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Two-Loop Master Integrals for Leading-Color pp→ttH Amplitudes with a Light-Quark Loop

ORAL

Abstract

In this talk we present the first calculation of two-loop Feynman integrals related to the production of a top-quark pair in association with a Higgs boson at the LHC. These integrals are a necessary ingredient for the computation of the associated NNLO QCD corrections. We construct a basis of master integrals satisfying an ϵ-factorized differential equation, and provide the differential equation in terms of a minimal set of differential one-forms. Furthermore, we explore the function space of iterated integral solutions of these differential equations. Finally, we make use of generalized series expasions to numerically integrate the differential equations from boundary conditions computed via auxiliary mass flow.

Publication: Based on arXiv:2312.08131.

Presenters

  • Gustavo Figueiredo

    Florida State University

Authors

  • Gustavo Figueiredo

    Florida State University

  • Laura Reina

    Florida State University

  • Fernando Febres Cordero

    Florida State University

  • Ben Page

    Ghent University

  • Manfred Kraus

    Universidad Nacional Autonoma de Mexico