Polarized Deep Inelastic Diffractive ep Scattering: Operator Approach

Abstract

Polarized inclusive deep-inelastic diffractive scattering is dealt with in a quantum field theoretic approach. The process can be described in the general framework of non-forward scattering processes using the light-cone expansion in the generalized Bjorken region applying the generalized optical theorem. The diffractive structure functions $g_1^{D(3)}$ and $g_2^{D(3)}$ are calculated in the twist-2 approximation and are expressed by diffractive parton distributions, which are derived from pseudo-scalar two-variable operator expectation values. In this approximation the structure functions $g_2^{D(3)}$ is obtained from $g_1^{D(3)}$ by a Wandzura-Wilczek relation similar as for deep inelastic scattering. The evolution equations are given. We also comment on the higher twist contributions in the light-cone expansion.

13 pages LATEX, 2 style files, report number corrected, paper unchanged

References in corpus (5)

• Diffraction at HERA and the Confinement Problem
• Power corrections of off-forward quark distributions and harmonic operators with definite twist
• On the Scaling Violations of Diffractive Structure Functions: Operator Approach
• On the structure of the virtual Compton amplitude with additional final-state meson in the extended Bjorken region
• Twist-4 Gluon Recombination Corrections for Deep Inelastic Structure Functions

Cited by in corpus (16)

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• QCD Analysis of Polarized Deep Inelastic Scattering Data
• Collider Physics at HERA
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• The 3-Loop Non-Singlet Heavy Flavor Contributions to the Structure Function g_1(x,Q^2) at Large Momentum Transfer
• Target mass corrections for virtual Compton scattering at twist-2 and generalized, non-forward Wandzura-Wilczek and Callan-Gross relations
• O(α^2 L) Radiative Corrections to Deep Inelastic ep Scattering
• The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering
• Target mass and finite $t$ corrections to diffractive deeply inelastic scattering
• The Logarithmic Contributions to the Polarized and Operator Matrix Elements in Deeply Inelastic Scattering
• Target mass and finite momentum transfer corrections to unpolarized and polarized diffractive scatterin
• Twist-2 Heavy Flavor Contributions to the Structure Function $g_2(x,Q^2)$
• The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations
• Effective Field Theory Factorization for Diffraction
• The QCD Coupling and Parton Distributions at High Precision