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arXiv 0809.0219hep-ph
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Hard和Regge过程中QCD耦合的参数化

Parametrization of the QCD coupling in Hard and Regge processes

B. I. Ermolaev, S. I. Troyan

摘要:

我们研究了在硬过程和Regge过程的Bethe-Salpeter方程中QCD耦合的参数化,并确定了因子化胶子的α_s幅角。我们的分析表明,对于硬过程,α_s = α_s(k^2_T/(1-β)),其中k^2_T和β是软部分子的纵、横动量。另一方面,在Regge过程中,alpha_s = alpha_s(k^2_T}/beta)。我们还证明了,只有当对k^2_T(Q^2 -演化的起始点)的最低积分极限μ ^2服从关系μ>> Lambda_{QCD} exp {(π/2)}时,微分方程中众所周知的参数化α_s = α_s(k^2_T)才成立,否则耦合应该用更复杂的表达式来代替。

英文摘要:

We examine the parametrization of the QCD coupling in the Bethe-Salpeter equations for the hard and Regge processes and determine the argument of alpha_s of the factorized gluon. Our analysis shows that for the hard processes alpha_s = alpha_s(k^2_T/(1- beta)) where k^2_T and beta are the longitudinal and transverse moment of the soft parton. On the other hand, in the Regge processes alpha_s = alpha_s(k^2_T}/beta). We have also shown that the well-known parametrization alpha_s = alpha_s(k^2_T) in the DGLAP equations stands only if the lowest integration limit, mu^2, over k^2_T (the starting point of the Q^2 -evolution) obeys the relation mu >> Lambda_{QCD} exp {(π/2)}, otherwise the coupling should be replaced by the more complicated expression.

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