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Model-Independent Bounds on R(J/psi)
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Model-Independent Bounds on R(J/psi)
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We present a model-independent bound on $R(J/\psi) \! \equiv \! \mathcal{BR} (B_c^+ \rightarrow J/\psi \, \tau^+\nu_\tau)/ \mathcal{BR} (B_c^+ \rightarrow J/\psi \, \mu^+\nu_\mu)$. This bound is constructed by constraining the form factors through a combination of dispersive relations, heavy-quark relations at zero-recoil, and the limited existing determinations from lattice QCD. The resulting 95\% confidence-level bound, $0.20\leq R(J/\psi)\leq0.39$, agrees with the recent LHCb result at $1.3 \, \sigma$, and rules out some previously suggested model form factors.
Forward citations
Cited by 1 Pith paper
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Precision Study of Semileptonic and Non-Leptonic $B_c$ Decays to $\eta_c$ and P Wave Charmonia
Data-constrained NRQCD form factors yield R(χ_c0)=0.185(3), R(χ_c1)=0.147(26), R(h_c)=0.068(2) and related B_c branching fractions for P-wave charmonia.
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