Towards a fitting procedure to deeply virtual meson production -- the next-to-leading order case --

Abstract

Based on the collinear factorization approach, we present a comprehensive perturbative next-to-leading (NLO) analysis of deeply virtual meson production (DVMP). Our representation in conformal Mellin space can serve as basis for a global fitting procedure to access generalized parton distributions from experimental measurements of DVMP and deeply virtual Compton scattering (DVCS). We introduce a rather general formalism for the evaluation of conformal moments that can be developed further beyond the considered order. We also confirm previous diagrammatical findings in the pure singlet quark channel. Finally, we use the analytic properties of the hard scattering amplitudes to estimate qualitatively the size of radiative corrections and illustrate these considerations with some numerical examples. The results suggest that global NLO GPD fits, including both DVMP and DVCS data, could be more stable than often feared.

125 pages, 7 figures, 8 tables

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• The $\rho$-meson light-cone distribution amplitudes from lattice QCD
• Generalized parton distributions through universal moment parameterization: non-zero skewness case
• An introductory lecture on Generalised Parton Distributions
• Dual parametrization of generalized parton distributions in two equivalent representations
• NLO corrections to the deeply virtual meson production revisited: impact on the extraction of generalized parton distributions
• Determination of shear forces inside the proton
• Regularization dependence of pion generalised parton distributions
• Improved determination of $\bar{d}(x)-\bar{u}(x)$ flavor asymmetry in the proton by BONuS experiment at JLAB and using an approach by Brodsky, Hoyer, Peterson, and Sakai
• String-based axial and helicity-flip GPDs: a comparison to lattice QCD
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• On convergence properties of GPD expansion through Mellin/conformal moments and orthogonal polynomials
• The kaon off-shell generalized parton distributions and transverse momentum dependent parton distributions
• Conformal moments of the two-loop coefficient functions in DVCS