Status of G2HDM with right handed neutrino coupling in the light of $b\to c\tau \nu$ anomalies

Abstract

Recent experimental measurements of several observables in semileptonic B meson decays have pointed towards the possibility of new physics. The LHCb collaboration has reported a significant deviation, exceeding $3.2\sigma$, in the combined measurement of the ratio of branching ratios $R(D)-R(D^{\star })$ from the predictions of the standard model. Furthermore, other observables, such as $R_{J/\psi }$, $P_{\tau }^{D^{\star }}$, $F_L^{D^{\star }}$, and $R_{{\Lambda }_c}$ in the $b\to c\ell \nu$ transition, have also exhibited noticeable deviations from the standard model predictions. Motivated by these anomalies in the $b\to c\tau \nu$ transitions, we perform a log-likelihood fit incorporating new physics coming from right-handed neutrino couplings and explored the implications of a charged Higgs boson within a generic two Higgs doublet model (G2HDM). Our comprehensive analysis, focused on the $\tau \nu$ and $b\tau \nu$ final states, was performed using the High Luminosity run of the Large Hadron Collider (HL-LHC). We demonstrate that HL-LHC has the sensitivity to exclude the remaining allowed region in G2HDM model in explaining these anomalies with charged Higgs boson coupled to right-handed neutrino.