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arXiv 0705.4357hep-ph
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考虑三粒子分布振幅贡献的确定几何扭曲的重介子分布振幅

Heavy Meson Distribution Amplitudes of Definite Geometric Twist with Contribution of 3-Particle Distribution Amplitudes

B. Geyer, O. Witzel

摘要:

在HQET的约束下,利用离锥结构的知识,将具有一定几何扭曲的重介子分布振幅的运动方程重新表述为一组代数方程。连同方程由于各种狄拉克结构之间的各种关系(套)独立的两个和三个粒子的分布振幅的确定的几何扭曲的推导和提出使用(双)梅林矩和重新求和的非局部分布振幅的概念。解决这些关系的独立的二粒子矩的三粒子双矩,我们证实了表示$Φ_{\pm|n}$由Kawamura等人。B \bf{523}(2001)111)。

英文摘要:

Under the constraints of HQET the equations of motion of heavy meson distribution amplitudes of definite geometric twist, using the knowledge of their off-cone structure, are reformulated as a set of algebraic equations. Together with equations due to various Dirac structures various relations between the (sets of) independent two- and three particle distribution amplitudes of definite geometric twist are derived and presented using both the notion of (double) Mellin moments and re-summed non-local distribution amplitudes. Resolving these relations for the independent two-particle moments in terms of three-particle double moments we confirmed the representation of $Φ_{\pm|n}$ by Kawamura et al. (Phys. Lett. B \bf{523} (2001) 111).

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