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Motivated by the anomalies present in $b \to s\,l^+\,l^-$ neutral currentdecays, we study the corresponding $B_c \to (D_s,\,D^{\ast}_s)\mu^+\mu^-$decays within the standard model and beyond. We use a model independenteffective theory formalism in the presence of vector and axial vector newphysics operators and study the implications of the latest global fit to the $b\to s\,l^+\,l^-$ data on various observables for the $B_c \to(D_s,\,D^{\ast}_s)\mu^+\mu^-$ decays. We give predictions on severalobservables such as the differential branching ratio, ratio of branchingratios, forward backward asymmetry, and the longitudinal polarization fractionof the $D^{\ast}_s$ meson within standard model and within various new physicsscenarios. These results can be tested at the Large Hadron Collider and, inprinciple, can provide complimentary information regarding new physics in $b\to s\,l^+\,l^-$ neutral current decays.

Model independent analysis of New Physics effects on $B_c \to (D_s,\,D^{\ast}_s)\,\mu^+\mu^-$ decay observables