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

Abstract

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 ${\Phi }_{\pm |n}$ by Kawamura et al. (Phys. Lett. B \bf{523} (2001) 111).

arXiv comment24 pages

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Cited by in corpus (8)

• Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy meson
• Precision calculations of $B_{d,s}\to \pi ,K$ decay form factors in soft-collinear effective theory
• Twist-2 Pseudoscalar and Vector Meson Distribution Amplitudes in Light-Front Quark Model with Exponential-type Confining Potential
• Operator product expansion for B-meson distribution amplitude and dimension-5 HQET operators
• Renormalisation of heavy-light light ray operators
• Heavy and light meson wavefunctions
• Three-particle contributions to the renormalisation of B-meson light-cone distribution amplitudes
• Evolution equation for the B-meson distribution amplitude in the heavy-quark effective theory in coordinate space