Abstract

Low-energy lepton observables are discussed in the Minimal R-symmetric Supersymmetric Standard Model. We present comprehensive numerical analyses and the analytic one-loop results for (g − 2)μ, μ → eγ, and μ → e conversion. The interplay between the three observables is investigated as well as the parameter regions with large g − 2. A striking difference to the MSSM is the absence of tanβ enhancements; however we find smaller enhancements governed by MRSSM-specific R-Higgsino couplings λd and Λd. As a result we find significant contributions to g − 2 only in a small parameter space with several SUSY masses below 200 GeV, compressed spectra and large λd, Λd. In this parameter space there is a correlation between all three considered observables. In the parameter region with small (g − 2)μ the SUSY masses can be larger and the correlation between μ → eγ and μ → e conversion is weak. Therefore already COMET Phase 1 has a promising sensitivity to the MRSSM.

Highlights

  • In preparation of the planned experiments it is timely to study the range of possible predictions for these observables in candidate alternatives to the SM

  • A striking difference to the MSSM is the absence of tan β enhancements; we find smaller enhancements governed by minimal R-symmetric SUSY standard model (MRSSM)-specific R-Higgsino couplings λd and Λd

  • In the present paper we have considered the MRSSM predictions for aμ and the lepton-flavour violating observables μ → eγ and μ → e

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Summary

Model definition

We provide the definition and relevant properties of the minimal R-symmetric supersymmetric standard model (MRSSM), originally introduced in ref. [18]. The requirement of U(1)R invariance forbids the usual MSSM-like Majorana mass terms for gauginos and the Higgsino-mass μ-parameter. In the MRSSM, gauginos and Higgsinos obtain Dirac-like masses involving new superfields which have no MSSM counterparts. J = 1, 2, 3 are generation indices It contains scalar mass terms for the Higgs fields and the new scalar fields which are not required for the present paper. There are non-MSSM-like soft SUSY-breaking terms which give Dirac masses to the gauginos. These can be generated from spurions Wα = θαD from a hidden sector. Φi are the field strength superfields and the new adjoint chiral superfields for each gauge group Which describes Dirac mass terms for the gauginos and interaction terms between the adjoint scalars and the auxiliary D-fields of the corresponding gauge multiplet

Masses and mixings
Feynman rules
Relevant parameters and experimental constraints
Analysis of aμ in the MRSSM
Summary plots based on scans
Conclusions
A MRSSM Feynman rules
Full Text
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