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Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the Upsilon(1S) meson
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Charm-quark mass effects in NRQCD matching coefficients and the leptonic decay of the Upsilon(1S) meson
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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 $\Upsilon(1S)$ decay width into an electron or muon pair. We complement the next-to-next-to-next-to-leading order corrections of Ref. arXiv:1401.3005 by charm quark mass effects up to second order in perturbation theory. Furthermore, we apply the formalism to $\Gamma(J/\Psi\to \ell^+\ell^-)$ and compare to the experimental data.
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