Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-02-27
Phys.Rev. D72 (2005) 034023
Physics
High Energy Physics
High Energy Physics - Phenomenology
18 pages, Latex 2e, no figures
Scientific paper
10.1103/PhysRevD.72.034023
Two- and three-particle distribution amplitudes of heavy pseudoscalar mesons of well-defined geometric twist are introduced. They are obtained from appropriately parametrized vacuum-to-meson matrix elements by applying those twist projectors which determine the enclosed light-cone operators of definite geometric twist and, in addition, observing the heavy quark constraint. Comparing these distribution amplitudes with the conventional ones of dynamical twist we derive relations between them, partially being of Wandzura-Wilczek type; also sum rules of Burkhardt-Cottingham type are derived.The derivation is performed for the (double) Mellin moments and then re-summed to the non-local distribution amplitudes. Furthermore, a parametrization of vacuum-to-meson matrix elements for non-local operators off the light-cone in terms of distribution amplitudes accompanying independent kinematical structures is derived.
Geyer Bodo
Witzel Oliver
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