Two-loop master integrals for a planar topology contributing to pp → tt-j

Simon Badger*, Matteo Becchetti, Ekta Chaubey, Robin Marzucca

*Corresponding author for this work

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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.

Original languageEnglish
Article number156
JournalJournal of High Energy Physics
Volume2023
Issue number1
Number of pages35
ISSN1029-8479
DOIs
Publication statusPublished - 26 Jan 2023

Keywords

  • Higher-Order Perturbative Calculations
  • Top Quark
  • DIFFERENTIAL-EQUATIONS
  • EPSILON
  • PARTS
  • TOOL

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