Angular analysis of $B_s\to f_2^{\prime }(1525)(\to K^{+}{K}^{-}){\mu }^{+}{\mu }^{-}$ decays as a probe to lepton flavor universality violation

Abstract

The flavor anomalies reported in $R_K$, $R_{K^{\ast }}$, $P_5^{\prime }$ and $\mathcal{B}(B_s\to \varphi {\mu }^{+}{\mu }^{-})$ indicate lepton flavor universality violation in $b\to s{l}^{+}{l}^{-}$ quark level transition decays. The deviation from the SM prediction reported in the underlying flavor observables currently stand at the level of $2.5\sigma$, $2.4\sigma$, $3.3\sigma$ and $3.7\sigma$, respectively. In this context, we perform an angular analysis of the four-body differential decay of $B_s\to f_2^{\prime }(1525)(\to K^{+}{K}^{-}){\mu }^{+}{\mu }^{-}$ in a model independent effective field theory framework. The decay mode $B_s\to f_2^{\prime }(1525)l^{+}{l}^{-}$ undergoes similar $b\to s$ neutral current quark level transition and, in principle, can provide complementary information regarding lepton flavor universality violation in $b\to s{l}^{+}{l}^{-}$ quark level transition decays. We give predictions of various physical observables such as the branching ratio, the longitudinal polarization fraction, the forward-backward asymmetry, the angular observables $P_1$, $P_2$, $P_4^{\prime }$, $P_5^{\prime }$ and also the lepton flavor sensitive observables such as the ratio of branching ratio $R_{f_2^{\prime }}$, $Q_{F_L}$, $Q_{A_{FB}}$, $Q_1$, $Q_2$, $Q_4^{\prime }$, $Q_5^{\prime }$ for $B_s\to f_2^{\prime }(1525)(\to K^{+}{K}^{-}){\mu }^{+}{\mu }^{-}$ decays in the standard model and in the presence of several 1D and 2D new physics scenarios.

arXiv comment25 pages, 7 figures, additional details updated

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• Branching fraction measurements of the rare $B_s^0\to \varphi {\mu }^{+}{\mu }^{-}$ and $B_s^0\to f_2^{\prime }(1525){\mu }^{+}{\mu }^{-}$ decays
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• 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
• Implications for the $\Delta A_{FB}$ anomaly in ${\bar{B}}^0\to D^{\ast +}{\ell }^{-}\bar{\nu }$ using a new Monte Carlo Event Generator
• Implications of light $Z^{\prime }$ on semileptonic $B(B_s)\to T\{K_2^{\ast }(1430)$ $(f_2^{\prime }(1525))\}{\ell }^{+}{\ell }^{-}$ decays at large recoil
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