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

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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https://hal.archives-ouvertes.fr/hal-03850953
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Submitted on : Monday, November 14, 2022 - 11:21:17 AM
Last modification on : Friday, November 18, 2022 - 3:52:16 AM

### Citation

Simon Badger, Matteo Becchetti, Ekta Chaubey, Robin Marzucca. Two-loop master integrals for a planar topology contributing to $pp \rightarrow t\bar{t}j$. 2022. ⟨hal-03850953⟩

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