Abstract

We provide an ultraviolet (UV) complete model for the R(D(∗)) anomalies, in which the additional contribution to semi-tauonic b → c transitions arises from decay to a right-handed sterile neutrino via exchange of a TeV-scale SU(2)L singlet W′. The model is based on an extension of the Standard Model (SM) hypercharge group, U(1)Y , to the SU(2)V × U(1)′ gauge group, containing several pairs of heavy vector-like fermions. We present a comprehensive phenomenological survey of the model, ranging from the low-energy flavor physics, direct searches at the LHC, to neutrino physics and cosmology. We show that, while the W′ and Z′-induced constraints are important, it is possible to find parameter space naturally consistent with all the available data. The sterile neutrino sector also offers rich phenomenology, including possibilities for measurable dark radiation, gamma ray signals, and displaced decays at colliders.

Highlights

  • All these simplified models may naively produce R(D(∗)) in approximate agreement with experiment

  • We provide an ultraviolet (UV) complete model for the R(D(∗)) anomalies, in which the additional contribution to semi-tauonic b → c transitions arises from decay to a right-handed sterile neutrino via exchange of a TeV-scale SU(2)L singlet W

  • We focus on the specific case of an SU(2)L singlet W -type mediator, which needs only carry a nonzero hypercharge. (This is in contrast to ref. [22] which focused on the colored leptoquark mediator, that is more accessible in the direct searches at the LHC.) As such, the W may obtain its mass from the spontaneous breaking of an exotic non-Abelian symmetry

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Summary

Operators and effective scale

We assume the SM field content is supplemented by a single new state, the right-handed sterile neutrino transforming as NR ∼ (1, 1, 0) under SU(3)c × SU(2)L × U(1)Y. This state may couple to the SM quarks via any of the four dimension-6 operators. The best fit value is obtained for C23,3 0.46 ± 0.06 (68% CL, ∆χ2 = 2.3) with minimum ∆χ2 1.0, to be compared with ∆χ2 20 at the SM point, C23,3 = 0. In figure 1 we show the corresponding exclusion region for |C23,3| (orange shaded regions), which is far from the best fit region

Differential distributions
Explicit UV completion: the ‘3221’ gauge model
Gauge symmetry and the spontaneous symmetry breaking pattern
Matter content and new Yukawa interactions
Gauge boson interactions
Neutrino masses
Constraints
LHC constraints
Flavor constraints
TeV 4 mZ c2d3c3N λ2
Neutrino phenomenology
Cosmology
Direct production of additional sterile neutrinos
Conclusions
A Flavor-locked couplings
B Symmetry breaking beyond the minimal model
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