Wandzura-Wilczek approximation from generalized rotational invariance

Feb, 2001
14 pages
Published in:
  • Phys.Lett.B 509 (2001) 95-105
e-Print:
Report number:
  • FTUV-01-0216,
  • IFIC-01-05,
  • TPR-01-01,
  • VALENCIA-U.,-IFIC

Citations per year

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Abstract:
We present the alternative way of derivation of the Wandzura-Wilczek relations between the kinematical twist-3 and twist-2 functions, parameterizing hadronic matrix element in two-photon processes γπγπ\gamma^{\star}\pi\to \gamma\pi and γγππ\gamma^{\star}\gamma\to\pi\pi. The new equations, providing the independence of the physical cross-sections on the choice of the light-cone direction, are suggested and explored. The amplitude of γγππ\gamma^{\star}\gamma\to\pi\pi up to genuine twist-3 accuracy is found.
Note:
  • 14 pages, Latex Report-no: FTUV-01-0216, IFIC/01-05, TPR-01-01
  • photon pi: Compton scattering
  • off-shell
  • photon photon: exclusive reaction
  • pi: pair production
  • quantum chromodynamics
  • effect: higher-twist
  • Wandzura-Wilczek approximation
  • invariance: rotation