Two-loop non-planar hexa-box integrals with one massive leg
Adam Kardos, Costas G. Papadopoulos, Alexander V. Smirnov, Nikolaos, Syrrakos, Christopher Wever
TL;DR
This paper introduces a new method for calculating complex two-loop non-planar integrals with one massive leg, using differential equations and generalized polylogarithms, relevant for high-precision particle physics predictions.
Contribution
It presents a novel approach to boundary term calculation and a one-dimensional integral representation for challenging master integrals with non-factorisable square roots.
Findings
Derived explicit integral representations for master integrals.
Applicable to NNLO QCD corrections for vector boson and Higgs production.
Enhanced computational techniques for complex Feynman integrals.
Abstract
Based on the Simplified Differential Equations approach, we present results for the two-loop non-planar hexa-box families of master integrals. We introduce a new approach to obtain the boundary terms and establish a one-dimensional integral representation of the master integrals in terms of Generalised Polylogarithms, when the alphabet contains non-factorisable square roots. The results are relevant to the study of NNLO QCD corrections for and Higgs-boson production in association with two hadronic jets.
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