B-meson distribution amplitudes of geometric twist versus dynamical twist

Journal Article · Mon Aug 01 04:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.72.034023· OSTI ID:20711231

Geyer, Bodo; Witzel, Oliver ^[1]

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1. Universitaet Leipzig, Institut fuer Theoretische Physik, Augustusplatz 10, 04109 Leipzig (Germany)

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 resummed to the nonlocal distribution amplitudes. Furthermore, a parametrization of vacuum-to-meson matrix elements for nonlocal operators off the light cone in terms of distribution amplitudes accompanying independent kinematical structures is derived.

• OSTI ID: 20711231
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 72; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
B MESONS
B QUARKS
C QUARKS
DISTRIBUTION
LIGHT CONE
MATRIX ELEMENTS
SUM RULES
T QUARKS
VACUUM STATES