CPasymmetries in radiativeBdecays withR-parity violation

We analyze the effect of R-parity violation in the minimal supersymmetric standard model on the CP asymmetries in $b\to s \gamma$ decay. The direct and mixing-induced CP asymmetries arising from the lepton number violating couplings are strongly constrained by the current experimental limits on the corresponding couplings. Allowing a heavy neutrino ($m_{\nu_\tau}\sim10$ keV) and a moderate mass splitting of sfermions, the direct CP asymmetry around 15 % and the nearly maximal mixing-induced CP asymmetry ($\sim 100 %$) can be realized, depending on the R-parity conserving contributions to the radiative $b$ decay. With the baryon number violating couplings, only the mixing-induced CP asymmetry arises and it can be maximal provided there is a the similar sfermion mass splitting.Comment: 20 pages, 2 figures. Eqs. (24,25,37) and typos corrected. Conclusions unchanged. To appear in Phy. Rev.