Abstract
Motivated by the anomalies present in $b \to s\,l^+\,l^-$ neutral current decays, 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 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 $B_c \to (D_s,\,D^{\ast}_s)\mu^+\mu^-$ 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 $D^{\ast}_s$ meson within standard model and within various new physics scenarios. These results can be tested at the Large Hadron Collider and, in principle, can provide complimentary information regarding new physics in $b \to s\,l^+\,l^-$ neutral current decays.
Highlights
Standard model (SM) of particle physics is successful in explaining various experimental observations, it, cannot accommodate several longstanding issues such as dark matter, dark energy, neutrino mass, matter antimatter asymmetry in the universe etc
The line corresponds to the central values of all the input parameters, whereas, the band corresponds to the uncertainties associated with the Cabibbo Kobayashi Maskawa (CKM) matrix element and the form factor inputs
Motivated by the anomalies present in B → ðK; KÃÞμþμ− decays, we have analyzed Bc → ðDs; DÃsÞμþμ− decays mediated via b → slþl− neutral current transitions using the Bc → ðDs; DÃsÞ transition form factors obtained in the relativistic quark model
Summary
Standard model (SM) of particle physics is successful in explaining various experimental observations, it, cannot accommodate several longstanding issues such as dark matter, dark energy, neutrino mass, matter antimatter asymmetry in the universe etc. The deviation with the SM prediction stands at around 3.7σ If it persists and is confirmed by future experiments, it could unravel new flavor structure beyond the SM physics. There are various similar decay channels with same underlying quark level transition and the LFU violation can be explored in these decay modes as well In this context, B → KÃ2μþμ− and B → K1μþμ− decay modes have been analyzed very recently in Ref. Detection and measurement of various observables pertaining to Bc meson decaying to other mesons via b → slþl− neutral current interactions will be feasible once more and more data will be accumulated by LHCb. It is worth mentioning that the study of such modes is complimentary to the study of B → ðK; KÃÞμþμ− decays and it can, in principle, provide useful information regarding different NP Lorentz structures.
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