Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond

Kumericki, K. and Mueller, D. and Passek-Kumericki, K. (2008) Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond. NUCLEAR PHYSICS B, 794 (1-2). pp. 244-323. ISSN 0550-3213, 1873-1562

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Abstract

Combining dispersion and operator product expansion techniques, we derive the conformal partial wave decomposition of the virtual Compton scattering amplitude in terms of complex conformal spin to twist-two accuracy. The perturbation theory predictions for the deeply virtual Compton scattering (DVCS) amplitude are presented in next-to-leading order for both conformal and modified minimal subtraction scheme. Within a conformal subtraction scheme, where we exploit predictive power of conformal symmetry, the radiative corrections are presented up to next-to-next-to-leading order accuracy. Here, because of the trace anomaly, the mixing of conformal moments of generalized parton distributions (GPD) at the three-loop level remains unknown. Within a new proposed parameterization for GPDs, we then study the convergence of perturbation theory and demonstrate that our formalism is suitable for a fitting procedure of DVCS observables. (c) 2007 Elsevier B.V. All rights reserved.

Item Type: Article
Uncontrolled Keywords: GENERALIZED PARTON DISTRIBUTIONS; INELASTIC STRUCTURE FUNCTIONS; HARD DIFFRACTIVE ELECTROPRODUCTION; VECTOR-MESON ELECTROPRODUCTION; 3-LOOP SPLITTING FUNCTIONS; CONSTITUENT QUARK MODELS; IMPACT PARAMETER SPACE; NUCLEON FORM-FACTORS; EXCLUSIVE PROCESSES; SUM-RULES; deeply virtual Compton scattering; next-to-next-to-leading order corrections; fitting procedure; generalized parton distributions; Conformal symmetry
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 03 Nov 2020 13:43
Last Modified: 03 Nov 2020 13:43
URI: https://pred.uni-regensburg.de/id/eprint/30978

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