Abstract
Given that the two-Higgs-doublet model of type III (2HDM-III) has the potential to address the \( {R}_{D^{\left(*\right)}} \) anomalies while the resolution to the \( {R}_{K^{\left(*\right)}} \) deficits requires new degrees of freedom within this framework, we consider in this paper a unified scenario where the low-scale type-I seesaw mechanism is embedded into the 2HDM-III, so as to accommodate the \( {R}_{D^{\left(*\right)}} \) and \( {R}_{K^{\left(*\right)}} \) anomalies as well as the neutrino mass. We first revisit the \( {R}_{D^{\left(*\right)}} \) anomalies and find that the current world-averaged results can be addressed at 2σ level without violating the bound from the branching ratio \( \mathrm{\mathcal{B}}\left({B}_c^{-}\to {\tau}^{-}\overline{\nu}\right) \) ≤ 30%. The scenario predicts two sub-eV neutrino masses based on a decoupled heavy Majorana neutrino and two nearly degenerate Majorana neutrinos with mass around the electroweak scale. For the \( {R}_{K^{\left(*\right)}} \) anomalies, the same scenario can generate the required Wilson coefficients in the direction C NP9 μ = − C NP10 μ < 0, with \( \mathcal{O}(1) \) Yukawa couplings for the muon and the top quark.
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Li, SP., Li, XQ., Yang, YD. et al. \( {R}_{D^{\left(*\right)}},{R}_{K^{\left(*\right)}} \) and neutrino mass in the 2HDM-III with right-handed neutrinos. J. High Energ. Phys. 2018, 149 (2018). https://doi.org/10.1007/JHEP09(2018)149
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DOI: https://doi.org/10.1007/JHEP09(2018)149