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arXiv 1301.3532hep-ph
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胶子碎裂成^3S_1夸克偶素的v^4阶相对论修正

Order-v^4 Relativistic Corrections to Gluon Fragmentation into ^3S_1 Quarkonium

Geoffrey T. Bodwin, U-Rae Kim, Jungil Lee

摘要:

我们利用非相对论性QCD(NRQCD)因式分解方法,计算了色单重态对胶子碎裂为J/psi的相对阶数v^4的相对论性修正。相应的全QCD过程表现出红外发散,表现为4- 2 π维中的单极和双极。我们隔离红外发散的贡献,并对待他们的分析。在全QCD到NRQCD的匹配中,极点贡献被长距离NRQCD矩阵元吸收。长距离NRQCD矩阵元紫外发散的重正化涉及Born和单圈单极反项贡献和Born双极反项贡献。虽然v ^4阶贡献大大提高了色单重态通道的J/psi强子产生率,但与色八重态贡献相比,这种贡献在数值上并不重要。我们还发现胶子碎裂函数中的^3P_J色八重态通道对J/psi强子产生的贡献比α_s次主导阶在该通道中的完全贡献大得多。

英文摘要:

We compute the relativistic corrections to the color-singlet contribution to gluon fragmentation into a J/psi at relative order v^4, making use of the nonrelativistic QCD (NRQCD) factorization approach. The corresponding full-QCD process exhibits infrared divergences that manifest themselves as single and double poles in epsilon in 4-2epsilon dimensions. We isolate the infrared-divergent contributions and treat them analytically. In the matching of full QCD to NRQCD, the pole contributions are absorbed into long-distance NRQCD matrix elements. The renormalizations of the ultraviolet divergences of the long-distance NRQCD matrix elements involve Born and one-loop single-pole counterterm contributions and Born double-pole counterterm contributions. While the order-v^4 contribution enhances the J/psi hadroproduction rate for the color-singlet channel substantially, this contribution is not important numerically in comparison with the color-octet contributions. We also find that the ^3P_J color-octet channel in the gluon fragmentation function contributes to J/psi hadroproduction significantly in comparison with the complete contribution of next-to-leading order in alpha_s in that channel.

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