Color-singlet relativistic correction to inclusive J/{psi} production associated with light hadrons at B factories

Journal Article · Sun Aug 01 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.034017· OSTI ID:21432857

Jia, Yu ^[1]

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1. Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China, Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, Beijing 100049, (China)

We study the first-order relativistic correction to the associated production of J/{psi} with light hadrons at B factory experiments at {radical}(s)=10.58 GeV, in the context of nonrelativistic QCD (NRQCD) factorization. We employ a strategy for NRQCD expansion that slightly deviates from the orthodox doctrine, in that the matching coefficients are not truly of a ''short-distance'' nature, but explicitly depend upon physical kinematic variables rather than partonic ones. Our matching method, with validity guaranteed by the Gremm-Kapustin relation, is particularly suited for the inclusive quarkonium production and decay processes with involved kinematics, exemplified by the process e{sup +}e{sup -}{yields}J/{psi}+gg considered in this work. Despite some intrinsic ambiguity affiliated with the order-v{sup 2} NRQCD matrix element, if we choose its value as what has been extracted from a recent Cornell-potential-model-based analysis, including the relative order-v{sup 2} effect is found to increase the lowest-order prediction for the integrated J/{psi} cross section by about 30%, and exert a modest impact on J/{psi} energy, angular and polarization distributions except near the very upper end of the J/{psi} energy. The order-v{sup 2} contribution to the energy spectrum becomes logarithmically divergent at the maximum of J/{psi} energy. A consistent analysis may require that these large end-point logarithms be resummed to all orders in {alpha}{sub s}.

• OSTI ID: 21432857
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 3; Other Information: DOI: 10.1103/PhysRevD.82.034017; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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GEV RANGE 01-10
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