Two-loop master integrals for a planar topology contributing to $pp \rightarrow t\bar{t}j$ - Archive ouverte HAL Access content directly
Journal Articles JHEP Year : 2023

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

Simon Badger
  • Function : Author
Matteo Becchetti
  • Function : Author
Robin Marzucca
  • Function : Author

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.

Dates and versions

hal-03850953 , version 1 (14-11-2022)

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Simon Badger, Matteo Becchetti, Ekta Chaubey, Robin Marzucca. Two-loop master integrals for a planar topology contributing to $pp \rightarrow t\bar{t}j$. JHEP, 2023, 01, pp.156. ⟨10.1007/JHEP01(2023)156⟩. ⟨hal-03850953⟩
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