Study on muon MDM and lepton EDM in BLMSSM via the mass insertion approximation

TL;DR

This paper investigates the muon anomalous magnetic moment and lepton electric dipole moments within the BLMSSM framework, highlighting parameter sensitivities, numerical results aligning with experimental deviations, and the role of CP-violating phases in new physics exploration.

Contribution

It provides the first detailed calculation of muon MDM and lepton EDM in BLMSSM using the mass insertion approximation, emphasizing the impact of specific parameters and CP phases.

Findings

Best numerical estimate of muon MDM deviation is around 2.5×10^{-9}.

CP violating phases in BLMSSM are larger than in MSSM, affecting CP violation.

Parameters like tanβ, g_L, m_L, and μ_H significantly influence muon MDM.

Abstract

In the framework of the MSSM extension with local gauged baryon and lepton numbers (BLMSSM), we calculate the muon anomalous magnetic dipole moment (MDM) and lepton $(e, \mu, \tau)$ electric dipole moment (EDM), and discuss how the muon MDM and lepton EDM depend on the parameters within the mass insertion approximation. Among many parameters, $\tan{\beta}$,~$g_L$,~$m_L$ and $\mu_H$ are more sensitive parameters for $a^{BL}_{\mu}$. Considering the experimental limitations, our best numerical result of $a^{BL}_{\mu}$ is around $2.5 \times 10^{-9}$, which can well compensate the departure between the experiment data and Standard Model (SM) prediction. The CP violating phases in BLMSSM are more than those in the MSSM, including new parameters $\theta_{\mu_L}$ and $\theta_{L}$. They can give large contributions, which play an important role in exploring the source of CP violation and probing new physics beyond SM.