Non-Forward and Unequal Mass Virtual Compton Scattering

Abstract

We discuss the general operator product expansion of a non-forward unequal mass virtual compton scattering scattering amplitude. We find that the expansion now should be done in double moments with new moment variables. There are in the expansion new sets of leading twist operators which have overall derivatives, and they mix under renormalization. We compute the evolution kernels from which the anomalous dimensions for these operators can be extracted. We also obtain the lowest order Wilson Coefficients. In the high energy limit we find the explicit form of the dominant contributing anomalous dimensions and solve the resulting renormalization group equation. We find the same high energy behavior as indicated by the conventional double leading logarithmic analysis.

11 pages, RevTex, 3 figures

Cited by in corpus (15)

• Generalized Parton Distributions
• Proof of Factorization for Deeply Virtual Compton Scattering in QCD
• Deeply virtual Compton scattering at small x_B and the access to the GPD H
• The Spin Structure of the Nucleon
• Towards a fitting procedure for deeply virtual Compton scattering at next-to-leading order and beyond
• Sum rules and dualities for generalized parton distributions: is there a holographic principle?
• A QCD analysis of near-threshold quarkonium leptoproduction at large photon virtualities
• Generalized Parton Distributions: visions, basics, and realities
• Deeply virtual Compton scattering beyond next-to-leading order: the flavor singlet case
• Generalised parton distributions from the off-forward Compton amplitude in lattice QCD
• Dual parametrization of generalized parton distributions in two equivalent representations
• Counting and Tensorial Properties of Twist-Two Helicity-Flip Nucleon Form Factors
• Study of Nondiagonal Parton Distribution Models
• Asymptotic high energy behavior of the deeply virtual Compton scattering amplitude
• Asymptotic properties of DVCS