NNLO QCD corrections to $pp\to {\gamma }^{\ast }{\gamma }^{\ast }$ in the large $N_F$ limit

Abstract

We compute the NNLO QCD corrections for the hadroproduction of a pair of off-shell photons in the limit of a large number of quark flavors. We perform a reduction of the two-loop amplitude to master integrals and calculate the latter analytically as a Laurent series in the dimensional regulator using modern integration methods. Real radiation corrections are evaluated numerically with a direct subtraction of infrared limits which we cast in a simple factorized form. The results presented here constitute a gauge invariant part of the full NNLO corrections but are not necessarily dominant. We view this calculation as a step towards a complete computation. Our partial corrections to the total cross-section are about $1\%-3\%$ and vary with the virtuality of the two off-shell photons.

arXiv comment53 pages

References in corpus (69)

• Parton distributions for the LHC
• Matching NLO QCD computations and parton shower simulations
• An update on vector boson pair production at hadron colliders
• Vector boson pair production at the LHC
• The Singular Behaviour of QCD Amplitudes at Two-loop Order
• Classical Polylogarithms for Amplitudes and Wilson Loops
• Dimensionally Regulated Pentagon Integrals
• FORM version 4.0
• An automatized algorithm to compute infrared divergent multi-loop integrals
• Numerical evaluation of multiple polylogarithms
• ZZ production at hadron colliders in NNLO QCD
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Automatic Integral Reduction for Higher Order Perturbative Calculations
• Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond
• Multiple polylogarithms and mixed Tate motives
• W+W-, WZ and ZZ production in the POWHEG BOX
• HypExp, a Mathematica package for expanding hypergeometric functions around integer-valued parameters
• From polygons and symbols to polylogarithmic functions
• Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes
• Diphoton production at hadron colliders: a fully-differential QCD calculation at NNLO
• Soft triple-real radiation for Higgs production at N3LO
• Scaled momentum distributions of charged particles in dijet photoproduction at HERA
• The massless higher-loop two-point function
• Vector Boson Pair Production in Hadronic Collisions at Order ${\alpha }_s$: Lepton Correlations and Anomalous Couplings
• Hexagon functions and the three-loop remainder function
• Four-lepton production at hadron colliders: aMC@NLO predictions with theoretical uncertainties
• Gluon-induced W-boson pair production at the LHC
• FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions
• Helicity Amplitudes for $\mathcal{O}({\alpha }_s)$ Production of $W^{+}{W}^{-},W^{\pm }Z,ZZ,W^{\pm }\gamma ,$ or $Z\gamma$ Pairs at Hadron Colliders
• Vector-boson pair production at the LHC to $\mathcal{O}({\alpha }^3)$ accuracy
• Measurement of W^+W^- production in pp collisions at sqrt{s}=7 TeV with the ATLAS detector and limits on anomalous WWZ and WWgamma couplings
• New results for two-loop off-shell three-point diagrams
• Automating the POWHEG method in Sherpa
• Two-loop QED and QCD corrections to massless fermion-boson scattering
• Three-mass triangle integrals and single-valued polylogarithms
• The Two-Loop Master Integrals for $q\bar{q}\to VV$
• On hyperlogarithms and Feynman integrals with divergences and many scales
• Measurement of WZ production in proton-proton collisions at sqrt(s) = 7 TeV with the ATLAS detector
• Logarithmic electroweak corrections to gauge-boson pair production at the LHC
• Explicit results for all orders of the epsilon-expansion of certain massive and massless diagrams
• Electroweak corrections to W-boson pair production at the LHC
• A Positive-Weight Next-to-Leading-Order Monte Carlo for Z Pair Hadroproduction
• Gluon-induced WW background to Higgs boson searches at the LHC
• Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms
• Measurement of the ZZ production cross section and search for anomalous couplings in 2l2l' final states in pp collisions at sqrt(s) = 7 TeV
• Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements
• Measurement of the $W^{+}{W}^{-}$ Production Cross Section and Search for Anomalous $WW\gamma$ and $WWZ$ Couplings in $p\bar{p}$ Collisions at $\sqrt{s}=1.96$ TeV
• Master Integrals For Massless Two-Loop Vertex Diagrams With Three Offshell Legs
• The fully differential hadronic production of a Higgs boson via bottom quark fusion at NNLO
• Simplified differential equations approach for Master Integrals
• Next-to-leading order electroweak corrections to pp -> W+W- -> 4 leptons at the LHC in double-pole approximation
• On the factorization of overlapping singularities at NNLO
• QCD Corrections and Non-standard Three Vector Boson Couplings in $W^{+}{W}^{-}$ Production at Hadron Colliders
• Next-to-Next-to-Leading Electroweak Logarithms for W-Pair Production at LHC
• Generalised ladders and single-valued polylogarithms
• Soft-gluon effects in WW production at hadron colliders
• Introduction to the GiNaC Framework for Symbolic Computation within the C++ Programming Language
• Search for anomalous quartic WWγγ couplings in dielectron and missing energy final states in ppbar collisions at sqrt(s) = 1.96 TeV
• A positive-weight next-to-leading order simulation of weak boson pair production
• A measurement of the WZ and ZZ production cross sections using leptonic final states in 8.6 fb${}^{-1}$ of $p\bar{p}$ collisions
• Threshold Resummed and Approximate NNLO results for W+W- Pair Production at the LHC
• Measurement of the WW cross section in sqrt(s) = 7 TeV pp collisions with ATLAS
• Measurement of WZ and ZZ production in pp collisions at sqrt(s) = 8 TeV in final states with b-tagged jets
• Electroweak corrections and anomalous triple gauge-boson couplings in WW and WZ production at the LHC
• Measurement of ZZ production in leptonic final states at {\surd}s of 1.96 TeV at CDF
• Transverse-Momentum Resummation for Gauge Boson Pair Production at the Hadron Collider
• Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions
• Measurement of the ZZ production cross section and search for the standard model Higgs boson in the four lepton final state in ppbar collisions
• Threshold Resummation for WZ and ZZ Pair Production at the LHC

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