Abstract

We investigate the prospects for the discovery of neutral Higgs bosons with a pair of muons by direct searches at the CERN large hadron collider (LHC) as well as by indirect searches in the rare decay Bs→μ+μ− at the Fermilab Tevatron and the LHC. Promising results are found for the minimal supersymmetric standard model, the minimal supergravity (mSUGRA) model, and supergravity models with non-universal Higgs masses (NUHM SUGRA). For tanβ≃50, we find that (i) the contours for a branching fraction of B(Bs→μ+μ−)=1×10−8 in the parameter space are very close to the 5σ contours for pp→bϕ0→bμ+μ−+X, ϕ0=h0, H0, A0 at the LHC with an integrated luminosity (L) of 30 fb−1, (ii) the regions covered by B(Bs→μ+μ−)⩾5×10−9 and the discovery region for bϕ0→bμ+μ− with 300 fb−1 are complementary in the mSUGRA parameter space, (iii) in NUHM SUGRA models, a discovery of B(Bs→μ+μ−)≃5×10−9 at the LHC will cover regions of the parameter space beyond the direct search for bϕ0→bμ+μ− with L=300 fb−1.

Highlights

  • The minimal supersymmetric standard model (MSSM) [1] has two Higgs doublets φ1 and φ2 that couple to fermions with weak isospin −1/2 and +1/2 respectively [2]

  • We investigate the prospects for the discovery of neutral Higgs bosons with a pair of muons by direct searches at the CERN Large Hadron Collider (LHC) as well as by indirect searches in the rare decay Bs → μ+μ− at the Fermilab Tevatron and the LHC

  • For tan β ≃ 50, we find that (i) the contours for a branching fraction of B(Bs → μ+μ−) = 1 × 10−8 in the parameter space are very close to the 5σ contours for pp → bφ0 → bμ+μ− + X, φ0 = h0, H0, A0 at the LHC with an integrated luminosity (L) of 30 fb−1, (ii) the regions covered by B(Bs → μ+μ−) ≥ 5× 10−9 and the discovery region for bφ0 → bμ+μ− with 300 fb−1 are complementary in the minimal supergravity (mSUGRA) parameter space, (iii) in NUHM SUGRA models, a discovery of B(Bs → μ+μ−) ≃ 5 × 10−9 at the LHC will cover regions of the parameter space beyond the direct search for bφ0 → bμ+μ− with L = 300 fb−1

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Summary

INTRODUCTION

The minimal supersymmetric standard model (MSSM) [1] has two Higgs doublets φ1 and φ2 that couple to fermions with weak isospin −1/2 and +1/2 respectively [2]. A large value of tan β greatly enhances the production rate of Higgs bosons produced in association with bottom quarks as well as the branching fraction of the rare decay Bs → μ+μ− mediated by neutral Higgs bosons. [20] to investigate the discovery at the LHC of a neutral Higgs boson produced with one bottom quark followed by Higgs decay into a muon pair. Obtained by the Collider Detector at Fermilab (CDF) and the DØ collaborations [27] While this branching fraction is small in the SM, it could become large in supersymmetric models [28]-[46] and this rare decay provides a possible opportunity for the CDF and the DØ experiments to discover new physics in the near future.

THE MINIMAL SUPERSYMMETRIC STANDARD MODEL
SUPERSYMMETRIC UNIFIED MODELS
The minimal supergravity unified model
The mSUGRA model with non-universal Higgs masses
Findings
CONCLUSIONS
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