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arXiv 0909.4090hep-ph
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超出主导扭曲的排他性过程的QCD因子分解:gamma*T ->扭曲三精度的rhoT影响因子

QCD factorization of exclusive processes beyond leading twist: gamma*T -> rhoT impact factor with twist three accuracy

I. V. Anikin, D. Yu. Ivanov, B. Pire, L. Szymanowski, S. Wallon

摘要:

我们描述了一个一致的方法因式分解的散射振幅的独家过程超出了领先的扭曲近似。该方法涉及的散射振幅的泰勒展开的动量空间周围的主导光锥方向,从而自然地引入了一组适当的非微扰的调制器,其编码的效果不仅最低,而且更高的福克态的所产生的粒子。利用运动方程和光锥上旋转散射振幅的不变性,将原散射子组化为一组独立的散射子组。我们比较了所提出的方法与协变方法制定的坐标空间,基于算子乘积展开。我们证明了两个建议的参数化的rhoT分布振幅的等价性。作为一个具体应用,我们用这两种完全不同的方法计算了虚光子到横极化ρ介子跃迁的影响因子的表达式,并证明了它们是一致的。

英文摘要:

We describe a consistent approach to factorization of scattering amplitudes for exclusive processes beyond the leading twist approximation. The method involves the Taylor expansion of the scattering amplitude in the momentum space around the dominant light-cone direction and thus naturally introduces an appropriate set of non-perturbative correlators which encode effects not only of the lowest but also of the higher Fock states of the produced particle. The reduction of original set of correlators to a set of independent ones is achieved with the help of equations of motion and invariance of the scattering amplitude under rotation on the light-cone. We compare the proposed method with the covariant method formulated in the coordinate space, based on the operator product expansion. We prove the equivalence of two proposed parametrizations of the rhoT distribution amplitudes. As a concrete application, we compute the expressions of the impact factor for the transition of virtual photon to transversally polarised rho-meson up to the twist 3 accuracy within these two quite differents methods and show that they are identical.

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