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

Conference · Wed Jan 01 04:00:00 EST 2014 · International Journal of Modern Physics: Conference Series

DOI:https://doi.org/10.1142/S2010194514600374· OSTI ID:1116346

Tandogan Kunkel, Asli ^[1]; Radyushkin, Anatoly V. ^[1]

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1. Old Dominion Univ., Norfolk, VA and JLAB, Newport News, VA (United States)

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.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC) (United States)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1116346
• Report Number(s): JLAB-THY--13-1805; DOE/OR--23177-2778
• Conference Information: Journal Name: International Journal of Modern Physics: Conference Series Journal Volume: 25
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS