AMBRE ver: 1.2 new features

<< AMBRE.m

New options

Options[IntPart]

Options[SubLoop]

Options[BarnesLemma]

Text->False - \(can\ be\ used\ to\ create\ full\ automatic\ version\ of\ AMBRE, \ 
      for\ cases\ where\ modification\ of\ F\ polynomial\ is\ not\ \(\(needed\)\(.\)\)\)

Fullintegral[{1}, {PR[k1, m, n1]*
            PR[k1 + p1, m, n2]}, {k1}];
invariants = {p1^2 -> m^2};
IntPart[1, Text -> False]
BarnesLemma[SubLoop[integral, Text -> False], 1, 
      Text -> False]

Xintegration->False - produces representation without performing X integration.

Fullintegral[{1}, {PR[k1, m, n1]*
            PR[k1 + p1, m, n2]}, {k1}];
invariants = {p1^2 -> m^2};

IntPart[1]

SubLoop[integral, Xintegration -> False];

Tensor structure

Same as in older versions

Fullintegral[{k1*p1}, {PR[k1, m, n1]*
            PR[k1 + p1, m, n2]}, {k1}];
invariants = {p1^2 -> m^2};

IntPart[1]

SubLoop[integral];

Tensor structure without external momenta

Fullintegral[{k1[mu]}, {PR[k1, m, n1]*
            PR[k1 + p1, m, n2]}, {k1}];
invariants = {p1^2 -> m^2};

IntPart[1]

SubLoop[integral];

Tensor structure with general external momentum

Fullintegral[{k1*pa}, {PR[k1, m, n1]*
            PR[k1 + p1, m, n2]}, {k1}];
invariants = {p1^2 -> m^2};

IntPart[1]

SubLoop[integral];

More complicated numerator with "k1.k1" internal momenta product.

Fullintegral[{k1*k1, k1*p1, 
          k1*k1}, {PR[k1, m, n1]*
            PR[k1 + p1, m, n2]}, {k1}];
invariants = {p1^2 -> m^2};

IntPart[1]

SubLoop[integral, Result -> True];