content_image/343427.jpg content_image/343429.jpg content_image/343435.jpg content_image/343436.jpg
between observed value and Lattice can be formulated by 

where we have assumed that V$_{us}$ is known and its uncertainty does not have a significant effect on the decay constant of D$_{s}$ . Taking m$_{c}$ (2GeV) = 1 . 27 GeV, m$_{s}$ (2GeV) = 0 . 104 GeV and m$_{D}$$_{s}$ = 1 . 968 GeV [14], the numerical values of f Exp D$_{s}$ /f Latt D$_{s}$ as a function of η$_{s}$/m$_{H}$ ± and φ ℓ s are plotted in Fig. 3. Owing to the appearance of cos φ ℓ $_{s}$, clearly the sign of H ± contribution could be flipped and the f$_{D}$$_{s}$ puzzle is solved in the general THDM. 

<img src='content_image/343427.jpg'>

<img src='content_image/343429.jpg'>

According to Eq. (16), the BR for B + → ℓ $^{+}$ν can be straightforward written by 

with 

<img src='content_image/343435.jpg'>

<img src='content_image/343436.jpg'>

Due to B being a heavy meson, unlike previous cases, we cannot neglect the associated higher order terms. Accordingly, the contour for the influence of H ± on B + → ℓ $^{+}$ν as a function of η$_{b}$/m$_{H}$ ± and φ ℓ b is plotted in Fig. 4, where the values appeared in the figure represent the ratio of B $^{Exp}$( B + → ℓ $^{+}$ν ) / B $^{SM}$( B + → ℓ $^{+}$ν ). We see clearly that the BR for B + → τ $^{+}$ν can be enhanced to the value of world average. 

In addition to the leptonic decays, we could also study the charged Higgs on semileptonic B decays, such as B → ( P, V ) ℓν . Since the contributions of charged Higgs to light lepton 

