Non-universal Z' from SO(10) GUTs with vector-like family and the origin of neutrino masses

Abstract

A $Z^{\prime }$ gauge boson with mass around the (few) TeV scale is a popular example of physics beyond the Standard Model (SM) and can be a fascinating remnant of a Grand Unified Theory (GUT). Recently, $Z^{\prime }$ models with non-universal couplings to the SM fermions due to extra vector-like states have received attention as potential explanations of the present $R_K$, $R_{K^{\ast }}$ anomalies; this includes GUT model proposals based on the $\mathrm{SO}(10)$ group. In this paper we further develop GUT models with a flavour non-universal low scale $Z^{\prime }$ and clarify several outstanding issues within them. First, we successfully incorporate a realistic neutrino sector (with linear and/or inverse low scale seesaw mechanism), which was so far a missing ingredient. Second, we investigate in detail their compatibility with the $R_K$, $R_{K^{\ast }}$ anomalies; we find that the anomalies do not have a consistent explanation within such models. Third, we demonstrate that these models have other compelling phenomenological features; we study the correlations between the flavour violating processes of $\mu \to 3e$ and $\mu$-$e$ conversion in a muonic atom, showing how a GUT imprint could manifest itself in experiments.

Revised version, published in NPB. New material, general conclusions unchanged. 30 pages, 4 figures, 2 tables

References in corpus (19)

• Big-Bang Nucleosynthesis
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• 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 $L_{\mu }-L_{\tau }$
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Search for new high-mass phenomena in the dilepton final state using 36 fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}$ = 13 TeV with the ATLAS detector
• Lepton Flavor Violation in B Decays?
• Hint of Lepton Flavour Non-Universality in $B$ Meson Decays
• Family non-universal Z' models with protected flavor-changing interactions
• Research Proposal for an Experiment to Search for the Decay μ -> eee
• Lepton Flavor Non-Universality in B decays from Dynamical Yukawas
• Z' physics with early LHC data
• A New Light Particle in B Decays?
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Flavourful $Z^{\prime }$ models for $R_{K^{(\ast )}}$
• On Light Resonance Interpretations of the B Decay Anomalies
• Recent $\mathbf{B}$ Physics Anomalies - a First Hint for Compositeness?
• Probing $Z$-$Z^{\prime }$ mixing with ATLAS and CMS resonant diboson production data at the LHC at $\sqrt{s}=13$ TeV
• Flavor violating $Z^{\prime }$ from $SO(10)$ SUSY GUT in High-Scale SUSY
• $SO(10)$ inspired $Z^{\prime }$ models at the LHC

Cited by in corpus (13)

• Is it possible to explain the muon and electron $g-2$ in a $Z^{\prime }$ model?
• $R_{K^{(\ast )}}$ and the origin of Yukawa couplings
• $R_{K^{(\ast )}}$ with leptoquarks and the origin of Yukawa couplings
• Studying the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies and $(g-2{)}_{\mu }$ in $R$-parity violating MSSM framework with the inverse seesaw mechanism
• Magnetic Moments of Leptons, Charged Lepton Flavor Violations and Dark Matter Phenomenology of a Minimal Radiative Dirac Neutrino Mass Model
• HNL mass degeneracy: implications for low-scale seesaws, LNV at colliders and leptogenesis
• Origin of Yukawa couplings for Higgs and leptoquarks
• Heavy Neutrino-Antineutrino Oscillations in Quantum Field Theory
• Quark-lepton Yukawa ratios and nucleon decay in SU(5) GUTs with type-III seesaw
• Muon anomalies and the $SU(5)$ Yukawa relations
• On the LHC signatures of $SU(5)\times U(1{)}^{\prime }$ F-theory motivated models
• Rare nonleptonic ${\bar{B}}_s^0$ decays as probes of new physics behind $b\to s\mu \bar{\mu }$ anomalies
• Beyond lepton number violation at the HL-LHC: Resolving heavy neutrino-antineutrino oscillations