Motivated by the anomalies present in $b\to s{l}^{+}{l}^{-}$ neutral current decays, we study the corresponding $B_c\to (D_s,D_s^{*}){\mu }^{+}{\mu }^{-}$ decays within the standard model and beyond. We use a model independent effective theory formalism in the presence of vector and axial vector new physics operators and study the implications of the latest global fit to the $b\to s{l}^{+}{l}^{-}$ data on various observables for the $B_c\to (D_s,D_s^{*}){\mu }^{+}{\mu }^{-}$ decays. We give predictions on several observables such as the differential branching ratio, ratio of branching ratios, forward backward asymmetry, and the longitudinal polarization fraction of the $D_s^{*}$ meson within standard model and within several new physics scenarios. These results can be tested at the Large Hadron Collider and, in principle, can provide complementary information regarding new physics in $b\to s{l}^{+}{l}^{-}$ neutral current decays.

• Received 14 June 2019

DOI:https://doi.org/10.1103/PhysRevD.100.075025

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society