Renormalization group improved pQCD prediction for Υ(1S) leptonic decay

Shen, Jian-Ming; Wu, Xing-Gang; Ma, Hong-Hao; Bi, Huan-Yu; Wang, Sheng-Quan

doi:10.1007/JHEP06(2015)169

Renormalization group improved pQCD prediction for Υ(1S) leptonic decay

Jan 19, 2015

6 pages

Published in:

JHEP 06 (2015) 169

Published: Jun 24, 2015

e-Print:

1501.04688 [hep-ph]

DOI:

10.1007/JHEP06(2015)169

View in:

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Abstract: (Springer)

The complete next-to-next-to-next-to-leading order short-distance and bound-state QCD corrections to Υ(1S) leptonic decay rate Γ(Υ(1S) → ℓ

^{+}

ℓ

^{−}

) has been finished by Beneke et al. [8]. Based on those improvements, we present a renormalization group (RG) improved pQCD prediction for Γ(Υ(1S) → ℓ

^{+}

ℓ

^{−}

) by applying the principle of maximum conformality (PMC). The PMC is based on RG-invariance and is designed to solve the pQCD renormalization scheme and scale ambiguities. After applying the PMC, all known-type of β-terms at all orders, which are controlled by the RG-equation, are resummed to determine optimal renormalization scale for its strong running coupling at each order. We then achieve a more convergent pQCD series, a scheme- independent and more accurate pQCD prediction for Υ(1S) leptonic decay, i.e.

\varGamma {\left.{}_{Y(1S)\to {\mathrm{e}}^{+}{\mathrm{e}}^{-}}\right|}_{\mathrm{PMC}}=1.27{0}_{-0.187}^{+0.137}

keV, where the uncertainty is the squared average of the mentioned pQCD errors. This RG-improved pQCD prediction agrees with the experimental measurement within errors.

Note:

11 pages, 4 figures. Numerical results and discussions improved, references updated, to be published in JHEP

QCD Phenomenology
NLO Computations
quantum chromodynamics: perturbation theory: higher-order
quantum chromodynamics: nonrelativistic
quantum chromodynamics: bound state
quantum chromodynamics: correction
correction: higher-order
higher-order: 3
renormalization group
Upsilon(9460): leptonic decay

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Figures(3)

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