Numerical evaluation of phase space integrals by sector decomposition
T Binoth, G Heinrich - Nuclear physics B, 2004 - Elsevier
T Binoth, G Heinrich
Nuclear physics B, 2004•ElsevierIn a series of papers we have developed the method of iterated sector decomposition for the
calculation of infrared divergent multi-loop integrals. Here we apply it to phase space
integrals to calculate a contribution to the double real emission part of the e+ e−→ 2 jets
cross section at NNLO. The explicit cancellation of infrared poles upon summation over all
possible cuts of a given topology is worked out in detail for a specific example.
calculation of infrared divergent multi-loop integrals. Here we apply it to phase space
integrals to calculate a contribution to the double real emission part of the e+ e−→ 2 jets
cross section at NNLO. The explicit cancellation of infrared poles upon summation over all
possible cuts of a given topology is worked out in detail for a specific example.
In a series of papers we have developed the method of iterated sector decomposition for the calculation of infrared divergent multi-loop integrals. Here we apply it to phase space integrals to calculate a contribution to the double real emission part of the e+e−→2 jets cross section at NNLO. The explicit cancellation of infrared poles upon summation over all possible cuts of a given topology is worked out in detail for a specific example.
Elsevier