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 mathcal{O} (α2αs). We split the master integrals into a system relevant to the Feynman diagrams proportional to the product of Yukawa couplings ybyt 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.