Compton scattering: From deeply virtual to quasi-real

Andrei Belitsky, D. Müller, Y. Ji

Research output: Contribution to journalArticlepeer-review

24 Scopus citations

Abstract

We address the question of interpolation of the virtual Compton scattering process off a polarized nucleon target between the deeply virtual regime for the initial-state photon and its near on-shell kinematics making use of the photon helicity-dependent Compton Form Factors (CFFs) as a main ingredient of the formalism. The five-fold differential cross section. 1 for the reaction with all possible polarization options for the lepton and nucleon spins is evaluated in terms of CFFs in the rest reference frame of the initial-state nucleon. We suggest a rather simple parametrization of the Compton hadronic tensor in terms of CFFs which are free from kinematical singularities and are directly related, at large photon virtualities, to generalized parton distributions. We also provide a relation of our basis spanned by a minimal number of Dirac bilinears to the one introduced by Tarrach for the parametrization of the virtual Compton tensor and utilize the former to establish a set of equalities among our CFFs and generalized polarizabilities. As a complementary result, we express Compton scattering in the Born approximation in terms of CFFs as well.

Original languageEnglish (US)
Pages (from-to)214-268
Number of pages55
JournalNuclear Physics B
Volume878
Issue number1
DOIs
StatePublished - Jan 2014

Keywords

  • Compton form factors
  • Compton scattering
  • Generalized parton distributions
  • Generalized polarizabilities

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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