Method of Analytic Evolution of Flat Distribution Amplitudes in QCD

Conference · Tue Nov 01 04:00:00 EDT 2011 · Int. J. Mod. Phys. Conf. Ser.

DOI:https://doi.org/10.1142/S2010194511001723· OSTI ID:1045827

A new analytical method of performing ERBL evolution is described. The main goal is to develop an approach that works for distribution amplitudes that do not vanish at the end points, for which the standard method of expansion in Gegenbauer polynomials is inefficient. Two cases of the initial DA are considered: a purely flat DA, given by the same constant for all x, and an antisymmetric DA given by opposite constants for x < 1/2 or x > 1/2. For a purely flat DA, the evolution is governed by an overall (x (1-x)){sup t} dependence on the evolution parameter t times a factor that was calculated as an expansion in t. For an antisymmetric flat DA, an extra overall factor |1-2x|{sup 2t} appears due to a jump at x = 1/2. A good convergence was observed in the t {approx}< 1/2 region. For larger t, one can use the standard method of the Gegenbauer expansion.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1045827
• Report Number(s): JLAB-THY-11-1433; DOE/OR/23177-1832; arXiv:1109.2531
• Conference Information: Journal Name: Int. J. Mod. Phys. Conf. Ser. Journal Issue: 01 Journal Volume: 04
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
CONVERGENCE
DISTRIBUTION
POLYNOMIALS
QUANTUM CHROMODYNAMICS