Model-independent bounds on R(J/ψ)

High Energy Physics - Phenomenology High Energy Physics - Lattice Nuclear Theory Nuclear and particle physics. Atomic energy. Radioactivity 0103 physical sciences Heavy Quark Physics Lattice QCD QC770-798 01 natural sciences Quark Masses and SM Parameters High Energy Physics - Experiment
DOI: 10.1007/jhep09(2018)168 Publication Date: 2018-09-29T05:26:41Z
ABSTRACT
Abstract We present a model-independent bound on $$ R\left(J/\psi \right)\equiv \mathrm{\mathcal{B}}\mathrm{\mathcal{R}}\left({B}_C^{+}\to J/\psi {\tau}^{+}{\nu}_{\tau}\right)/\mathrm{\mathcal{B}}\mathrm{\mathcal{R}}\left({B}_C^{+}\to J/\psi {\mu}^{+}{\nu}_{\mu}\right) $$ R J / ψ ≡ ℬ ℛ B C + → J / ψ τ + ν τ / ℬ ℛ B C + → J / ψ µ + ν µ . 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 ≤ R(J/ψ) ≤ 0.39, agrees with the recent LHCb result at 1.3σ, and rules out some previously suggested model form factors.
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