The Natural Explanation of the Muon Anomalous Magnetic Moment via the Electroweak Supersymmetry from the GmSUGRA in the MSSM

TL;DR

This paper demonstrates that Electroweak Supersymmetry within the MSSM framework, realized via GmSUGRA, can naturally explain the muon g-2 anomaly with a viable parameter space consistent with current experiments.

Contribution

It introduces a natural explanation for the muon g-2 anomaly using EWSUSY in the MSSM with GmSUGRA, identifying a large viable parameter space.

Findings

Viable parameter space with LSP neutralino ≥ 550 GeV.

Most of the parameter space can be tested at HL-LHC.

Some regions require HE-LHC or face challenges if R-parity is violated.

Abstract

The Fermi-Lab Collaboration has announced the results for the measurement of muon anomalous magnetic moment. Combining with the previous results by the BNL experiment, we have $4.2 \sigma$ deviation from the Standard Model (SM), which strongly implies the new physics around 1 TeV. To explain the muon anomalous magnetic moment naturally, we analyze the corresponding five Feynman diagrams in the Supersymetric SMs (SSMs), and show that the Electroweak Supersymmetry (EWSUSY) is definitely needed. We realize the EWSUSY in the Minimal SSM (MSSM) with Genernalized Mininal Supergravity (GmSUGRA). We find large viable parameter space, which is consistent with all the current experimental constraints. In particular, the Lightest Supersymmetric Particle (LSP) neutralino can be at least as heavy as 550 GeV. Most of the viable parameter space can be probed at the future HL-LHC, while we do need the future HE-LHC to probe some viable parameter space. However, it might still be challenge if R-parity is violated.