Neutrino transition magnetic moment in the $U(1)_X$SSM

TL;DR

This paper explores the neutrino transition magnetic moment within the $U(1)_X$SSM, a supersymmetric extension of the Standard Model, analyzing how model parameters influence the magnetic moment through radiative corrections.

Contribution

It introduces the $U(1)_X$SSM model with additional Higgs and neutrinos, and calculates the neutrino transition magnetic moment considering experimental neutrino data.

Findings

The neutrino magnetic moment magnitude is around 10^{-20} to 10^{-19} μ_B.

Model parameters like g_X, M_2, λ_H, and g_YX significantly affect the magnetic moment.

The study provides a numerical framework linking model parameters to neutrino magnetic properties.

Abstract

This paper investigates the neutrino transition magnetic moment in the $U(1)_X$SSM. $U(1)_X$SSM is the $U(1)$ extension of Minimal Supersymmetric Standard Model (MSSM) and its local gauge group is extended to $SU(3)_C\times SU(2)_L \times U(1)_Y\times U(1)_X$. To obtain this model, three singlet new Higgs superfields and right-handed neutrinos are added to the MSSM, which can explain the results of neutrino oscillation experiments. The neutrino transition magnetic moment is induced by electroweak radiative corrections. By applying effective Lagrangian method and on-shell scheme, we study the associated Feynman diagrams and the transition magnetic moment of neutrinos in the model. We fit experimental data for neutrino mass variances and mixing angle. Based on the range of data selection, the influences of different sensitive parameters on the results are analysed. The numerical analysis shows that many parameters have an effect on the neutrino transition moment, such as $g_X$, $M_2$, $\lambda_H$ and $g_{YX}$. For our numerical results, the order of magnitude of $\mu_{ij}^M/\mu_B$ is around $10^{-20}$ $\sim$ $10^{-19}$.