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

被引：0

作者：

Ekta Chaubey

Ina Hönemann

Stefan Weinzierl

机构：

[1] Physics Department,PRISMA Cluster of Excellence, Institut für Physik

[2] University of Turin and INFN Turin,undefined

[3] Johannes Gutenberg-Universität Mainz,undefined

来源：

Journal of High Energy Physics | / 2022卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{O} $$\end{document}(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.

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