Three-loop master integrals for the Higgs boson self-energy with internal top-quarks and W-bosons

Abstract We consider the full set of master integrals with internal top-and W-propagators contributing to the three-loop Higgs self-energy diagrams of order O $$ \mathcal{O} $$ (α 2 α s ). We split the master integrals into a system relevant to the Feynman diagrams proportional to the product of Yuk...

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Bibliographic Details
Main Authors: Ekta Chaubey, Ina Hönemann, Stefan Weinzierl
Format: Article
Language:English
Published: SpringerOpen 2022-11-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP11(2022)051
Description
Summary:Abstract We consider the full set of master integrals with internal top-and W-propagators contributing to the three-loop Higgs self-energy diagrams of order O $$ \mathcal{O} $$ (α 2 α s ). We split the master integrals into a system relevant to the Feynman diagrams proportional to the product of Yukawa couplings y b y t and the complement. For both systems we define master integrals of uniform weight, such that the associated differential equation is in ε-factorised form. The occurring square roots are rationalised and all master integrals are expressible in multiple polylogarithms.
ISSN:1029-8479