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

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

2009-10-21

arxiv.org/abs/0910.4071v2

Phys.Rev.D81:034028,2010

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1103/PhysRevD.81.034028

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.

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