Selected topics on multi-loop calculations to Higgs boson properties and renormalization group functions

TL;DR

This paper reviews advanced multi-loop calculations relevant to Higgs boson properties and renormalization group functions, highlighting recent three-loop corrections and their implications in the Minimal Supersymmetric Standard Model.

Contribution

It presents new three-loop correction results for the Higgs boson mass and production, and detailed calculations of renormalization group functions and decoupling constants.

Findings

Three-loop corrections significantly affect Higgs mass predictions.

Higher order corrections improve the accuracy of Higgs production estimates.

Precise renormalization group functions are essential for beyond Standard Model physics.

Abstract

We review some results obtained in the context of the Collaborative Research Center/Transregio~9. In particular we discuss three-loop corrections to the Higgs boson mass in the Minimal Supersymmetric Standard Model, higher order corrections to Higgs boson production, and the calculations of renormalization group functions and decoupling constants.