Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions

Abstract

The NLO corrections to the DIS structure functions $F_2$ and $F_L$ (or equivalently the photon-target cross sections ${\sigma }_T^{{\gamma }^{\ast }}$ and ${\sigma }_L^{{\gamma }^{\ast }}$) at low $x_{Bj}$ are obtained, as a generalization of the dipole factorization formula. For the first time, the contributions of both the $q\bar{q}$ and the $q\bar{q}g$ Fock states in the photon are directly calculated, using earlier results for the $q\bar{q}$ light-front wave-functions at one loop inside a dressed virtual photon. Both the $q\bar{q}$ and the $q\bar{q}g$ contributions have UV divergences, which are shown to cancel each other, using conventional dimensional regularization as UV regulator. Finally, the resummation of high-energy logarithms on top of the NLO results for ${\sigma }_T^{{\gamma }^{\ast }}$ and ${\sigma }_L^{{\gamma }^{\ast }}$ is discussed.

37 pages, 1 figure

References in corpus (12)

• NLO evolution of color dipoles
• Quark contribution to the small-$x$ evolution of color dipole
• Triumvirate of Running Couplings in Small-x Evolution
• Non-linear QCD meets data: A global analysis of lepton-proton scattering with running coupling BK evolution
• 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
• Photon impact factor in the next-to-leading order
• CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
• NLO evolution of color dipoles in N=4 SYM
• NLO JIMWLK evolution unabridged
• Probing gluon saturation with next-to-leading order photon production at central rapidities in proton-nucleus collisions
• Impact factor for high-energy two and three jets diffractive production

Cited by in corpus (35)

• Mining for Gluon Saturation at Colliders
• Deep inelastic scattering in the dipole picture at next-to-leading order
• The importance of kinematic twists and genuine saturation effects in dijet production at the Electron-Ion Collider
• HERA data and collinearly-improved BK dynamics
• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• Massive quarks in NLO dipole factorization for DIS: Longitudinal photon
• Nucleon Energy Correlators for the Color Glass Condensate
• Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering
• High-energy Operator Product Expansion at sub-eikonal level
• Massive quarks in NLO dipole factorization for DIS: Transverse photon
• Investigating saturation effects in ultraperipheral collisions at the LHC with the color dipole model
• Massive quarks at one loop in the dipole picture of Deep Inelastic Scattering
• Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections
• DIS dijet production at next-to-eikonal accuracy in the CGC
• Forward Higgs production within high energy factorization in the heavy quark limit at next-to-leading order accuracy
• Proton structure functions at NLO in the dipole picture with massive quarks
• Diffractive deep inelastic scattering at NLO in the dipole picture: the $q\bar{q}g$ contribution
• Inferring the initial condition for the Balitsky-Kovchegov equation
• Prospects for quarkonium studies at the high-luminosity LHC
• Extended collinearly-improved Balitsky-Kovchegov evolution equation in target rapidity
• Complete Next-to-Leading Order Calculation of Single Inclusive ${\pi }^0$ Production in Forward Proton-Nucleus Collisions
• Initial condition for the Balitsky-Kovchegov equation at next-to-leading order
• Sudakov effects and the dipole amplitude
• Physical limits in the Color Dipole Model Bounds
• Impact-parameter-dependent solutions to the Balitsky-Kovchegov equation at next-to-leading order
• Parton model contributions as next-to-eikonal corrections to the dipole factorization of DIS and SIDIS at low $x_{Bj}$
• Photoproduction of ${\eta }_c\gamma$ pairs in CGC framework
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• A numerical implementation of the NLO DIS structure functions in the dipole picture
• Signatures of gluon saturation from structure-function measurements
• Exclusive production of light vector mesons at next-to-leading order in the dipole picture
• One-loop amplitudes with an off-shell gluon
• Reconstruction of the Dipole Amplitude in the Dipole Picture as a mathematical Inverse Problem
• Diffractive structure function in the dipole picture
• Diffractive deep inelastic scattering in the dipole picture: the $q\bar{q}g$ contribution in exact kinematics