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

Authors:
  • SBSimon Badger
    Simon Badger
  • MBMatteo Becchetti
    Matteo Becchetti
  • ECEkta Chaubey
    Ekta Chaubey
  • RMRobin Marzucca
    Robin Marzucca
Preprint
Publisher website
Google Scholar
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.