The one loop gluon emission light cone wave function

Abstract

Light cone perturbation theory has become an essential tool to calculate cross sections for various small-$x$ dilute-dense processes such as deep inelastic scattering and forward proton-proton and proton-nucleus collisions. Here we set out to do one loop calculations in an explicit helicity basis in the four dimensional helicity scheme. As a first process we calculate light cone wave function for one gluon emission to one-loop order in Hamiltonian perturbation theory on the light front. We regulate ultraviolet divergences with transverse dimensional regularization and soft divergences with using a cut-off on longitudinal momentum. We show that when all the renormalization constants are combined, the ultraviolet divergences can be absorbed into the standard QCD running coupling constant, and give an explicit expression for the remaining finite part.

V2: Typo corrections and clarifications to text, t.b.p, Annals Phys

References in corpus (13)

• The Color Glass Condensate
• 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
• 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
• Particle Production at High Energy and Large Transverse Momentum - "The Hybrid Formalism" Revisited
• Dipole factorization for DIS at NLO I: Loop correction to the photon to quark-antiquark light-front wave-functions
• On the one loop ${\gamma }^{(\ast )}\to q\bar{q}$ impact factor and the exclusive diffractive cross sections for the production of two or three jets
• Impact factor for high-energy two and three jets diffractive production
• Polarized 3 parton production in inclusive DIS at small x
• NLO evolution of 3-quark Wilson loop operator

Cited by in corpus (25)

• Mining for Gluon Saturation at Colliders
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• In depth analysis of the combined HERA data in the dipole models with and without saturation
• One-loop corrections to light cone wave functions: the dipole picture DIS cross section
• 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
• Massive quarks in NLO dipole factorization for DIS: Longitudinal photon
• Color charge correlations in the proton at NLO: beyond geometry based intuition
• Quantum Field Theory, Feynman-, Wheeler Propagators, Dimensional Regularization in Configuration Space and Convolution of Lorentz Invariant Tempered Distributions
• The LPM effect in sequential bremsstrahlung: nearly complete results for QCD
• Diffractive deep inelastic scattering at NLO in the dipole picture: the $q\bar{q}g$ contribution
• Forward trijet production in proton-nucleus collisions
• The dipole picture and the non-relativistic expansion
• In-medium loop corrections and longitudinally polarized gauge bosons in high-energy showers
• The medium-modified $g\to c\bar{c}$ splitting function in the BDMPS-Z formalism
• Dimensionally regularized Tsallis' Statistical Mechanics and two-body Newton's gravitation
• Cubic color charge correlator in a proton made of three quarks and a gluon
• Dimensionally regularized Boltzmann-Gibbs Statistical Mechanics and two-body Newton's gravitation
• Newton's gravitation-force's classical average proof of a Verlinde's conjecture
• Chiral sum rule on the light front and the 3D image of the pion
• Using QCD Counting rules to Identify the Production of Gluonium
• Exclusive heavy vector meson production at next-to-leading order in the dipole picture
• Gluon imaging using azimuthal correlations in diffractive scattering at the Electron-Ion Collider
• Statistical properties of partonic configurations and diffractive dissociation in high-energy electron-nucleus scattering
• Exclusive photoproduction of heavy quarkonia pairs