Anomalous muon magnetic moment, supersymmetry, naturalness, LHC search limits and the landscape

Abstract

The recent measurement of the muon anomalous magnetic moment a_μ\equiv (g-2)_μ/2 by the Fermilab Muon g-2 experiment sharpens an earlier discrepancy between theory and the BNL E821 experiment. We examine the predicted Δa_μ\equiv a_μ(exp)-a_μ(th) in the context of supersymmetry with low electroweak naturalness (restricting to models which give a plausible explanation for the magnitude of the weak scale). A global analysis including LHC Higgs mass and sparticle search limits points to interpretation within the normal scalar mass hierarchy (NSMH) SUSY model wherein first/second generation matter scalars are much lighter than third generation scalars. We present a benchmark model for a viable NSMH point which is natural, obeys LHC Higgs and sparticle mass constraints and explains the muon magnetic anomaly. Aside from NSMH models, then we find the (g-2)_μanomaly cannot be explained within the context of natural SUSY, where a variety of data point to decoupled first/second generation scalars. The situation is worse within the string landscape where first/second generation matter scalars are pulled to values in the 10-50 TeV range. An alternative interpretation for SUSY models with decoupled scalar masses is that perhaps the recent lattice evaluation of the hadronic vacuum polarization could be confirmed which leads to a Standard Model theory-experiment agreement in which case there is no anomaly.

20 pages with 4 .png figures; v2, self-energies stabilized, references added

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• Flux Compactification
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• A top-squark hunter's guide
• Muon g-2 and CP violation in MSSM
• Measurement of the inclusive $B\to X_{s+d}\gamma$ branching fraction, photon energy spectrum and HQE parameters
• Landscape Higgs and sparticle mass predictions from a logarithmic soft term distribution
• Dark matter, fine-tuning and $(g-2{)}_{\mu }$ in the pMSSM

Cited by in corpus (9)

• Electron and muon magnetic moments and implications for dark matter and model characterisation in non-universal $U(1{)}^{\prime }$ supersymmetric models
• Impact of recent $(g-2{)}_{\mu }$ measurement on the light CP-even Higgs scenario in general Next-to-Minimal Supersymmetric Standard Model
• Mixed modulus and anomaly mediation in light of the muon $g-2$ anomaly
• Neutrinoless Double Beta Decay via Light Neutralinos in R-Parity Violating Supersymmetry
• Explaining the Muon g-2 Anomaly in Deflected AMSB for NMSSM
• Tests of gluino-driven radiative breaking of the electroweak symmetry at the LHC
• Particle physics and cosmology intertwined
• Upper bound on the smuon mass from vacuum stability in the light of muon $g-2$ anomaly
• Supersymmetric Alignment Models for $(g-2{)}_{\mu }$