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Dressing L_mu - L_tau in Color
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We consider a new massive vector-boson Z' that couples to leptons through the L_mu - L_tau current, and to quarks through an arbitrary set of couplings. We show that such a model can be obtained from a renormalizable field theory involving new heavy fermions in an anomaly-free representation. The model is a candidate explanation for the discrepancy observed recently by the LHCb collaboration in angular distributions of the final state particles in the rare decay B \to K* mu^+ mu^-. Interestingly, the new vector-boson contribution to the decay tau \to mu nu_tau \bar nu_mu can also remove a small tension in the measurement of the corresponding branching ratio. Constraints from light flavor meson-mixing restrict the coupling to the up- and down-quarks to be very small and thus direct production of the vector-boson at hadron colliders is strongly suppressed. The most promising ways to test the model is through the measurement of the Z decay to four leptons and through its effect on neutrino trident production of muon pairs. This latter process is a powerful but little-known constraint, which surprisingly rules out explanations of (g-2)_mu based on Z' gauge bosons coupled to muon number, with mass of at least a few GeV.
Forward citations
Cited by 7 Pith papers
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Generalised $\mu$-$\tau$ symmetries and calculable gauge kinetic and mass mixing in $U(1)_{L_\mu-L_\tau}$ models
The authors compute the previously arbitrary Z-Z' kinetic and mass mixing at one loop in two L_mu-L_tau models, finding a suppressed mixing in a seesaw version and a non-decoupling mixing in a vectorlike-lepton version.
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Gauging the accidental symmetries of the Standard Model, and implications for the flavour anomalies
Gauging an almost arbitrary combination of baryon number, lepton numbers and hypercharge, with three new singlet fermions, yields a Z' framework that can explain the B decay flavour anomalies with a universal axial co...
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Gauged $U(1)_{L_\mu-L_\tau}$ Scotogenic Model in light of $R_{K^{(*)}}$ Anomaly and AMS-02 Positron Excess
A gauged U(1)_{L_mu-L_tau} scotogenic model can simultaneously accommodate the R_K(*) anomaly and the AMS-02 positron excess, at the cost of tuned benchmark parameters and marginal agreement with CMB and gamma-ray con...
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Associated $Z^\prime$ production in the flavorful $U(1)$ scenario for $R_{K^{(*)}}$
A flavorful Z' model for the B-meson anomalies predicts discoverable associated-production signatures at the HL-LHC: dimuon + b-jets for M_Z' up to ~500 GeV and tri-muon + missing energy for larger muon couplings.
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New Avenues of Heavy Neutral Lepton at Muon Collider
In a U(1) gauged seesaw model, Z'Z' fusion processes at muon colliders enable HNL pair production via Z'Z'→H→NN and Z'Z'→NN, yielding LNV signals not suppressed by Higgs mixing.
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Scalar dark matter, Neutrino mass and Leptogenesis in a $\rm U(1)_{B-L}$ model
A U(1)B-L model with four anomaly-cancelling fermions can satisfy dark matter relic density and direct detection bounds, neutrino oscillation data, and the observed baryon asymmetry through resonant leptogenesis.
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Constraints on New Physics from $B$ mesons
A 2019 review of B meson and kaon physics anomalies, summarizing the evidence for lepton flavor universality violation and tensions in mixing and CP violation, and assessing new physics explanations.
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