Analyzing the semileptonic and nonleptonic B c → J/ψ, η c decays
Abstract This study focuses on the decay of the B c meson to S-wave charmonia. Starting with lattice inputs on B c → J/ψ form factors, we have obtained the B c → η c form factors using heavy quark spin symmetry (HQSS) relations between the associated form factors after parametrizing and extracting t...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)198 |
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| Summary: | Abstract This study focuses on the decay of the B c meson to S-wave charmonia. Starting with lattice inputs on B c → J/ψ form factors, we have obtained the B c → η c form factors using heavy quark spin symmetry (HQSS) relations between the associated form factors after parametrizing and extracting the possible symmetry breaking corrections. Using the q 2 shapes of these form factors, we have computed the branching fractions B $$ \mathcal{B} $$ ( B c − $$ {B}_c^{-} $$ → η c ℓ − ν ¯ $$ \overline{\nu} $$ ) (with ℓ = τ, μ(e)) and the decay rate distributions and have predicted the Standard model estimate for the observable R(η c ) = Γ( B c − $$ {B}_c^{-} $$ → η c τ − ν ¯ $$ \overline{\nu} $$ )/Γ( B c − $$ {B}_c^{-} $$ → η c μ − ν ¯ $$ \overline{\nu} $$ ) = 0.310 ± 0.042. In addition, we have estimated the radial wave functions ψ B c R $$ {\psi}_{B_c}^R $$ (0), ψ J / ψ R $$ {\psi}_{J/\psi}^R $$ (0) and ψ η c R $$ {\psi}_{\eta_c}^R $$ (0) at small Bc J/ψ ηc quark-antiquark distances from the available information on the form factors from lattice, the lattice inputs on the decay constants f J/ψ , f η c $$ {f}_{\eta_c} $$ , f B c $$ {f}_{B_c} $$ and experimental data on radiative and rare decays of the J/ψ and η c mesons. To do so, we choose the theory framework of non-relativistic QCD (NRQCD) effective theory. Using our results, we have predicted the branching fractions of a few non-leptonic decays of B c → J/ψ or η c and other light mesons. We have also updated the numerical estimates of the cross sections σ(e + e − → J/ψη c , η c γ) and predicted the branching fractions of Z boson decays to either J/ψ or η c final states or both. |
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| ISSN: | 1029-8479 |