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
AUTHORS (3)
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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