Muon $g-2$ and non-thermal leptogenesis in $U(1{)}_{L_{\mu }-L_{\tau }}$ model

Abstract

The gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ symmetry is the simplest possibility to explain the observed muon $g-2$, while being consistent with the neutrino oscillations through the seesaw mechanism. In this paper, we investigate if leptogenesis can work at the same time. At first glance, leptogenesis seems challenging because the right-handed neutrino masses are related to the $U(1{)}_{L_{\mu }-L_{\tau }}$ breaking scale of $10$-$100$GeV as required from the muon $g-2$. Contrary to this expectation, we find that non-thermal leptogenesis with the right-handed neutrino masses of $\mathcal{O}(10^7)$GeV is possible. The successful scenario results in strict predictions on the neutrino oscillation parameters, which will be tested in future experiments.

62 pages, 11 figures, matching the version published in JHEP

References in corpus (9)

• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• Cosmology With a Very Light $L_{\mu }-L_{\tau }$ Gauge Boson
• Vanishing Minors in the Neutrino Mass Matrix from Abelian Gauge Symmetries
• Muon g-2 and searches for a new leptophobic sub-GeV dark boson in a missing-energy experiment at CERN
• Zero minors of the neutrino mass matrix
• Soft breaking of $L_{\mu }-L_{\tau }$ symmetry: Light neutrino spectrum and Leptogenesis
• TeV Scale Resonant Leptogenesis with $L_{\mu }-L_{\tau }$ Gauge Symmetry in the Light of Muon $(g-2)$