Abstract
The flavor anomalies reported in $R_K$, $R_{K^*}$, $P_{5}^{\prime}$ and $\mathcal{B}(B_s\, \to\, \phi\, \mu^+\, \mu^-)$ 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.
Highlights
Exploring and identifying the Lorentz structure of possible new physics (NP) that lies beyond the standard model (SM) is of great importance, in semileptonic B meson decays mediated via b → slþl− neutral current and b → clν charged current interactions
We report here all the relevant input parameters that are used in our numerical analysis
The form factor input parameters evaluated in the perterbative quantum chromodynamics (pQCD) approach are reported in Table IV where Fð0Þ denote
Summary
Exploring and identifying the Lorentz structure of possible new physics (NP) that lies beyond the standard model (SM) is of great importance, in semileptonic B meson decays mediated via b → slþl− neutral current and b → clν charged current interactions. After the Rencontres de Moriond (2019), the current status of several observables pertaining to b → slþl− quark level transition decays is as follows: the measurement of RK from the combined data of both Run 1 and Run 2 of the LHCb Collaboration reports RK 1⁄4 0.846−þ00..005640ðstatÞþ−00..001146 ðsystÞ [1] in the central q2 region (1 ≤ q2 ≤ 6 GeV2), where q2 is the invariant mass-squared of the dilepton. F02ð1525Þ is the best option after φð1020Þ [28] This decay in the muonic mode can be observed with the currently available data and we expect around 200 events for this mode. The currently available data is statistically limited for performing angular analysis; the branching fraction measurement is only possible claiming the first observation of this decay in muonic mode.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have