Search for the Decay $B_s^0\to \hat{I}{\cdot }^{\prime }\hat{I}\cdot$

Abstract

In the Standard Model (SM) charmless hadronic decays $B_s^0\to \hat{I}{\cdot }^{\prime }\hat{I}\cdot$ proceed via tree-level $b\to u$ and penguin $b\to s$ transitions. Penguin transitions are sensitive to Beyond-the-Standard-Model (BSM) physics scenarios and could affect the branching fractions and {\it CP} asymmetries in such decays. Once branching fractions for two-body decays $B_s\to \hat{I}\cdot \hat{I}\cdot ,\hat{I}\cdot \hat{I}{\cdot }^{\prime },\hat{I}{\cdot }^{\prime }\hat{I}{\cdot }^{\prime }$ are measured, and the theoretical uncertainties are reduced, it would be possible to extract {\it CP} violating parameters from the data using the formalism based on SU(3)/U(3) symmetry. To achieve this goal, at least four of these six branching fractions need to be measured. Only the branching fraction for $B_s^0\to \hat{I}{\cdot }^{\prime }\hat{I}{\cdot }^{\prime }$ has been measured so far.