Abstract
In this work, we present a solution to the persistent tensions in the decay observables ${R}_{{D}^{(*)}}$ and ${R}_{{K}^{(*)}}$ by introducing a $SU(2{)}_{L}$ doublet and a $SU(2{)}_{L}$ triplet scalar leptoquarks (LQs) that reside at the TeV energy scale. Neutrinos that remain massless in the Standard Model receive naturally small masses at one-loop level via the propagation of the same LQs inside the loop. Such a common origin of apparently disjoint phenomenological observations is appealing, and we perform a comprehensive analysis of this setup. We identify the minimal Yukawa textures required to accommodate these flavor anomalies and to successfully incorporate neutrino oscillation data while being consistent with all experimental constraints. This scenario has the potential to be tested at the experiments by the future improved measurements in the lepton flavor violating processes. Furthermore, proper explanations of these flavor anomalies predict TeV scale LQs that are directly accessible at the LHC.
Highlights
In the Standard Model (SM) of particle physics, all the charged fermions receive their masses as a result of the electroweak (EW) symmetry breaking, whereas neutrinos remain massless
It is important to emphasize that we are interested in finding viable solutions where all the neutrino observables and the RDðÃÞ, RKðÃÞ flavor ratios are reproduced within their 1σ measured values
The issue of generating neutrino masses is directly linked with the persistent observation of B meson decay anomalies in the RD; RDÃ and RK; RKÃ ratios over the last several years
Summary
In the Standard Model (SM) of particle physics, all the charged fermions receive their masses as a result of the electroweak (EW) symmetry breaking, whereas neutrinos remain massless. Among them the charged lepton flavor violating processes that receive large contributions provide a way to probe this scenario in the experiments This model can be tested at the LHC since existence of TeV scale LQs are required for consistent explanations of flavor anomalies. Associated to charged current processes, the ratio RJ=ψ shows enhancement [116] in the tauoniuc mode to the muonic mode for B → J=ψlν, the longitudinal polarization of DÃ meson in the B → DÃτν decay known as fDLÃ deviates from the SM value by ∼1.5σ [117], and PÃτ the polarization asymmetry in the longitudinal direction of the tau in the DÃ mode is found to show some tension with theory [26] These anomalies can play prominent roles in finding NP, currently they have either large error bars or suffer from large hadronic uncertainties.
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