Operator product expansion in QCD in off-forward kinematics: separation of kinematic and dynamical contributions

Braun, V. M. and Manashov, A. N. (2012) Operator product expansion in QCD in off-forward kinematics: separation of kinematic and dynamical contributions. JOURNAL OF HIGH ENERGY PHYSICS (1): 085. ISSN 1029-8479,

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Abstract

We develop a general approach to the calculation of target mass and finite t = (p' - p)(2) corrections in hard processes which can be studied in the framework of the operator product expansion and involve momentum transfer from the initial to the final hadron state. Such corrections, which are usually referred to as kinematic, can be defined as contributions of operators of all twists that can be reduced to total derivatives of the leading twist operators. As the principal result, we provide a set of projection operators that pick up the "kinematic" part of an arbitrary flavor-nonsinglet twist-four operator in QCD. A complete expression is derived for the time-ordered product of two electromagnetic currents that includes all kinematic corrections to twist-four accuracy. The results are immediately applicable to the studies of deeply-virtual Compton scattering, transition gamma* -> M gamma form factors and related processes. As a byproduct of this study, we find a series of "genuine" twist-four flavor-nonsinglet quark-antiquark-gluon operators which have the same anomalous dimensions as the leading twist quark-antiquark operators.

Item Type: Article
Uncontrolled Keywords: GENERALIZED PARTON DISTRIBUTIONS; TARGET MASS CORRECTIONS; WANDZURA-WILCZEK APPROXIMATION; TWIST DISTRIBUTION AMPLITUDES; DEEP-INELASTIC-SCATTERING; QUANTUM CHROMODYNAMICS; CONFORMAL-INVARIANCE; EVOLUTION-EQUATIONS; 2-PHOTON PROCESSES; VECTOR-MESONS; QCD; Conformal and W Symmetry; Renormalization Group
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Braun > Group Vladimir Braun
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 May 2020 05:12
Last Modified: 26 May 2020 05:12
URI: https://pred.uni-regensburg.de/id/eprint/19527

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