Dipole factorization for DIS at NLO I: Loop correction to the photon to quark-antiquark light-front wave-functions

Abstract

The one-loop QCD corrections to the light-front wave-function for the quark-antiquark Fock state inside a transverse or longitudinal off-shell photon are explicitly calculated, both in full momentum space and in mixed space (a.k.a. dipole space). These results provide one of the main contributions to virtual NLO corrections to many DIS observables (inclusive or not) in the dipole factorization formalism at low Bjorken x. In a follow-up article, these one-loop corrections are combined with earlier results on the wave-function for the quark-antiquark-gluon Fock state, in order to get the full set of NLO corrections to the DIS structure functions $F_2$ and $F_L$ in the dipole factorization formalism, valid at low Bjorken x.

47 pages, 3 figures; version 2 includes minor corrections

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Cited by in corpus (63)

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• Forward trijet production in proton-nucleus collisions
• The dipole picture and the non-relativistic expansion
• Dihadron production in DIS at NLO: the real corrections
• Threshold Resummation for Hadron Production in the Small-$x$ Region
• Next-to-leading order Balitsky-Kovchegov equation beyond large $N_{\mathrm{c}}$
• Small $x$ Physics Beyond Eikonal Approximation: an Effective Hamiltonian Approach
• Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime
• Quark and gluon entanglement in the proton on the light cone at intermediate $x$
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• Isolated photon production in $pp$ collisions at forward rapidities and high multiplicity events
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• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
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• Exclusive heavy vector meson production at next-to-leading order in the dipole picture
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• Signatures of gluon saturation from structure-function measurements
• Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem
• Impact Factor for Exclusive Diffractive Dijet Production with NLO Accuracy
• Diffractive structure function in the dipole picture
• Diffractive deep inelastic scattering in the dipole picture: the $q\bar{q}g$ contribution in exact kinematics
• Dijet photoproduction at low $x$ at next-to-leading order and its back-to-back limit
• Factorization of the soft gluon divergence from the dipole picture deep inelastic scattering cross sections at next-to-leading order
• Exclusive production of light vector mesons at next-to-leading order in the dipole picture