Direct CP-asymmetry in Inclusive Rare B-decays in 2HDM

Abstract

The direct CP-asymmetry in the inclusive $B\to X_d\gamma$ and $B\to X_d{e}^{+}{e}^{-}$ decays is investigated in the two-Higgs doublet extension of the Standard Model (2HDM). The investigation is performed in the lowest non-vanishing order of the perturbation theory using the existing restrictions on the 2HDM parameters space. It is shown that the direct CP-asymmetry in the $B\to X_d\gamma$ decay can deviate significantly from the Standard Model predictions. In the presence of only one source of CP-violation (the CKM matrix weak phase) $a_{CP}(B\to X_d\gamma )$ can have the sign opposite to that in the SM. The new source of CP-violation can make $|a_{CP}(B\to X_d\gamma )|$ arbitrary small (unlike the SM case) and hence unmeasurable. Quantitatively, the obtained results suffer from the uncertainty of the choice of renormalization scale. As for the $B\to X_d{e}^{+}{e}^{-}$ rate asymmetry, its renormalization scale dependence in the lowest non-vanishing order does not allow to conclude if this quantity is efficient for testing New Physics beyond the Standard Model.

16 pages including 2 figures

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