New results on pionic twist-3 distribution amplitudes within the QCD sum rules

Journal Article · Tue Feb 01 04:00:00 EST 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.036002· OSTI ID:21504927

Tao, Zhong; Xinggang, Wu; Jiawei, Zhang; Yunqing, Tang; Zhenyun, Fang ^[1]

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1. Department of Physics, Chongqing University, Chongqing 400044 (China)

We present an improved calculation on the pionic twist-3 distribution amplitudes {phi}{sub p}{sup {pi}} and {phi}{sub {sigma}}{sup {pi}}, which are studied within the QCD sum rules. By adding all the uncertainties in quadrature, it is found that <{xi}{sub p}{sup 2}>=0.248{sub -0.052}{sup +0.076}, <{xi}{sub p}{sup 4}>=0.262{sub -0.055}{sup +0.080}, <{xi}{sub {sigma}}{sup 2}>=0.102{sub -0.025}{sup +0.035} and <{xi}{sub {sigma}}{sup 4}>=0.094{sub -0.020}{sup +0.028}. Furthermore, with the help of these moments, we construct a model for the twist-3 wave functions {psi}{sub p,{sigma}}{sup {pi}}(x,k{sub perpendicular}), which have better end point behavior and are helpful for perturbative QCD approach. The obtained twist-3 distribution amplitudes are adopted to calculate the B{yields}{pi} transition form factor f{sub B{pi}}{sup +} within the QCD light cone sum rules up to next-to-leading order. By suitable choice of the parameters, we obtain a consistent f{sub B{pi}}{sup +} with those obtained in the literature.

• OSTI ID: 21504927
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 3 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AMPLITUDES
COMPUTERIZED SIMULATION
DIMENSIONLESS NUMBERS
DISTRIBUTION
EQUATIONS
FIELD THEORIES
FORM FACTORS
FUNCTIONS
LIGHT CONE
PARTICLE PROPERTIES
QUADRATURES
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SIMULATION
SPACE-TIME
SUM RULES
WAVE FUNCTIONS