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

Abstract

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.

Keywords

• Higgs Properties
• Higher Order Electroweak Calculations
• Higher-Order Perturbative Calculations