New physics in b → sμ + μ −: CP-violating observables

Abstract

We perform a comprehensive study of the impact of new-physics operators with different Lorentz structures on CP-violating observables involving the b → sμ + μ − transition. We examine the effects of new vector-axial vector (VA), scalar-pseudoscalar (SP) and tensor (T) interactions on the CP asymmetries in the branching ratios and forward-backward asymmetries of $ \overline B_s^0 \to {\mu^{+} }{\mu^{-} } $ , $ \overline B_d^0 \to {X_{\text{s}}}{\mu^{+} }{\mu^{-} } $ , $ \overline B_s^0 \to {\mu^{+} }{\mu^{-} }\gamma $ , $ \overline B_d^0 \to \overline K {\mu^{+} }{\mu^{-} } $ , and $ \overline B_d^0 \to {\overline K^* }{\mu^{+} }{\mu^{-} } $ . In $ \overline B_d^0 \to {\overline K^* }{\mu^{+} }{\mu^{-} } $ , we also explore the direct CP asymmetries in the longitudinal polarization fraction f L and the angular asymmetries $ A_T^{(2)} $ and A LT , as well as the triple-product CP asymmetries $ A_T^{\left( {im} \right)} $ and $ A_{LT}^{\left( {im} \right)} $ . We find that, in almost all cases, the CP-violating observables are sensitive only to new physics which involves VA operators. The VA new physics may therefore be unambiguously identified by a combined analysis of future measurements of these CP-violating observables.