The $(g-2)_{\mu}$ anomaly, Higgs bosons and heavy neutrinos

TL;DR

This paper investigates how a left-right symmetric model with specific Higgs fields and heavy neutrinos can explain the muon g-2 anomaly by analyzing contributions from various Higgs bosons and their couplings.

Contribution

It introduces a detailed analysis of the Higgs sector's impact on muon g-2 within a left-right symmetric model, linking Higgs couplings to heavy neutrino parameters.

Findings

Model can explain BNL'00 muon g-2 result at specific parameters.

Higgs boson masses and couplings significantly influence muon g-2.

Heavy neutrino sector parameters affect Higgs couplings and muon magnetic moment.

Abstract

Within the model based on the $SU (2)_L\times SU (2)_R\times U (1)_{B-L} $ gauge group and having the bidoublet and two triplets of the Higgs fields (left-right model) the Higgs sector impact on the value of the muon anomalous magnetic moment is considered. The contributions coming from the doubly charged Higgs bosons, the singly charged Higgs bosons and the lightest neutral Higgs boson are taken into account. The obtained value of the muon anomalous magnetic moment is the function of the Higgs boson masses and the Higgs boson couplings constants (CC's). We express the most of part of the CC's as the functions of the heavy neutrino sector parameters. We show that at the particular parameters values the model under study could explain the BNL'00 result.