Off-diagonal terms in Yukawa textures of the Type-III 2-Higgs doublet model and light charged Higgs boson phenomenology

We discuss flavor-violating constraints and consequently possible charged Higgs boson phenomenology emerging from a four-zero Yukawa texture embedded within the Type-III 2-Higgs Doublet Model (2HDM-III). Firstly, we show in detail how we can obtain several kinds of 2HDMs when some parameters in the Yukawa texture are absent. Secondly, we present a comprehensive study of the main B-physics constraints on such parameters induced by flavor-changing processes, in particular on the off-diagonal terms of such a texture: i.e., from mu - e universality in tau decays, several leptonic B-decays (B -> tau nu, D -> mu nu and D-s -> l nu), the semi-leptonic transition B -> D tau nu plus B -> X-s gamma, including B-0 - (B) over bar (0) mixing, B-s -> mu(+)mu(-) and the radiative decay Z -> b (b) over bar. Thirdly, having selected the surviving 2HDM-III parameter space, we show that the H(-)c (b) over bar b coupling can be very large over sizable expanses of it, in fact, a very different situation with respect to 2HDMs with a flavor discrete symmetry (i.e., Z(2)) and very similar to the case of the Aligned-2HDM (A2HDM) as well as of models with three or more Higgs doublets. Fourthly, we study in detail the ensuing H-+/- phenomenology at the Large Hadron Collider (LHC), chiefly the c (b) over bar -> H+ production mode and the H+ -> c (b) over bar decay channel while assuming tau(+)nu(tau) decays in the former and t -> bH(+) production in the latter, showing that significant scope exists in both cases.