Investigating New Physics through the Observables of Semileptonic $B_s\to K^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ Decay

Abstract

The rare four-fold decay $B_s\to K^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$, governed by the flavor-changing neutral current transition $b\to d{\mu }^{+}{\mu }^{-}$, provides a sensitive probe for testing the Standard Model (SM) and investigating signatures of new physics (NP). This work presents a comprehensive model-independent analysis of the decay using the framework of the weak effective field theory. We compute a set of key physical observables, including the differential branching ratio, forward-backward asymmetry, longitudinal polarization fraction, and several normalized angular coefficients $⟨I_i⟩$, as a function of the dilepton invariant mass squared $q^2$. The impact of NP is explored via both one-dimensional (1D) and two-dimensional (2D) scenarios involving NP Wilson coefficients $C_7^{\text{NP}}$, $C_9^{(\prime )\text{NP}}$, and $C_{10}^{(\prime )\text{NP}}$. Our findings reveal notable deviations from the SM predictions across multiple observables. Furthermore, we analyze the correlations between different observables and their 2D contour plots which would be useful to further constrain the parametric space of possible NP contributions. This study reinforces the potential of $B_s\to K^{\ast }{\mu }^{+}{\mu }^{-}$ decay as a complementary channel in the search for physics beyond the SM.

30 pages, 13 figures; accepted by Progress of Theoretical and Experimental Physics (PTEP)

References in corpus (23)

• Test of lepton universality in beauty-quark decays
• Hint of Lepton Flavour Non-Universality in $B$ Meson Decays
• Test of lepton universality in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• Tests of lepton universality using $B^0\to K_S^0{\ell }^{+}{\ell }^{-}$ and $B^{+}\to K^{\ast +}{\ell }^{+}{\ell }^{-}$ decays
• $B$ Flavour Anomalies: 2021 Theoretical Status Report
• Analytic calculation of two-loop QCD corrections to b\to s\ell^+\ell^- in the high q^2 region
• Search for $B^{+}\to K^{+}\nu \bar{\nu }$ decays using an inclusive tagging method at Belle II
• Extracting Angular Observables without a Likelihood and Applications to Rare Decays
• Implications of $b\to s\mu \mu$ Anomalies for Future Measurements of $B\to K^{(\ast )}\nu \bar{\nu }$ and $K\to \pi \nu \bar{\nu }$
• The rare decays $B_u^{+}\to {\pi }^{+}{\ell }^{+}{\ell }^{-}$, ${\rho }^{+}{\ell }^{+}{\ell }^{-}$ and $B_d^0\to {\ell }^{+}{\ell }^{-}$ in the R-parity violating supersymmetry
• Model-independent analysis of $b\to d$ processes
• Search for $B\to \pi {\ell }^{+}{\ell }^{-}$ Decays at Belle
• Angular analysis of $B_s\to f_2^{\prime }(1525)(\to K^{+}{K}^{-}){\mu }^{+}{\mu }^{-}$ decays as a probe to lepton flavor universality violation
• Probing $R$-parity violation in $B$-meson decays to a baryon and a light neutralino
• $B\to K_2^{\ast }(1430){\ell }^{+}{\ell }^{-}$ distributions in Standard Model at large recoil
• Predictions for $B_s\to {\bar{K}}^{\ast }\ell \ell$ in non-universal $Z^{\prime }$ models
• Method for an unbinned measurement of the $q^2$ dependent decay amplitudes of ${\bar{B}}^0\to {\bar{K}}^{\ast 0}{\mu }^{+}{\mu }^{-}$ decays
• Study of the $b\to d\ell \ell$ transitions in the Standard Model and test of New Physics sensitivities
• 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
• Angular distribution of the FCNC process $B_c\to D_s^{\ast }(\to D_s\pi ){\ell }^{+}{\ell }^{-}$
• 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
• Search for Rare $b\to d{\ell }^{+}{\ell }^{-}$ Transitions at Belle
• Exploring New Physics in transition $b\to s{\ell }^{+}{\ell }^{-}$ through different $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ observables

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