# $${R}_{D^{\left(*\right)}},{R}_{K^{\left(*\right)}}$$ and neutrino mass in the 2HDM-III with right-handed neutrinos

Journal of High Energy Physics, Sep 2018

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 9 μ NP  = − C 10 μ NP  < 0, with $$\mathcal{O}(1)$$ Yukawa couplings for the muon and the top quark.

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Shao-Ping Li, Xin-Qiang Li, Ya-Dong Yang, Xin Zhang. $${R}_{D^{\left(*\right)}},{R}_{K^{\left(*\right)}}$$ and neutrino mass in the 2HDM-III with right-handed neutrinos, Journal of High Energy Physics, 2018, 149, DOI: 10.1007/JHEP09(2018)149