1306.1496 (Mads Sogaard)

Global Residues and Two-Loop Hepta-Cuts    [PDF]

Mads Sogaard

We derive remarkably compact analytic expressions for coefficients of master integrals with two-loop crossed box topology in four-point gauge theory amplitudes with arbitrary adjoint matter and massless kinematics, thereby providing additional steps towards automated computation of the full amplitude. The coefficients are uniquely obtained by assembling residues extracted through integration on linear combinations of higher-dimensional tori encircling global poles of the loop integrand. Several explicit calculations are provided. We also establish exact equivalence of our results and master integral coefficients recently obtained via integrand-level reduction in any renormalizable gauge theory.

View original: http://arxiv.org/abs/1306.1496