content_image/341814.jpg content_image/341820.jpg content_image/341821.jpg content_image/341822.jpg
<img src='content_image/341814.jpg'>

where η F = diag( η$_{F}$$_{1}$, η$_{F}$$_{2}$, η$_{F}$$_{3}$ ) is a new diagonal matrix and the elements are undetermined complex parameters. Based on Eq. (6), the corresponding charged Higgs interactions could be written as 

<img src='content_image/341820.jpg'>

where all flavor indices are suppressed and V = V U L V D † L is the Cabibbo-Kobayashi-Maskawa (CKM) matrix. For comparison, if we take η$_{U}$$_{i}$ = cot β and η$_{D}$$_{i}$ = η$_{ℓ}$$_{i}$ = tan β ( i =1-3), Eq. (14) can be restored to the type-II THDM. 

According to Eq. (14), the effective Hamiltonian for d$_{j}$ → u$_{i}$ℓ ¯ ν$_{ℓ}$ mediated by H ± is found by 

where we have used G$_{F}$ = 1 $_{/}$√$_{2}$$_{v}$ 2 and (¯ u$_{i}$d$_{j}$ )$_{S}$$_{±}$$_{P}$ = ¯ u$_{i}$ (1 ± γ$_{5}$ ) d$_{j}$ . With the definition of P -meson decay constant, given by 

<img src='content_image/341821.jpg'>

<img src='content_image/341822.jpg'>

