Muon anomalous magnetic dipole moment in the $\mu\nu$SSM

TL;DR

This paper reanalyzes the muon anomalous magnetic dipole moment within the $ u$SSM framework at two-loop level, showing it can account for the experimental deviation from the Standard Model and exploring related lepton anomalies and Higgs decays.

Contribution

It provides a detailed two-loop level analysis of the muon MDM in the $ u$SSM, demonstrating its potential to explain experimental anomalies and examining related lepton and Higgs decay processes.

Findings

The $ u$SSM can explain the muon g-2 anomaly within experimental constraints.

The model's predictions are consistent with Higgs mass and decay data.

Analysis of electron and tau MDMs supports the model's viability.

Abstract

Recently, the Muon g-2 experiment at Fermilab has measured the muon anomalous magnetic dipole moment (MDM), $a_\mu=(g_\mu-2)/2$, which reported that the new experimental average increases the tension between experiment and the standard model (SM) prediction to 4.2$\sigma$. In this work, we reanalyse the muon anomalous MDM at two-loop level in the $\mu$ from $\nu$ Supersymmetric Standard Model ($\mu\nu$SSM) combined with the updated experimental average. The $\mu\nu$SSM can explain the current tension between the experimental measurement and the SM theoretical prediction for the muon anomalous MDM, constrained by the 125 GeV Higgs boson mass and decays, the rare decay $\bar{B}\rightarrow X_s\gamma$ and so on. We also investigate the anomalous MDM of the electron and tau lepton, $a_e=(g_e-2)/2$ and $a_\tau=(g_\tau-2)/2$, at two-loop level in the $\mu\nu$SSM. In addition, the 125 GeV Higgs boson decays to a pair of charged leptons in the $\mu\nu$SSM are also analysed.