Hepta-Cuts of Two-Loop Scattering Amplitudes

Details Hepta-Cuts of Two-Loop Scattering Amplitudes Hepta-Cuts of Two-Loop Scattering Amplitudes

2012-02-09

arxiv.org/abs/1202.2019v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

37 pages, 6 figures. version 2 : minor updates, published version

Scientific paper

10.1007/JHEP04(2012)055

We present a method for the computation of hepta-cuts of two loop scattering amplitudes. Four dimensional unitarity cuts are used to factorise the integrand onto the product of six tree-level amplitudes evaluated at complex momentum values. Using Gram matrix constraints we derive a general parameterisation of the integrand which can be computed using polynomial fitting techniques. The resulting expression is further reduced to master integrals using conventional integration by parts methods. We consider both planar and non-planar topologies for 2 to 2 scattering processes and apply the method to compute hepta-cut contributions to gluon-gluon scattering in Yang-Mills theory with adjoint fermions and scalars.

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