The corrections from one loop and two-loop Barr-Zee type diagrams to muon MDM in BLMSSM

TL;DR

This paper calculates one-loop and two-loop Barr-Zee type diagram contributions to the muon magnetic dipole moment within the BLMSSM, a supersymmetric model with local baryon and lepton number symmetries, considering experimental constraints.

Contribution

It provides a detailed analysis of higher-order corrections to muon MDM in BLMSSM, including effective Wilson coefficients, which was not previously explored.

Findings

New physics contribution can reach 24×10^{-10}

Results can explain the muon g-2 deviation

Analysis consistent with Higgs and neutrino data

Abstract

In a supersymmetric extension of the standard model where baryon and lepton numbers are local gauge symmetries(BLMSSM) and the Yukawa couplings between Higgs doublets and exotic quarks are considered, we study the one loop diagrams and the two-loop Barr-Zee type diagrams with a closed Fermi(scalar) loop between the vector Boson and Higgs. Using the effective Lagrangian method, we deduce the Wilson coefficients of dimension 6 operators contributing to the anomalous magnetic moment of muon, which satisfies the electromagnetic gauge invariance. In the numerical analysis, we consider the experiment constraints from Higgs and neutrino data. In some parameter space, the new physics contribution is large and even reaches $24\times10^{-10}$, which can remedy the deviation well.