A two-Higgs-doublet model facing experimental hints

Physics beyond the Standard Model has so far eluded our experimental probes. Nevertheless, a number of interesting anomalies have accumulated that can be taken as hints towards new physics: BaBar, Belle, and LHCb have found deviations of approximately 3:8sigma in B -> Dtaunu and B -> D^*taunu; the anomalous magnetic moment of the muon differs by about 3sigma from the theoretic prediction; the branching ratio for tau -> mununu is about 2sigma above the Standard Model expectation; and CMS and ATLAS found hints for a non-zero decay rate of h -> mutau at 2.6sigma. Here we consider these processes within a lepton-specific two-Higgs doublet model with additional non-standard Yukawa couplings and show how (and which of) these excesses can be accommodated