Numerical evaluation of phase space integrals by sector decomposition

Abstract

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.

15 pages, 2 figures

References in corpus (10)

• A new method for real radiation at NNLO
• Numerical evaluation of multi-loop integrals by sector decomposition
• Four-Particle Phase Space Integrals in Massless QCD
• Subtraction terms at NNLO
• Multiple Singular Emission in Gauge Theories
• Two-Loop Helicity Amplitudes for Quark-Gluon Scattering in QCD and Gluino-Gluon Scattering in Supersymmetric Yang-Mills Theory
• Subtraction terms for one-loop amplitudes with one unresolved parton
• Two-loop QCD helicity amplitudes for massless quark-massless gauge boson scattering
• Two-loop QCD helicity amplitudes for massless quark-quark scattering
• All-Orders Singular Emission in Gauge Theories

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