Abstract

We study an Abelian gauge extension of the standard model with fermion families having non-universal gauge charges. The gauge charges and scalar content are chosen in such an anomaly-free way that only the third generation fermions receive Dirac masses via renormalisable couplings with the Higgs boson. Incorporating additional vector like fermions and scalars with appropriate $U(1)$ charges can lead to radiative Dirac masses of first two generations with neutral fermions going in the loop being dark matter candidates. Focusing on radiative muon mass, we constrain the model from the requirement of satisfying muon mass, recently measured muon anomalous magnetic moment by the E989 experiment at Fermilab along with other experimental bounds including the large hadron collider (LHC) limits. The anomalous Higgs coupling to muon is constrained from the LHC measurements of Higgs to dimuon decay. The singlet fermion dark matter phenomenology is discussed showing the importance of both annihilation and coannihilation effects. Incorporating all bounds lead to a constrained parameter space which can be probed at different experiments.

Highlights

  • Focusing on radiative muon mass, we constrain the model from the requirement of satisfying muon mass, recently measured muon anomalous magnetic moment by the E989 experiment at Fermilab, along with other experimental bounds including the large hadron collider (LHC) limits

  • anomalous magnetic moment (AMM), we constrain the model from the requirement of satisfying muon mass, the latest muon (g − 2) data along with other relevant bounds like the Higgs coupling to muons as measured by the large hadron collider (LHC), Higgs to diphoton bound as well as direct search bounds on beyond standard model (BSM) particles

  • We provide a natural origin of muon AMM together with radiative muon mass and dark matter in a sequential Uð1ÞX gauged model that can explain light neutrino mass from type III seesaw

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Summary

INTRODUCTION

The E989 experiment at Fermilab has measured the anomalous magnetic moment (AMM) of a muon, aμ 1⁄4 ðg − 2Þμ=2, showing a discrepancy with respect to the theoretical prediction of the Standard Model (SM) [1]. ABμ NL 1⁄4 116592089ð63Þ × 10−11; ð3Þ it leads to a 4.2σ observed excess of Δaμ 1⁄4 251ð59Þ× 10−11.1 The theoretical status of SM calculation of muon AMM can be found in [6] While this anomaly is known for a long time since the Brookhaven measurements [7], the recent Fermilab measurements have led to several recent works on updating possible theoretical models with new data, a comprehensive review of which may be found in [8]. We provide a natural origin of muon AMM together with radiative muon mass and dark matter in a sequential Uð1ÞX gauged model that can explain light neutrino mass from type III seesaw.

THE MODEL
MUON ANOMALOUS MAGNETIC MOMENT
ELECTROWEAK PRECISION CONSTRAINTS
ELECTRIC DIPOLE MOMENT AND LEPTON FLAVOR VIOLATION
COLLIDER CONSTRAINTS
DARK MATTER
VIII. RESULTS AND CONCLUSION
H þ M2H sin θ212Þ þ M2H sin θ
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