Abstract
We study the wave functions and purely leptonic decays of $b$-flavored mesons (pseudoscalars, vector mesons, and higher excited states that are well established in experiment) in the relativistic potential model based on our previous works. The wave functions are obtained by solving the wave equation including the spin-spin and spin-orbit corrections in the effective potential. The decay constants of $B$, $B^*$ and some of their excited states that have been found in experiment are calculated with these wave functions. Then the branching fractions of the purely leptonic decay modes of these bottom mesons are studied. Our results are in well agreement with experiment data for decay modes that have been measured in experiments. We also provide predictions for some yet unmeasured channels, which are useful for experimental test in the future.
Highlights
The ATLAS Collaboration updated the branching ratios of BðBs → μþμ−Þ 1⁄4 ð2.8þ−00..78Þ × 10−9 and BðBd → μþμ−Þ < 2.1 × 10−10 with larger collision data samples [1] at the 95% confidence level
Compared with our previous work [6], where only decay constants of pseudoscalar B and Bs mesons are considered, here we extend our earlier work by including the decay constants and pure leptonic decays of vector and higher excited states of bottom mesons
II, we briefly present the theoretical framework for the relativistic potential model, given the solved wave function for the bottom mesons
Summary
The ATLAS Collaboration updated the branching ratios of BðBs → μþμ−Þ 1⁄4 ð2.8þ−00..78Þ × 10−9 and BðBd → μþμ−Þ < 2.1 × 10−10 with larger collision data samples [1] at the 95% confidence level The former decay channel imposes severe constraints on theoretical study, especially for physics beyond the Standard Model (BSM) [2,3]. The purely leptonic decays with a final lepton-neutrino pair or lepton-lepton pair are considered as rare decays, which have relatively simpler physics than hadronic decays. Their decay rates are connected straightforwardly with the Cabibbo-Kobayashi-Maskawa (CKM) matrix elements [4,5] and the bound-state properties of the bottom meson.
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