NLO Corrections to the Photon Impact Factor: Combining Real and Virtual Corrections

Abstract

In this third part of our calculation of the QCD NLO corrections to the photon impact factor we combine our previous results for the real corrections with the singular pieces of the virtual corrections and present finite analytic expressions for the quark-antiquark-gluon intermediate state inside the photon impact factor. We begin with a list of the infrared singular pieces of the virtual correction, obtained in the first step of our program. We then list the complete results for the real corrections (longitudinal and transverse photon polarization). In the next step we define, for the real corrections, the collinear and soft singular regions and calculate their contributions to the impact factor. We then subtract the contribution due to the central region. Finally, we combine the real corrections with the singular pieces of the virtual corrections and obtain our finite results.

35 pages, 4 figures, misprint in eq. (169) and typos corrected

Cited by in corpus (70)

• Parton distributions with small-x resummation: evidence for BFKL dynamics in HERA data
• Renormalisation group improved small-x Green's function
• Diffractive Vector Meson Production at HERA: from Soft to Hard QCD
• Photon impact factor and $k_T$-factorization for DIS in the next-to-leading order
• Photon impact factor in the next-to-leading order
• Screening effects in the ultrahigh energy neutrino interactions
• Dipole factorization for DIS at NLO I: Loop correction to the photon to quark-antiquark light-front wave-functions
• An "all-poles" approximation to collinear resummations in the Regge limit of perturbative QCD
• NLO corrections for the dipole factorization of DIS structure functions at low x
• Dipole factorization for DIS at NLO: Combining the $q\bar{q}$ and $q\bar{q}g$ contributions
• Small x Phenomenology - summary of the 3rd Lund Small x Workshop in 2004
• Non-forward NLO BFKL Kernel
• A Global Fit to Scattering Data with NLL BFKL Resummations
• Electroproduction of two light vector mesons in the next-to-leading approximation
• The next-to-leading order jet vertex for Mueller-Navelet and forward jets revisited
• The impact factor for the virtual photon to light vector meson transition
• Extending QCD perturbation theory to higher energies
• Inclusive production of a pair of hadrons separated by a large interval of rapidity in proton collisions
• NLO impact factor for inclusive photon$+$dijet production in $e+A$ DIS at small $x$
• Hunting BFKL in semi-hard reactions at the LHC
• NLO Corrections to the γ* Impact Factor: First Numerical Results for the Real Corrections to γ*_L
• High-energy resummation in ${\Lambda }_c$ baryon production
• Inclusive production of a heavy-light dijet system in hybrid high-energy and collinear factorization
• High-energy resummation in heavy-quark pair photoproduction
• High-energy resummed distributions for the inclusive Higgs-plus-jet production at the LHC
• Higher Order Effects in Non Linear Evolution from a Veto in Rapidities
• Electroproduction of two light vector mesons in next-to-leading BFKL: study of systematic effects
• Solving the BFKL Equation in the Next-to-Leading Approximation
• Bottom-flavored inclusive emissions in the variable-flavor number scheme: A high-energy analysis
• Inclusive Gluon Production In High Energy Onium-Onium Scattering
• Inclusive prompt photon production in electron-nucleus scattering at small x
• High-energy emissions of light mesons plus heavy flavor at the LHC and the Forward Physics Facility
• The next-to-leading order Higgs impact factor in the infinite top-mass limit
• Scattering of color dipoles: from low to high energies
• Diffractive deep inelastic scattering at NLO in the dipole picture: the $q\bar{q}g$ contribution
• Gluon Distributions and Fits using Dipole Cross-Sections
• Extracting many-body correlators of saturated gluons with precision from inclusive photon+dijet final states in deeply inelastic scattering
• Azimuthal decorrelation of forward jets in Deep Inelastic Scattering
• BFKL resummation effects in the gamma* gamma* total hadronic cross section
• ${\gamma }^{\ast }{\gamma }^{\ast }$ Cross Section at NLO and Properties of the BFKL Evolution at Higher Orders
• Mueller-Navelet jets at the LHC: hunting data with azimuthal distributions
• High-energy resummation in direct photon production
• The quark induced Mueller-Tang jet impact factor at next-to-leading order
• Quark-Antiquark Exchange in ${\gamma }^{\ast }{\gamma }^{\ast }$ Scattering
• The Gluon-Induced Mueller-Tang Jet Impact Factor at Next-to-Leading Order
• Vector quarkonia at the LHC with JETHAD: A high-energy viewpoint
• Confronting next-leading BFKL kernels with proton structure function data
• Hybrid kT-factorization and impact factors at NLO
• The ${\gamma }^{\ast }{\gamma }^{\ast }$ total cross section in next-to-leading order BFKL and LEP2 data
• Heavy Quark Photoproduction in k_T Factorization Approach
• A Variable Flavour Number Scheme for Heavy Quark Production at Small x
• Exotic tetraquarks at the HL-LHC with JETHAD: A high-energy viewpoint
• The New F_L Measurement from HERA and the Dipole Model
• Collective Flow Global Collective Flow in Heavy Ion Reactions from the Beginnings to the Future
• Next-leading BFKL effects in forward-jet production at HERA
• Comparison of NNLO DIS scheme splitting functions with results from exact gluon kinematics at small x
• Next-to-leading BFKL phenomenology of forward-jet cross sections at HERA
• Phenomenology of jet physics in the BFKL formalism at NLO
• Triply Heavy $\Omega$ Baryons with JETHAD: A High-Energy Viewpoint
• Tetraquark-Jet Systems at the High-Luminosity LHC
• Taming of preasymptotic small x evolution within resummation framework
• Probing QCD dynamics in two-photon interactions at high energies
• Elastic scattering of virtual photons via quark loop in Double-Logarithmic Approximation
• Light-by-light scattering in Double-Logarithmic Approximation
• The Virtual Photon-Gluon Impact Factor with Massive Quarks and Exact Gluon Kinematics
• Pomeron-Odderon Interactions: A Functional RG Flow Analysis
• Diffractive photon production at high momentum transfer in $ep$ collisions
• The Real Corrections to the Gamma* Impact Factor: First Numerical Results
• Diffraction 2006: Theoretical Summary
• NLO QCD Corrections to (${\gamma }^{\ast }\to Q\bar{Q}$)-Reggeon Vertex