R(D(*)) in a general two Higgs doublet model

Motivated by an anomaly in R(D-(*())) = BR((B) over bar -> D-(*())tau(-)(nu) over bar)/BR((B) over bar -> D-(*)l(-)(nu) over bar) reported by BaBar, Belle and LHCb, we study R(D-(*())) in a general two Higgs doublet model (2HDM). Although it has been suggested that it is difficult for the 2HDM to explain the current world average for R(D-(*())), it would be important to clarify how large deviations from the standard model predictions for R(D-(*())) are possible in the 2HDM. We investigate possible corrections to R(D-(*())) in the 2HDM by taking into account various flavor physics constraints (such as B-c(-) -> tau(-)(nu) over bar, b -> s gamma, b -> sl(+)l(-), Delta m(Bd,s), B-s -> mu(+)mu(-) and tau(+)tau(-), and B- -> tau(-)(nu) over bar), and find that it would be possible (impossible) to accommodate the 1 sigma region suggested by the Belle's result when we adopt a constraint BR(B-c(-) -> tau(-)(nu) over bar) <= 30 % (BR(B-c(-) -> tau(-)(nu) over bar) <= 10 %). We also study productions and decays of heavy neutral and charged Higgs bosons at the Large Hadron Collider (LHC) experiment and discuss the constraints and implications at the LHC. We show that in addition to well-studied production modes bg -> tH(-) and gg -> H/A, exotic productions of heavy Higgs bosons such as cg -> bH(+), t + H/A and c (b) over bar -> H+ would be significantly large, and the search for their exotic decay modes such as H/A -> t (c) over bar + c (t) over bar, mu(+/-)tau(-/+) and H+ -> c (b) over bar as well as H/A -> tau(+)tau(-) and H+ -> tau(+)nu would be important to probe the interesting parameter regions for R(D-(*())). (C) 2017 Published by Elsevier B.V.