Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$

Abstract

We discuss a simple renormalisable, gauge invariant model with a fermiophobic $Z^{\prime }$ boson: it has no couplings to the three Standard Model (SM) chiral families, but does couple to a fourth vector-like (VL) family. The SM Higgs couples to the fourth VL lepton, leading to an enhanced contribution to the muon anomalous magnetic moment ${\left(g-2\right)}_{\mu }$. The latter contribution requires a non-vanishing coupling of $Z^{\prime }$ to right-handed muons, which arises within this model due to mixing effects between the SM and VL fermions, along with $Z^{\prime }$ couplings to the second generation SM lepton doublet and third generation SM quark doublet. This model can simultaneously account for the measured $B$-decay ratios $R_{K^{(\ast )}}$ and ${\left(g-2\right)}_{\mu }$. We identify the parameter space where this explanation is consistent with existing experimental constraints coming from $B_s-{\bar{B}}_s$ mixing, neutrino trident production and collider searches. We also check that the SM Higgs coupling to the fourth VL lepton does not produce a dangerous contribution to the Higgs diphoton decay.

arXiv comment26 pages, 12 Figures, 3 Tables

References in corpus (65)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Test of lepton universality with $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• 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
• Two-pion contribution to hadronic vacuum polarization
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Neutrino Trident Production: A Powerful Probe of New Physics with Neutrino Beams
• On the Standard Model predictions for $R_K$ and $R_{K^{\ast }}$
• Remarks on higher-order hadronic corrections to the muon g-2
• The hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• 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 $L_{\mu }-L_{\tau }$
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Search for lepton-universality violation in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Dressing L_mu - L_tau in Color
• Short-distance constraints for the HLbL contribution to the muon anomalous magnetic moment
• Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
• Effective field theory approach to $b\to s\ell {\ell }^{(\prime )}$, $B\to K^{(\ast )}\nu \bar{\nu }$ and $B\to D^{(\ast )}\tau \nu$ with third generation couplings
• Global analysis of $b\to s\ell \ell$ anomalies
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• Angular Distributions of B -> K ll Decays
• Flavour anomalies after the $R_{K^{\ast }}$ measurement
• Confronting lepton flavor universality violation in B decays with high-$p_T$ tau lepton searches at LHC
• 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?
• B-decay discrepancies after Moriond 2019
• Towards the discovery of new physics with lepton-universality ratios of $b\to s\ell \ell$ decays
• Explaining Dark Matter and $B$ Decay Anomalies with an $L_{\mu }-L_{\tau }$ Model
• Measurement of Branching Fractions and Rate Asymmetries in the Rare Decays B -> K(*) l+ l-
• $R_K$ and $R_{K^{\ast }}$ beyond the Standard Model
• Compilation of low-energy constraints on 4-fermion operators in the SMEFT
• Lepton flavor violating Z' explanation of the muon anomalous magnetic moment
• On the single leptoquark solutions to the $B$-physics anomalies
• A Dark Matter Relic From Muon Anomalies
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• $\Delta M_s$ theory precision confronts flavour anomalies
• Test of lepton flavor universality and search for lepton flavor violation in $B\to K\ell \ell$ decays
• Muon Anomalous Magnetic Moment and Leptoquark Solutions
• Flavoured $B-L$ Local Symmetry and Anomalous Rare $B$ Decays
• Z' models for the LHCb and g-2 muon anomalies
• $(g-2{)}_{\mu }$, Lepton Flavour Violation and $Z$ Decays with Leptoquarks: Correlations and Future Prospects
• Implications of new evidence for lepton-universality violation in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• Role of Tensor operators in $R_K$ and $R_{K^{\ast }}$
• Complete Vector-like Fourth Family and new $\mathrm{U}(1{)}^{\prime }$ for Muon Anomalies
• Flavourful $Z^{\prime }$ portal for vector-like neutrino Dark Matter and $R_{K^{(\ast )}}$
• Correlating $h\to {\mu }^{+}{\mu }^{-}$ to the Anomalous Magnetic Moment of the Muon via Leptoquarks
• A "Vector-like chiral" fourth family to explain muon anomalies
• Observation of Z decays to four leptons with the CMS detector at the LHC
• flavio: a Python package for flavour and precision phenomenology in the Standard Model and beyond
• Is it possible to explain the muon and electron $g-2$ in a $Z^{\prime }$ model?
• Complete Vector-like Fourth Family with ${\mathrm{U}(1)}^{\prime }$: A Global Analysis
• Fermion mass hierarchies from vector-like families with an extended 2HDM and a possible explanation for the electron and muon anomalous magnetic moments
• Bottom-quark Fusion Processes at the LHC for Probing $Z^{\prime }$ Models and B-meson Decay Anomalies
• Twin Pati-Salam theory of flavour with a TeV scale vector leptoquark
• Phenomenology of an extended IDM with loop-generated fermion mass hierarchies
• Origin of Yukawa couplings for Higgs and leptoquarks
• On the effective lifetime of $B_s\to \mu \mu \gamma$

Cited by in corpus (1)

• $B$ Flavour Anomalies: 2021 Theoretical Status Report