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Model-Independent Bounds on $R(J/\psi)$
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abstract
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 4 Pith papers
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With or without U(2)? Probing non-standard flavor and helicity structures in semileptonic B decays
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$|V_{ub}|$ determination and testing of lepton flavour universality in semileptonic $B_c \rightarrow D^{(\ast)}$ decays
A three-point QCD sum-rule calculation of B_c to D^(*) form factors supports a new |Vub| extraction channel and predicts lepton universality ratios R_c(D^0) = 0.64 +/- 0.05 and R_c(D*) = 0.55 +/- 0.05.
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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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Probing new physics in $B_s \to (K,K^*)\tau \nu$ and $B \to \pi \tau \nu$ decays
Assuming b to u and b to c transitions share the same vector new physics, the paper predicts branching ratios, ratios, asymmetries, and polarizations for B_s to (K,K*) tau nu and B to pi tau nu.
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