High-energy Operator Product Expansion at sub-eikonal level

Abstract

The high energy Operator Product Expansion for the product of two electromagnetic currents is extended to the sub-eikonal level in a rigorous way. I calculate the impact factors for polarized and unpolarized structure functions, define new distribution functions, and derive the evolution equations for unpolarized and polarized structure functions in the flavor singlet and non-singlet case.

82 pages, 16 figures, JHEP version with typos corrected, references added

References in corpus (14)

• Extraction of Spin-Dependent Parton Densities and Their Uncertainties
• NLO evolution of color dipoles
• A first unbiased global determination of polarized PDFs and their uncertainties
• Global Analysis of Helicity Parton Densities and Their Uncertainties
• The Three-Loop Splitting Functions in QCD: The Helicity-Dependent Case
• Next-to-eikonal corrections in the CGC: gluon production and spin asymmetries in pA collisions
• Photon impact factor in the next-to-leading order
• NLO evolution of color dipoles in N=4 SYM
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Helicity Evolution at Small $x$: Flavor Singlet and Non-Singlet Observables
• The role of the chiral anomaly in polarized deeply inelastic scattering I: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics
• Orbital Angular Momentum at Small $x$
• $CP$-odd gluonic operators in QCD spin physics
• Nucleon electric dipole moment from polarized deep inelastic scattering

Cited by in corpus (23)

• Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering
• Quark and Gluon Helicity Evolution at Small $x$: Revised and Updated
• Quark and scalar propagators at next-to-eikonal accuracy in the CGC through a dynamical background gluon field
• Helicity Evolution at Small $x$: the Single-Logarithmic Contribution
• First analysis of world polarized DIS data with small-$x$ helicity evolution
• DIS dijet production at next-to-eikonal accuracy in the CGC
• The role of the chiral anomaly in polarized deeply inelastic scattering II: Topological screening and transitions from emergent axion-like dynamics
• Analytic Solution for the Revised Helicity Evolution at Small $x$ and Large $N_c$: New Resummed Gluon-Gluon Polarized Anomalous Dimension and Intercept
• T-odd Leading-Twist Quark TMDs at Small $x$
• Scattering and gluon emission in a color field: a light-front Hamiltonian approach
• Small $x$ Physics Beyond Eikonal Approximation: an Effective Hamiltonian Approach
• Gluon-mediated inclusive Deep Inelastic Scattering from Regge to Bjorken kinematics
• Multiparticle production in proton-nucleus collisions beyond eikonal accuracy
• Multi-particle production in proton-nucleus collisions in the Color Glass Condensate
• Helicity Evolution at Small $x$: Revised Asymptotic Results at Large $N_c\&N_f$
• Small-x Evolution of the Gluon Generalized Parton Distribution Eg of the Nucleon
• Global analysis of polarized DIS & SIDIS data with improved small-$x$ helicity evolution
• Unifying approaches: derivation of Balitsky hierarchy from the Lipatov effective action
• Quark TMDs from back-to-back dijet production at forward rapidities in pA collisions beyond eikonal accuracy in the CGC
• Color Glass Condensate meets High Twist Expansion
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Perturbative Corrections to Quark TMDPDFs in the Background-Field Method: Gauge Invariance, Equations of Motion, and Multiple Interactions
• Proton spin from small-$x$ with constraints from the valence quark model