Flavor constraints on the Two Higgs Doublet Models of Z 2 symmetric and aligned types

We give a comprehensive study from flavor observables of π, k, d (s), and b (s) mesons for limiting the two higgs doublet models (2hdms) with natural flavor conservation, namely, z 2 symmetric (type i, ii, x, y) and aligned types of models. with use of updated theoretical predictions and experimental analyses of b → τν, d → μν, d s → τν, d s → μν, k → μν, π → μν, b 0  → μ + μ −, b 0  → μ + μ −, τ → kν, τ → πν, $$ overline{b}to {x}_sgamma $$ , $$ khbox{-} overline{k} $$ mixing, $$ {b}_d^0hbox{-} {overline{b}}_d^0 $$ mixing, and $$ {b}_s^0hbox{-} {overline{b}}_s^0 $$ mixing, we obtain constraints on the parameters in the 2hdms. to calculate the constraints, we pay attention to a determination of ckm matrix elements and re-fit them to experimental data so that new contributions from additional higgs bosons do not affect the determination. as a result, we find that the charged higgs boson mass less than around 490 gev is ruled out from $$ overline{b}to {x}_sgamma $$ in the type ii and y models, whereas large tan β is excluded from b 0  → μ + μ − in the type ii. we also see that severe constraints on the mass and couplings are put from $$ overline{b}to {x}_sgamma $$ , b 0  → μ + μ −, and $$ {b}_s^0hbox{-} {overline{b}}_s^0 $$ in the aligned model. in addition, we discuss excesses of observables in the muon anomalous magnetic moment and the semi-tauonic b meson decays in the context of the 2hdm, and find that the aligned model can explain part of the excesses, compatible with the other constraints.