skip to main content

Title: Studies of Analytic Evolution of Two-Photon Generalized Distribution Amplitude in QCD

We extend our method of analytic ERBL evolution for the case of distribution amplitudes that have jumps at some points x = {zeta}{sub I} inside the support region 0 < x < 1. As an application of the method, we use it for evolution of the two-photon generalized distribution amplitude. Our approach has advantages over the standard method of expansion in Gegenbauer polynomials, which requires infinite number of terms in order to accuretly reproduce functions in the vicinity of singular points, and over the method of straightforward iteration of initial distribution with evolution kernel which produces logarithmically divergent terms at each iteration. In our method, the logarithmic singularities are summed from the start, which immediately produces a continuous curve, with only one or two iterations needed afterwards in order to get precise results.
Authors:
 [1] ;  [1]
  1. Old Dominion Univ., Norfolk, VA and JLAB, Newport News, VA (United States)
Publication Date:
OSTI Identifier:
1116346
Report Number(s):
JLAB-THY--13-1805; DOE/OR--23177-2778
Journal ID: ISSN 2010-1945; TRN: US1400158
DOE Contract Number:
AC05-06OR23177
Resource Type:
Conference
Resource Relation:
Journal Name: International Journal of Modern Physics: Conference Series; Journal Volume: 25; Conference: QCD Evolution 2013, Newport News, VA (United States), 6-10 May 2013
Publisher:
World Scientific
Research Org:
Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC) (United States)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS