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B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist
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B-Meson Distribution Amplitudes of Geometric Twist vs. Dynamical Twist
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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.
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Cited by 1 Pith paper
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Three-particle di-light-cone distribution amplitudes of the $B$-meson in heavy-quark effective theory
The authors identify eight independent three-particle DLCDAs of the B-meson, perform their complete Lorentz decomposition in definite-twist basis, obtain tree-level relations for integrals and moments from operator id...
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