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arXiv · 2210.17477

Two-loop master integrals for a planar topology contributing to $pp \rightarrow t\bar{t}j$

Simon Badger·Matteo Becchetti·Ekta Chaubey·Robin Marzucca
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Abstract

We consider the case of a two-loop five-point pentagon-box integral configuration with one internal massive propagator that contributes to top-quark pair production in association with a jet at hadron colliders. We construct the system of differential equations for all the master integrals in a canonical form where the analytic form is reconstructed from numerical evaluations over finite fields. We find that the system can be represented as a sum of d-logarithmic forms using an alphabet of 71 letters. Using high precision boundary values obtained via the auxiliary mass flow method, a numerical solution to the master integrals is provided using generalised power series expansions.

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Simon Badger, Matteo Becchetti, Ekta Chaubey, Robin Marzucca. 2022-10-31. Two-loop master integrals for a planar topology contributing to $pp \rightarrow t\bar{t}j$. https://doi.org/10.1007/jhep01(2023)156

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