High Precision Calculations of the Higgs Boson Mass

TL;DR

This paper reviews the current state of high-precision calculations of the Higgs boson mass, emphasizing the importance of three-loop corrections in supersymmetric models to reduce theoretical uncertainties.

Contribution

It provides a comprehensive overview of perturbative quantum corrections to the Higgs mass, highlighting the need for very accurate computations in supersymmetric theories.

Findings

Three-loop level corrections are essential for precise Higgs mass predictions.

Theoretical uncertainties significantly impact Higgs mass calculations in supersymmetric models.

Discussion of uncertainties in minimal and next-to-minimal supersymmetric models.

Abstract

In this paper we are going to review the status of the computations of the perturbative quantum corrections to the Higgs boson mass in the Standard Model and in its supersymmetric extensions. In particular, supersymmetric theories require a very accurate computation of the Higgs boson mass, which includes corrections up to even three-loop level, since their predictions are limited by theoretical uncertainties. A discussion about these uncertainties in the context of the minimal and next to minimal supersymmetric standard models is included.