TeV Scale Resonant Leptogenesis with $L_{\mu }-L_{\tau }$ Gauge Symmetry in the Light of Muon $(g-2)$

Abstract

Motivated by the growing evidence for the possible lepton flavour universality violation after the first results from Fermilab's muon $(g-2)$ measurement, we revisit one of the most widely studied anomaly free extensions of the standard model namely, gauged $L_{\mu }-L_{\tau }$ model, to find a common explanation for muon $(g-2)$ as well as baryon asymmetry of the universe via leptogenesis. The minimal setup allows TeV scale resonant leptogenesis satisfying light neutrino data while the existence of light $L_{\mu }-L_{\tau }$ gauge boson affects the scale of leptogenesis as the right handed neutrinos are charged under it. For $L_{\mu }-L_{\tau }$ gauge boson mass at GeV scale or above, the muon $(g-2)$ favoured parameter space is already ruled out by other experimental data while bringing down its mass to sub-GeV regime leads to vanishing lepton asymmetry due to highly restrictive structures of lepton mass matrices at the scale of leptogenesis. Extending the minimal model with two additional Higgs doublets can lead to a scenario consistent with successful resonant leptogenesis and muon $(g-2)$ while satisfying all relevant experimental data.

11 pages, 7 captioned figures, accepted in Physical Review D

References in corpus (14)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• Leptogenesis
• Observation of Coherent Elastic Neutrino-Nucleus Scattering
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• Status of the Higgs Singlet Extension of the Standard Model after LHC Run 1
• Discovering the Higgs Through Highly-Displaced Vertices
• Cosmology With a Very Light $L_{\mu }-L_{\tau }$ Gauge Boson
• Delta r and the W-boson mass in the Singlet Extension of the Standard Model
• Muon g-2 and searches for a new leptophobic sub-GeV dark boson in a missing-energy experiment at CERN
• Reconciling dark matter, $R_{K^{(\ast )}}$ anomalies and $(g-2{)}_{\mu }$ in an $L_{\mu }-L_{\tau }$ scenario
• Soft breaking of $L_{\mu }-L_{\tau }$ symmetry: Light neutrino spectrum and Leptogenesis
• Leptogenesis and neutral gauge bosons
• Quasi-degenerate neutrinos and leptogenesis from L_mu-L_tau