A Review of Higgs Mass Calculations in Supersymmetric Models

TL;DR

This paper reviews methods for calculating the Higgs boson mass in supersymmetric models, focusing on the Minimal Supersymmetric Standard Model and the techniques used to incorporate large radiative corrections.

Contribution

It provides a comprehensive overview of the current computational approaches and publicly available tools for Higgs mass calculations in supersymmetric theories.

Findings

Summarizes Feynman-diagrammatic and effective field theory techniques.

Highlights the importance of radiative corrections for Higgs mass predictions.

Serves as an entry point and current status update for researchers in the field.

Abstract

The discovery of the Higgs boson is both a milestone achievement for the Standard Model and an exciting probe of new physics beyond the SM. One of the most important properties of the Higgs is its mass, a number that has proven to be highly constraining for models of new physics, particularly those related to the electroweak hierarchy problem. Perhaps the most extensively studied examples are supersymmetric models, which, while capable of producing a 125 GeV Higgs boson with SM-like properties, do so in non-generic parts of their parameter spaces. We review the computation of the Higgs mass in the Minimal Supersymmetric Standard Model, in particular the large radiative corrections required to lift $m_h$ to 125 GeV and their calculation via Feynman-diagrammatic and effective field theory techniques. This review is intended as an entry point for readers new to the field, and as a summary of the current status, including the existing analytic calculations and publicly-available computer codes.