An integrand reconstruction method for three-loop amplitudes
Abstract
We consider the maximal cut of a three-loop four point function with massless kinematics. By applying Gröbner bases and primary decomposition we develop a method which extracts all ten propagator master integral coefficients for an arbitrary triple-box configuration via generalized unitarity cuts. As an example we present analytic results for the three loop triple-box contribution to gluon-gluon scattering in Yang-Mills with adjoint fermions and scalars in terms of three master integrals.
- Publication:
-
Journal of High Energy Physics
- Pub Date:
- August 2012
- DOI:
- 10.1007/JHEP08(2012)065
- arXiv:
- arXiv:1207.2976
- Bibcode:
- 2012JHEP...08..065B
- Keywords:
-
- Scattering Amplitudes;
- Supersymmetric gauge theory;
- QCD;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- 15 pages, 1 figure