One-loop corrections to light cone wave functions: the dipole picture DIS cross section

Abstract

We develop methods needed to perform loop calculations in light cone perturbation theory using a helicity basis, refining the method introduced in our earlier work. In particular this includes implementing a consistent way to contract the four-dimensional tensor structures from the helicity vectors with d-dimensional tensors arising from loop integrals, in a way that can be fully automatized. We demonstrate this explicitly by calculating the one-loop correction to the virtual photon to quark-antiquark dipole light cone wave function. This allows us to calculate the deep inelastic scattering cross section in the dipole formalism to next-to-leading order accuracy. Our results, obtained using the four dimensional helicity scheme, agree with the recent calculation by Beuf using conventional dimensional regularization, confirming the regularization scheme independence of this cross section.

v2: Improved version in response to referee's comments, matches the published version; 47 pages, 21 figures

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• The Color Glass Condensate
• NLO evolution of color dipoles
• Resumming double logarithms in the QCD evolution of color dipoles
• Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
• Single-inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism
• Particle Production at High Energy and Large Transverse Momentum - "The Hybrid Formalism" Revisited
• Deep inelastic scattering in the dipole picture at next-to-leading order
• Next-to-leading order forward hadron production in the small-$x$ regime: rapidity factorization
• Impact factor for high-energy two and three jets diffractive production
• NLO evolution of 3-quark Wilson loop operator

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