Higher Order Corrections to the Cross Section of e+e- to Quarkonium plus gamma

Abstract

The production cross sections of $e^{+}{e}^{-}$ to a heavy quarkonium with $C$-parity even $S-$wave and $P-$wave associated with a photon are analyzed in the framework of non-relativistic Quantum Chromodynamics(NRQCD) factorization formalism. The short-distance coefficients are determined up to the next-to-leading order(NLO) QCD radiative corrections for $S-$ and $P-$wave and NLO relativistic corrections for $S-$wave in analytical forms. Applying the results to estimate the cross sections we find that both the radiative and relativistic corrections are considerable.

26 pages, 2 figures, 2 tables, one reference added. To be published in PRD

References in corpus (8)

• Scalar one-loop integrals for QCD
• Improved determination of color-singlet nonrelativistic QCD matrix elements for S-wave charmonium
• Potential-model calculation of an order-v^2 NRQCD matrix element
• Refactorizing NRQCD short-distance coefficients in exclusive quarkonium production
• Exclusive heavy quarkonium + gamma production from e+ e- annihilation into a virtual photon
• Search for $C=+$ charmonium and bottomonium states in $e^{+}{e}^{-}\to \gamma +X$ at B factories
• Order-alpha_s corrections to the quarkonium electromagnetic current at all orders in the heavy-quark velocity
• ${\rm Y}$ decay to two-charm quark jets as a Probe of the Color Octet Mechanism

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