Target mass and finite momentum transfer corrections to unpolarized and polarized diffractive scatterin

Abstract

A quantum field theoretic treatment of inclusive deep--inelastic diffractive scattering is given. The process can be described in the general framework of non--forward scattering processes using the light--cone expansion in the generalized Bjorken region. Target mass and finite $t$ corrections of the diffractive hadronic tensor are derived at the level of the twist--2 contributions both for the unpolarized and the polarized case. They modify the expressions contributing in the limit $t,M^2\to 0$ for larger values of $\beta$ or/and $t$ in the region of low $Q^2$. The different diffractive structure functions are expressed through integrals over the relative momentum of non--perturbative $t$--dependent 2--particle distribution functions. In the limit $t,M^2\to 0$ these distribution functions are the diffractive parton distribution. Relations between the different diffractive structure functions are derived.

arXiv comment24 pages, one style file

References in corpus (41)

• Proof of Factorization for Diffractive Hard Scattering
• Inclusive Measurement of Diffractive Deep-inelastic ep Scattering
• Small x: Two Pomerons!
• Moments of Nucleon Generalized Parton Distributions in Lattice QCD
• Linking Parton Distributions to Form Factors and Compton Scattering
• Generalized Parton Distributions from Lattice QCD
• Hyperon-Nucleon Scattering from Fully-Dynamical Lattice QCD
• Target Mass Corrections for Polarized Structure Functions and New Sum Rules
• On the Twist 2 and Twist 3 Contributions to the Spin-dependent Electroweak Structure Functions
• A PARTON MODEL FOR DIFFRACTIVE PROCESSES IN DEEP INELASTIC SCATTERING
• Behavior of Diffractive Parton Distribution Functions
• Study of deep inelastic inclusive and diffractive scattering with the ZEUS forward plug calorimeter
• Determination of the Longitudinal Proton Structure Function F_L(x,Q^2) at Low x
• Target mass effects in polarized deep-inelastic scattering
• The Virtual Compton Amplitude in the Generalized Bjorken Region: Twist--2 Contributions
• New data and the hard pomeron
• An Analysis of Diffraction in Deep-Inelastic Scattering
• On the Structure of the Virtual Compton Amplitude in the Generalized Bjorken Region: Integral Relations
• Decomposition of nonlocal light-cone operators into harmonic operators of definite twist
• On the twist-2 contributions to polarized structure functions and new sum rules
• Diffraction in Deep Inelastic Scattering
• The QCD description of diffractive processes
• Skewed Parton Distributions in Real and Virtual Compton Scattering
• Twist decomposition of nonlocal light-cone operators II: General tensors of 2nd rank
• Measurement of the Diffractive Cross Section in Deep Inelastic Scattering
• Resummation of target mass corrections in two-photon processes: twist-two sector
• Diffraction at HERA and the Confinement Problem
• Quark Model Description of Polarised Deep Inelastic Scattering and the prediction of $g_2$
• Target mass corrections for virtual Compton scattering at twist-2 and generalized, non-forward Wandzura-Wilczek and Callan-Gross relations
• Target Mass Effects in QCD Bjorken Sum Rule
• Power corrections of off-forward quark distributions and harmonic operators with definite twist
• On the Scaling Violations of Diffractive Structure Functions: Operator Approach
• Polarized Deep Inelastic Diffractive ep Scattering: Operator Approach
• Twist-2 Heavy Flavor Contributions to the Structure Function $g_2(x,Q^2)$
• On the structure of the virtual Compton amplitude with additional final-state meson in the extended Bjorken region
• Nucleon Mass Corrections to Spin Dependent Structure Functions and Relations Between their Twist-3 Contributions
• Probing the nucleon at large momentum tramsfer
• The twist-2 Compton operator and its hidden Wandzura-Wilczek and Callan-Gross relations
• Geometric twist decomposition off the light--cone for nonlocal QCD operators
• Polarized Deep Inelastic Diffractive Scattering near the Light Cone
• Diffractive Hard Scattering

Cited by in corpus (15)

• A Review of Target Mass Corrections
• Operator product expansion in QCD in off-forward kinematics: Separation of kinematic and dynamical contributions
• Finite-t and target mass corrections to deeply virtual Compton scattering
• Finite-t and target mass corrections to DVCS on a scalar target
• Kinematic power corrections in off-forward hard reactions
• The Polarized Two-Loop Massive Pure Singlet Wilson Coefficient for Deep-Inelastic Scattering
• Target mass and finite $t$ corrections to diffractive deeply inelastic scattering
• Higher-Order Kinematical Effects in Deeply Virtual Compton Scattering
• Twist-three cross-sections in deeply virtual Compton scattering
• Diffractive parton distributions from the analysis with higher twist
• $O({\alpha }_s^2$) Polarized Heavy Flavor Corrections}to Deep-Inelastic Scattering at $Q^2\gg m^2$
• Measurement of the Diffractive Longitudinal Structure Function F_L^D at HERA
• Finite-t and target mass corrections in off-forward hard reactions
• Unified and optimal frame choice for generalized parton distributions
• New framework for extracting GPDs from exclusive photon electroproduction