Abstract
In the aligned two-Higgs-doublet model, we perform a complete one-loop computation of the short-distance Wilson coefficients C_{7,9,10}^{(prime )}, which are the most relevant ones for brightarrow sell ^+ell ^- transitions. It is found that, when the model parameter left| varsigma _{u}right| is much smaller than left| varsigma _{d}right| , the charged scalar contributes mainly to chirality-flipped C_{9,10}^prime , with the corresponding effects being proportional to left| varsigma _{d}right| ^2. Numerically, the charged-scalar effects fit into two categories: (A) C_{7,9,10}^mathrm {H^pm } are sizable, but C_{9,10}^{prime mathrm {H^pm }}simeq 0, corresponding to the (large left| varsigma _{u}right| , small left| varsigma _{d}right| ) region; (B) C_7^mathrm {H^pm } and C_{9,10}^{prime mathrm {H^pm }} are sizable, but C_{9,10}^mathrm {H^pm }simeq 0, corresponding to the (small left| varsigma _{u}right| , large left| varsigma _{d}right| ) region. Taking into account phenomenological constraints from the inclusive radiative decay Brightarrow X_{s}{gamma }, as well as the latest model-independent global analysis of brightarrow sell ^+ell ^- data, we obtain the much restricted parameter space of the model. We then study the impact of the allowed model parameters on the angular observables P_2 and P_5' of B^0rightarrow K^{*0}mu ^+mu ^- decay, and we find that P_5' could be increased significantly to be consistent with the experimental data in case B.
Highlights
Several interesting deviations from the Standard Model (SM) predictions have been observed in these decays
With the constrained parameter space for ςu and ςd, we investigate the impact of A2HDM on the angular observables P2 and P5 in the decay B0 → K ∗0μ+μ−
Using the allowed values of ςu and ςd with three benchmark values of chargedscalar mass obtained in the previous subsection, we show in Fig. 5 the correlations among these five Wilson coefficients
Summary
Several interesting deviations from the SM predictions have been observed in these decays. It should be noted that, complementary to the direct searches, indirect constraints on the 2HDM could be obtained from the rare FCNC decays like B → K ∗ + −, since these scalars can affect these processes through the penguin and box diagrams. These studies are very helpful to gain further insights into the scalar sector of supersymmetry and other models that have similar scalar contents [49,50,51]. Some relevant functions for the Wilson coefficients are collected in the appendices
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