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

Abstract

Motivated by the anomalies present in $b\to s{l}^{+}{l}^{-}$ neutral current decays, we study the corresponding $B_c\to (D_s,D_s^{\ast }){\mu }^{+}{\mu }^{-}$ 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 $B_c\to (D_s,D_s^{\ast }){\mu }^{+}{\mu }^{-}$ 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 $D_s^{\ast }$ 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.

14 pages, 3 figures

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Cited by in corpus (15)

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• Consequences of $b\to s{\mu }^{+}{\mu }^{-}$ anomalies on $B\to K^{(\ast )}\nu \bar{\nu }$, $B_s\to (\eta ,{\eta }^{\prime })\nu \bar{\nu }$ and $B_s\to \varphi \nu \bar{\nu }$ decay observables
• Implication of $b\to c\tau \nu$ flavor anomalies on $B_s\to D_s^{\ast }\tau \nu$ decay observables
• New physics footprints in the angular distribution of $B_s\to D_s^{\ast }(\to D_s\gamma ,D_s\pi )\tau \nu$ decays
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• Footprints of New Physics in the angular distribution of $B_c\to D_s^{\ast }(\to D_s\gamma ,(D_s\pi )){\ell }^{+}{\ell }^{-}$ decays
• New Physics in $b\to s\ell \ell$ anomalies and its implications for the complementary neutral current decays
• Investigation of rare semileptonic $B_c$ decays into $(D_{(}s,d{)}^{(}(\ast ))){\mu }^{+}{\mu }^{-}$ decays with non-universal $Z^{\prime }$ effect
• Exploring New Physics in transition $b\to s{\ell }^{+}{\ell }^{-}$ through different $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ observables
• Investigating New Physics through the Observables of Semileptonic $B_s\to K^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ Decay
• Assessing Lepton Flavor Universality Violations in Semileptonic Decays
• Decay $B_c^{+}\to D_{(s)}^{(\ast )+}{\ell }^{+}{\ell }^{-}$ within covariant confined quark model
• Probing new physics effects in ${\Lambda }_b\to \Lambda (\to p{\pi }^{-}){\ell }^{+}{\ell }^{-}$ decay via model independent approach
• Combined analysis of $B_c\to D_s^{(\ast )}{\mu }^{+}{\mu }^{-}$ and $B_c\to D_s^{(\ast )}\nu \bar{\nu }$ decays within $Z^{\prime }$ and leptoquark new physics models
• Weak Annihilation Contribution to Angular Observables in $B_c^{+}\to D^{\ast +}{\ell }^{+}{\ell }^{-}$ Decays