Status of G2HDM with right-handed neutrino coupling in the light of b→cτν anomalies

Recent experimental measurements of several observables in semileptonic B meson decays have pointed toward the possibility of new physics. The LHCb collaboration has reported a significant deviation, exceeding 3.2σ, in the combined measurement of the ratio of branching ratios R(D)–R(D^⋆) from the predictions of the standard model. Furthermore, other observables, such as R<inf>J∕ψ</inf>, P<inf>τ</inf>^D⋆, F<inf>L</inf>^D⋆ and R<inf>Λc</inf> in the b→cℓν transition, have also exhibited noticeable deviations from the standard model predictions. Motivated by these anomalies in the b→cτν transitions, we perform a log-likelihood fit incorporating new physics coming from right-handed neutrino couplings and explore the implications of a charged Higgs boson within a generic two Higgs doublet model (G2HDM). Our comprehensive analysis, focused on the τν and bτν 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.