The two-loop contributions to muon MDM in $U(1{)}_X$ SSM

Abstract

The MSSM is extended to the $U(1{)}_X$SSM, whose local gauge group is $SU(3{)}_C\times SU(2{)}_L\times U(1{)}_Y\times U(1{)}_X$. To obtain the $U(1{)}_X$SSM, we add the new superfields to the MSSM, namely: three Higgs singlets $\hat{\eta },\hat{\bar{\eta }},\hat{S}$ and right-handed neutrinos ${\hat{\nu }}_i$. It can give light neutrino tiny mass at the tree level through the seesaw mechanism. The study of the contribution of the two-loop diagrams to the MDM of muon under $U(1{)}_X$SSM provides the possibility for us to search for new physics. In the analytical calculation of the loop diagrams (one-loop and two-loop diagrams), the effective Lagrangian method is used to derive muon MDM. Here, the considered two-loop diagrams include Barr-Zee type diagrams and rainbow type two-loop diagrams, especially Z-Z rainbow two-loop diagram is taken into account. The obtained numerical results can reach $7.4\times 10^{-10}$, which can remedy the deviation between SM prediction and experimental data to some extent.

23 pages, 8 figures

References in corpus (8)

• Muon g-2: Review of Theory and Experiment
• The Muon Magnetic Moment and Supersymmetry
• Tan(beta)-enhanced supersymmetric corrections to the anomalous magnetic moment of the muon
• Electroweak and supersymmetric two-loop corrections to lepton anomalous magnetic and electric dipole moments
• Renormalization and two loop electroweak corrections to lepton anomalous dipole moments in the standard model and beyond (I): heavy fermion contributions
• Phenomenology of the General NMSSM with Gauge Mediated Supersymmetry Breaking
• The two loop supersymmetric corrections to lepton anomalous dipole moments in split supersymmetry scenarios
• The corrections from one loop and two-loop Barr-Zee type diagrams to muon MDM in BLMSSM

Cited by in corpus (7)

• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• Study muon g-2 at two-loop level in the $U(1{)}_X$SSM
• A smuon in the NMSSM confronted with the muon g-2 and SUSY searches
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Light neutralino dark matter in $U(1{)}_X$SSM
• $Z$ boson decays $Z\to {l_i}^{\pm }{l_j}^{\mp }$ and Higgs boson decays $h\to {l_i}^{\pm }{l_j}^{\mp }$ with lepton flavor violation in a $U(1)$ extension of the MSSM
• The Higgs boson decay $h\to bs$ in the $U(1{)}_X$SSM