ÷„ > < ÷„^† '6 Q _ R '6 ÷„ '6 Q _ L >)/(f _ ϕ^(ó  ))^2 - 1/(16 (f _ ϕ^(ó  ))^2) (< ÷s _ μ _ 1(÷„)^† '6 ÷s _ μ _ 1(÷„) > (4 (< Q _ L '6 Q _ L > + < Q _ R '6 Q _ R >) (f _ ϕ^(ó  ))^4 + (2 (< ÷„^† '6 χ > + < χ^† '6 ÷„ >) - < ÷s _ μ _ 2(÷„)^† '6 ÷s _ μ _ 2(÷„) >) (f _ ϕ^(ó  ))^2 + 16 C^( ) < ÷„^† '6 Q _ R '6 ÷„ '6 Q _ L >)) + (((f _ ϕ^(ó  ))^4 + 6 C^( )) < ÷„^† '6 Q _ R '6 χ '6 Q _ L >)/(4 (f _ ϕ^(ó  ))^2) + (((f _ ϕ^(ó  ))^4 + 6 C^( )) < χ^† '6 Q _ R '6 ÷„ '6 Q _ L >)/(4 (f _ ϕ^(ó  ))^2) + (((f _ ϕ^(ó  ))^4 + 6 C^( )) < ÷„^† '6 Q _ R '6 ÷„ '6 χ^† '6 ÷„ '6 Q _ L >)/(4 (f _ ϕ^(ó  ))^2) + (((f _ ϕ^(ó  ))^4 + 6 C^( )) < ÷„ '6 Q _ L '6 ÷„^† '6 χ '6 ÷„^† '6 Q _ R >)/(4 (f _ ϕ^(ó  ))^2) - (((f _ ϕ^(ó  ))^4 - 6 C^( )) < Q _ L '6 ÷s _ μ _ 1(÷„)^† '6 ÷„ '6 ÷s _ μ _ 1(÷„)^† '6 Q _ R '6 ÷„ >)/(4 (f _ ϕ^(ó  ))^2) - (((f _ ϕ^(ó  ))^4 - 6 C^( )) < Q _ L '6 ÷„^† '6 Q _ R '6 ÷s _ μ _ 1(÷„) '6 ÷„^† '6 ÷s _ μ _ 1(÷„) >)/(4 (f _ ϕ^(ó  ))^2)

Converted by Mathematica  (July 10, 2003)