The Higgs Boson: Shall We See It Soon Or Is It Still Far Away?

TL;DR

This paper reviews the status and prospects of detecting the Higgs boson within the Standard Model and supersymmetric models, emphasizing theoretical predictions of its mass and experimental search strategies.

Contribution

It provides an analysis of the Higgs mass predictions in MSSM using renormalization group equations and discusses the implications for experimental searches.

Findings

Higgs mass likely below 130 GeV in MSSM scenarios

Infrared quasi-fixed points constrain Higgs mass predictions

Extended models can raise Higgs mass limits up to 50 GeV

Abstract

The status of the Higgs boson mass in the Standard Model and its supersymmetric extensions is reviewed and the perspectives of Higgs searches are discussed. The parameter space of the Minimal Supersymmetric Standard Model (MSSM) is analysed with the emphasis on the lightest Higgs mass. The infrared behaviour of renormalization group equations for the parameters of MSSM is examined and infrared quasi-fixed points are used for the Higgs mass predictions. They strongly suggest the Higgs mass to be lighter than 100 or 130 GeV for low and high $\tan\beta$ scenarios, respectively. Extended models, however, allow one to increase these limits for low $\tan\beta$ up to 50%.