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


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Article Info

DATE

2012-01

AUTHORS

V. M. Braun, A. N. Manashov

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 γ* → Mγ 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. More... »

PAGES

85

References to SciGraph publications

  • 1990-06. Conformal invariance and pion wave functions of nonleading twist in ZEITSCHRIFT FÜR PHYSIK C PARTICLES AND FIELDS
  • 2009-11-20. What can break the Wandzura-Wilczek relation? in JOURNAL OF HIGH ENERGY PHYSICS
  • 2009-05. Target-mass and finite t corrections to diffractive deep-inelastic scattering in THE EUROPEAN PHYSICAL JOURNAL C
  • 2010-08. Anomalous dimensions of composite operators in scalar field theories in JOURNAL OF MATHEMATICAL SCIENCES
  • 2003-07-21. Separation of variables for the quantum SL(2,ℝ) spin chain in JOURNAL OF HIGH ENERGY PHYSICS
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/jhep01(2012)085

    DOI

    http://dx.doi.org/10.1007/jhep01(2012)085

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1007768098


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