[Paper Review] The Higgs Boson Mass in Gauge-Mediated Supersymmetry-Breaking Models with Generalized Messenger Sectors

Thomas A. Kaeding, S. Nandi|ArXiv.org|Jun 11, 1999

Particle physics theoretical and experimental studies1 references3 citations

TL;DR

This paper investigates the Higgs boson mass in gauge-mediated supersymmetry-breaking (GMSB) models with generalized messenger sectors beyond the standard SU(5) 5+5̄ or 10+10̄ representations. By allowing arbitrary SU(3)⊗SU(2)⊗U(1) multiplets in the messenger sector, the authors compute the lightest Higgs mass and find a maximum value of 132 GeV for Λ = 100 TeV, indicating testability at the upgraded Tevatron.

ABSTRACT

The lighter neutral scalar Higgs mass is examined in gauge-mediated supersymmetry-breaking models in which the messenger sector responsible for SUSY breaking is allowed to involve more general sets of $SU(3) \otimes SU(2) \otimes U(1)$ multiplets than those contained in the SU(5) $5 + \bar{5}$ or $10 + \bar{10}$ multiplets. The largest mass for the lighter scalar Higgs is found to be 132 GeV when the breaking parameter $Λ$ is taken to be 100 TeV\@. Thus the predictions for the lightest Higgs mass can be tested at the upgraded Tevatron runs for these general classes of GMSB models.

Motivation & Objective

• To extend the messenger sector in gauge-mediated supersymmetry-breaking (GMSB) models beyond minimal SU(5) representations such as 5+5̄ or 10+10̄.
• To analyze how generalized messenger multiplets affect the radiative corrections to the Higgs sector.
• To determine the maximum possible mass of the lightest neutral Higgs boson in these generalized GMSB frameworks.
• To assess the phenomenological viability of these models by comparing predicted Higgs masses with experimental constraints.
• To evaluate the potential for testing these models at the upgraded Tevatron collider.

Proposed method

• Constructing GMSB models with arbitrary SU(3)⊗SU(2)⊗U(1) multiplets in the messenger sector, beyond the minimal 5+5̄ or 10+10̄ representations.
• Computing one-loop radiative corrections to the Higgs potential using effective field theory techniques.
• Including contributions from messenger loops to the Higgs mass matrix, particularly from gauge and Yukawa interactions.
• Evaluating the dominant corrections to the tree-level Higgs mass using the renormalization group equations (RGEs) in the context of generalized messenger content.
• Parameterizing the SUSY-breaking scale via Λ, and studying the Higgs mass as a function of Λ and messenger representation content.
• Using the minimal supersymmetric standard model (MSSM) framework with generalized messenger couplings to compute the physical Higgs mass.

Experimental results

Research questions

• RQ1 What is the maximum possible mass of the lightest Higgs boson in GMSB models with generalized messenger sectors?
• RQ2 How do non-minimal messenger representations (beyond 5+5̄ or 10+10̄) affect the radiative corrections to the Higgs mass?
• RQ3 What is the dependence of the Higgs mass on the SUSY-breaking scale Λ in these generalized models?
• RQ4 Can the predicted Higgs mass in these models be probed at the upgraded Tevatron collider?
• RQ5 How do the gauge and Yukawa interactions of the messenger fields influence the Higgs mass in the effective theory?

Key findings

• The maximum value of the lighter neutral Higgs mass in the generalized GMSB models is found to be 132 GeV when the SUSY-breaking scale Λ is set to 100 TeV.
• This maximum Higgs mass is achieved for specific choices of messenger multiplets that maximize the radiative corrections to the Higgs sector.
• The result indicates that the Higgs mass in such models remains within the reach of the upgraded Tevatron experiments, particularly for Λ ~ 100 TeV.
• The inclusion of more general messenger representations leads to enhanced contributions to the Higgs mass compared to minimal models.
• The model-dependent corrections to the Higgs mass are sensitive to the quantum numbers and representations of the messenger fields.
• The prediction of a Higgs mass below 132 GeV suggests that these generalized GMSB models are consistent with current experimental bounds and testable in the near future.