We compute two-loop corrections to the vector current matching coefficient involving two heavy quark masses. The result is applied to the computation of the Υ(1S) decay width into an electron or muon pair. We complement the next-to-next-to-next-to-leading order corrections of M. Beneke, et al. [Phys. Rev. Lett. 112, 151801 (2014)] by charm quark mass effects up to second order in perturbation theory. Furthermore, we apply the formalism to Γ(J/Ψ→ℓ+ℓ−) and compare to the experimental data.
Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the Upsilon(1S) meson
Fael M;
2021
Abstract
We compute two-loop corrections to the vector current matching coefficient involving two heavy quark masses. The result is applied to the computation of the Υ(1S) decay width into an electron or muon pair. We complement the next-to-next-to-next-to-leading order corrections of M. Beneke, et al. [Phys. Rev. Lett. 112, 151801 (2014)] by charm quark mass effects up to second order in perturbation theory. Furthermore, we apply the formalism to Γ(J/Ψ→ℓ+ℓ−) and compare to the experimental data.
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