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<p>This study investigates the decay modes of the <i>B</i><sub><i>c</i></sub> meson, focusing on semileptonic and nonleptonic decay into S and P wave charmonia. The primary objective is to extract the shape parameter of the <i>B</i><sub><i>c</i></sub> meson distribution amplitude through a data-driven approach, utilizing the lattice results on <i>B</i><sub><i>c</i></sub> → <i>η</i><sub><i>c</i></sub>, <i>J</i>/<i>ψ</i> semileptonic form factors and yielding an estimate of <i>ω</i><sub><i>Bc</i></sub> = 0.998(34) GeV for the same. We use the form factors derived from the modified perturbative QCD framework in the analysis. This result and various other inputs on the radiative decays of the P wave charmonia enable us to estimate the <i>q</i><sup>2</sup> shapes of the <i>B</i><sub><i>c</i></sub> → <i>χ</i><sub><i>c</i>0</sub>, <i>χ</i><sub><i>c</i>1</sub> and <i>h</i><sub><i>c</i></sub> form factors using pole expansion parametrization. Using these results, we have obtained predictions of LFUV observables <i>R</i>(<i>χ</i><sub><i>c</i>0</sub>) = 0.169(11), <i>R</i>(<i>χ</i><sub><i>c</i>1</sub>) = 0.126(2) and <i>R</i>(<i>h</i><sub><i>c</i></sub>) = 0.113(3). Finally, we have presented predictions for branching ratios of some nonleptonic decay modes of the <i>B</i><sub><i>c</i></sub> meson into S and P wave charmonia in the same modified perturbative QCD framework.</p>

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Correlated study on some Bc → P and Bc → S wave channels in light of new inputs

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  • 发表日期：

    2025年7月11日

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  • Utsab Dey,
  • Soumitra Nandi

摘要

This study investigates the decay modes of the Bc meson, focusing on semileptonic and nonleptonic decay into S and P wave charmonia. The primary objective is to extract the shape parameter of the Bc meson distribution amplitude through a data-driven approach, utilizing the lattice results on Bc → ηc, J/ψ semileptonic form factors and yielding an estimate of ωBc = 0.998(34) GeV for the same. We use the form factors derived from the modified perturbative QCD framework in the analysis. This result and various other inputs on the radiative decays of the P wave charmonia enable us to estimate the q2 shapes of the Bc → χc0, χc1 and hc form factors using pole expansion parametrization. Using these results, we have obtained predictions of LFUV observables R(χc0) = 0.169(11), R(χc1) = 0.126(2) and R(hc) = 0.113(3). Finally, we have presented predictions for branching ratios of some nonleptonic decay modes of the Bc meson into S and P wave charmonia in the same modified perturbative QCD framework.