Forward dijets in proton-nucleus collisions at next-to-leading order: the real corrections

Abstract

Using the CGC effective theory together with the hybrid factorisation, we study forward dijet production in proton-nucleus collisions beyond leading order. In this paper, we compute the "real" next-to-leading order (NLO) corrections, i.e. the radiative corrections associated with a three-parton final state, out of which only two are being measured. To that aim, we start by revisiting our previous results for the three-parton cross-section presented in our previous paper. After some reshuffling of terms, we deduce new expressions for these results, which not only look considerably simpler, but are also physically more transparent. We also correct several errors in this process. The real NLO corrections to inclusive dijet production are then obtained by integrating out the kinematics of any of the three final partons. We explicitly work out the interesting limits where the unmeasured parton is either a soft gluon, or the product of a collinear splitting. We find the expected results in both limits: the B-JIMWLK evolution of the leading-order dijet cross-section in the first case (soft gluon) and, respectively, the DGLAP evolution of the initial and final states in the second case (collinear splitting). The "virtual" NLO corrections to dijet production will be presented in a subsequent publication.

60 pages, 25 figures

References in corpus (24)

• The Color Glass Condensate
• Universality of Unintegrated Gluon Distributions at small x
• NLO evolution of color dipoles
• Forward inclusive dijet production and azimuthal correlations in pA collisions
• Resumming double logarithms in the QCD evolution of color dipoles
• Azimuthal correlations of forward di-hadrons in d+Au collisions at RHIC in the Color Glass Condensate
• Direct numerical solution of the coordinate space Balitsky-Kovchegov equation at next to leading order
• Forward dihadron correlations in deuteron-gold collisions with a Gaussian approximation of JIMWLK
• Single-inclusive particle production in proton-nucleus collisions at next-to-leading order in the hybrid formalism
• Forward di-jet production in p+Pb collisions in the small-x improved TMD factorization framework
• Non-linear evolution in QCD at high-energy beyond leading order
• Transverse-momentum-dependent gluon distributions from JIMWLK evolution
• CGC factorization for forward particle production in proton-nucleus collisions at next-to-leading order
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Probing Gluon Saturation through Dihadron Correlations at an Electron-Ion Collider
• NLO JIMWLK evolution unabridged
• Universality of multi-particle production in QCD at high energies
• One gluon, two gluon: multigluon production via high energy evolution
• Deep inelastic scattering in the dipole picture at next-to-leading order
• Matching Collinear and Small-x Factorization Calculations for Inclusive Hadron Production in pA Collisions
• HERA data and collinearly-improved BK dynamics
• Impact factor for high-energy two and three jets diffractive production
• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• Treading on the cut: Semi inclusive observables at high energy

Cited by in corpus (20)

• Mining for Gluon Saturation at Colliders
• Quarks at next-to-eikonal accuracy in the CGC I: Forward quark-nucleus scattering
• Probing parton saturation and the gluon dipole via diffractive jet production at the Electron-Ion Collider
• Massive quarks in NLO dipole factorization for DIS: Transverse photon
• Pursuing the Precision Study for Color Glass Condensate in Forward Hadron Productions
• One-Loop Corrections to Dihadron Production in DIS at Small $x$
• Single Inclusive Hadron Production in DIS at Small $x$: Next to Leading Order Corrections
• 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
• Harmonics of Parton Saturation in Lepton-Jet Correlations at the EIC
• Dihadron production in DIS at NLO: the real corrections
• Single Inclusive Jet Production in $pA$ Collisions at NLO in the small-$x$ regime
• Dihadron Production in DIS at Small $x$ at Next to Leading Order: Transverse Photons
• Forward Inclusive Jet Productions in pA Collisions
• Incoherent diffractive dijet production in electron DIS off nuclei at high energy
• Incoherent diffractive dijet production and gluon Bose enhancement in the nuclear wave function
• Complete calculation of exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Kaon production in high multiplicity events at the LHC
• Dijet impact factor in DIS at next-to-leading order in the Color Glass Condensate
• Exclusive production of light vector mesons at next-to-leading order in the dipole picture