Abstract

We present a supersymmetric extension of the Standard Model in which the new physics contributions to the anomalous magnetic moment of the muon can be more than an order of magnitude larger than in the minimal supersymmetric Standard Model. The extended electroweak symmetry breaking sector of the model can consistently accommodate Higgs bosons and Higgsinos with O(1) couplings to muons. We find that sleptons with masses in the multi-TeV range can comfortably explain the recently confirmed discrepancy in the anomalous magnetic moment of the muon. We discuss additional phenomenological aspects of the model, including its effects on tau flavor changing decays.

Highlights

  • Further scrutiny of this anomaly is needed, it is interesting to ask what this anomaly may imply for new physics [58,59,60]

  • We present a supersymmetric extension of the Standard Model in which the new physics contributions to the anomalous magnetic moment of the muon can be more than an order of magnitude larger than in the minimal supersymmetric Standard Model

  • Known examples include lepto-quark contributions that in some models can be enhanced by the ratio of top mass to muon mass, mt/mμ, or contributions in the minimal supersymmetric Standard Model (MSSM) that are enhanced by tan β, the ratio of the vacuum expectation values of the two Higgs doublets of the MSSM

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Summary

Muon anomalous magnetic moment in the MSSM

We start by briefly reviewing the well known 1-loop slepton contributions to the anomalous magnetic moment of the muon in the MSSM [61, 62]. The parameter arises from tan β-enhanced threshold corrections to the muon mass. It is given by [68, 69] (see [70,71,72,73]). In the limit that all SUSY masses are equal and neglecting the threshold corrections, the above expressions give As it is evident from the above equation, even for large values of tan β 50, the typical mass scale of the involved supersymmetric particles (sleptons and electroweakinos) is below. For large values of μ, the MSSM scalar potential can develop charge breaking minima and vacuum stability considerations strongly constrain the parameter space. The corresponding region of parameter space is completely safe from vacuum stability constraints and all Yukawa couplings remain perturbative

The MSSM with a flavorful Higgs sector
Phenomenological implications
Conclusions and outlook
A Loop functions
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