Exploring New Physics in transition $b\to s{\ell }^{+}{\ell }^{-}$ through different $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ observables

Abstract

Inspired by the discrepancies observed in the $b\to s{\ell }^{+}{\ell }^{-}$ neutral current decays, we study the decay channel $B_c\to D_s^{(\ast )}{\ell }^{+}{\ell }^{-}$ ($\ell =\mu ,\tau$), which is based on the same flavor changing neutral current (FCNC) transition at the quark level. The current study shows that this decay channel can provide a useful probe for physics beyond the standard model. We use the helicity formalism while employing the effective theory approach where we include the effects of vector and axial vector `new' physics (NP) operators. In this study, we have computed the branching ratio ${\mathcal{B}}_r$, the $D^{\ast }$ helicity fraction $f_L$, the lepton forward-backward asymmetry ${\mathcal{A}}_{FB}$, and the lepton flavor universality ratio (LFU) $R_{D_s^{\ast }}^{\tau \mu }$. In addition, as a complementary check on the LFU, we also calculate the various other LFU observables, $R_i^{\tau \mu }$ where $i=A_{FB}$, $f_L$. We assume that the NP universal coupling is present for both muons and tauons, while the non-universal coupling is only present for muons. Regarding these couplings, we employ the latest global fit to the $b\to s{\ell }^{+}{\ell }^{-}$ data, which is recently computed in arXiv:2304.07330. We give predictions of some of the mentioned observables within the SM and the various NP scenarios. We have found that not only are the considered observables sensitive to NP but are also helpful in distinguishing among the different NP scenarios. These results can be tested at the LHCb, HL-LHC, and FCC-ee, and therefore, a precise measurements of these observables not only deepens our understanding of the $b\to s{\ell }^{+}{\ell }^{-}$ process but also provides a window of opportunity to possibly study various NP scenarios.

29 pages, 12 figures; accepted by Journal of Physics G: Nuclear and Particle Physics

References in corpus (36)

• Test of lepton universality using $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ decays
• Measurement of the Differential Branching Fraction and Forward-Backword Asymmetry for B->K(*)l+l-
• Addressing the LHC flavour anomalies with horizontal gauge symmetries
• $R_K$ and future $b\to s\ell \ell$ BSM opportunities
• Simultaneous Explanation of the $R_K$ and $R(D^{(\ast )})$ Puzzles
• Simultaneous Explanation of the $R_K$ and $R_{D^{(\ast )}}$ Puzzles: a Model Analysis
• 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
• Test of lepton universality in $b\to s{\ell }^{+}{\ell }^{-}$ decays
• Constraints on Lepton Universality Violation from Rare $B$ Decays
• $B_{(s)},D_{(s)}\to \pi ,K,\eta ,\rho ,K^{\ast },\omega ,\varphi$ Transition Form Factors and Decay Rates with Extraction of the CKM parameters $|V_{ub}|$, $|V_{cs}|$, $|V_{cd}|$
• Measurement of lepton universality parameters in $B^{+}\to K^{+}{\ell }^{+}{\ell }^{-}$ and $B^0\to K^{\ast 0}{\ell }^{+}{\ell }^{-}$ decays
• To (b)e or not to (b)e: No electrons at LHCb
• $b\to s\ell \ell$ Global Fits after $R_{K_S}$ and $R_{K^{\ast +}}$
• 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
• Flavor Anomalies in Heavy Quark Decays
• First observation of the decay $B^{+}\to {\pi }^{+}{\mu }^{+}{\mu }^{-}$
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• QED in $\bar{B}\to \bar{K}{\ell }^{+}{\ell }^{-}$ LFU ratios: Theory versus Experiment, a Monte Carlo Study
• Measurement of the $B_c^{-}$ meson production fraction and asymmetry in 7 and 13 TeV $pp$ collisions
• Test of lepton flavor universality in B${}^{\pm }$ $\to$ K${}^{\pm }{\mu }^{+}{\mu }^{-}$ and B${}^{\pm }$ $\to$ K${}^{\pm }$e${}^{+}$e${}^{-}$ decays in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• $B\to D\ell {\nu }_{\ell }$ form factors beyond leading power and extraction of $|V_{cb}|$ and $R(D)$
• Analysis of the Rare $B_c\to D_{s,d}^{\ast }{l}^{+}{l}^{-}$ Decays in QCD
• New physics in $B\to K^{\ast }{\tau }^{+}{\tau }^{-}$: A model independent analysis
• Coup de grace to the charged Higgs solution of $P_5^{\prime }$ and $R_{D^{(\ast )}}$ discrepancies
• Search for the decay $B^0\to K^{\ast 0}{\tau }^{+}{\tau }^{-}$ at the Belle experiment
• Search for the Rare Decay B0_s -> phi mu^+ mu- with the D0 Detector
• Looking for $B\to X_s{\ell }^{+}{\ell }^{-}$ in non-minimal Universal Extra Dimensional model
• $B\to K_2^{\ast }(1430){\ell }^{+}{\ell }^{-}$ distributions in Standard Model at large recoil
• 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
• Re-examination of the rare decay $B_s\to \varphi {\mu }^{+}{\mu }^{-}$ using holographic light-front QCD
• Study of Bc-> D_s^* \ell^+ \ell^- in Single Universal Extra Dimension
• Search for Rare $b\to d{\ell }^{+}{\ell }^{-}$ Transitions at Belle
• Decay $B_c^{+}\to D_{(s)}^{(\ast )+}{\ell }^{+}{\ell }^{-}$ within covariant confined quark model

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• Investigating New Physics through the Observables of Semileptonic $B_s\to K^{\ast }(\to K\pi ){\mu }^{+}{\mu }^{-}$ Decay
• Real and Complex Singlet-Scalar Benchmarks with a Vector-Like Down Quark for $B\to X_s\gamma$ and $B_s-{\bar{B}}_s$ Mixing
• The effects of polarization on the observables in the decay ${\Xi }_{cc}^{++}\to {\Xi }_c^{+}\bar{\ell }{\nu }_{\ell }$
• Weak Annihilation Contribution to Angular Observables in $B_c^{+}\to D^{\ast +}{\ell }^{+}{\ell }^{-}$ Decays