Analytic Continuation of Massless Two-Loop Four-Point Functions

Abstract

We describe the analytic continuation of two-loop four-point functions with one off-shell external leg and internal massless propagators from the Euclidean region of space-like $1\to 3$ decay to Minkowskian regions relevant to all $1\to 3$ and $2\to 2$ reactions with one space-like or time-like off-shell external leg. Our results can be used to derive two-loop master integrals and unrenormalized matrix elements for hadronic vector-boson-plus-jet production and deep inelastic two-plus-one-jet production, from results previously obtained for three-jet production in electron--positron annihilation.

26 pages, LaTeX

Cited by in corpus (65)

• Antenna Subtraction at NNLO
• QCD and strongly coupled gauge theories: challenges and perspectives
• Numerical evaluation of multiple polylogarithms
• HPL, a Mathematica implementation of the harmonic polylogarithms
• Fully differential Higgs boson production and the di-photon signal through next-to-next-to-leading order
• Two-Loop g -> gg Splitting Amplitudes in QCD
• Feynman Diagrams and Differential Equations
• Gluon-Gluon Antenna Functions from Higgs Boson Decay
• Infrared Structure of $e^{+}{e}^{-}\to 2$ jets at NNLO
• Quark-Gluon Antenna Functions from Neutralino Decay
• Two-Loop QCD Helicity Amplitudes for $e^{+}{e}^{-}\to 3$~Jets
• Two-Loop QCD Corrections to the Helicity Amplitudes for $H\to$ 3 partons
• Numerical evaluation of phase space integrals by sector decomposition
• Antenna subtraction at NNLO with hadronic initial states: initial-final configurations
• Four-Particle Phase Space Integrals in Massless QCD
• Pentagon functions for massless planar scattering amplitudes
• Infrared structure of e+e- --> 3 jets at NNLO
• Two-loop QCD helicity amplitudes for $q\bar{q}\to W^{\pm }\gamma$ and $q\bar{q}\to Z^0\gamma$
• Analytic result for the nonplanar hexa-box integrals
• Analytic results for two-loop master integrals for Bhabha scattering I
• Fiducial Drell-Yan production at the LHC improved by transverse-momentum resummation at N${}^4$LL+N${}^3$LO
• Progress in NNLO calculations for scattering processes
• Precise QCD predictions for the production of dijet final states in deep inelastic scattering
• Numerical evaluation of loop integrals
• Three-loop master integrals for ladder-box diagrams with one massive leg
• Analytical Result for Dimensionally Regularized Massless On-Shell Planar Triple Box
• Planar box diagram for the (N_F = 1) 2-loop QED virtual corrections to Bhabha scattering
• Two-loop $gg\to Hg$ amplitude mediated by a nearly massless quark
• Two-Loop N_F=1 QED Bhabha Scattering Differential Cross Section
• Periods and Feynman integrals
• Transverse-momentum spectra of electroweak bosons near threshold at NNLO
• Two-loop QCD helicity amplitudes for $gg\to Zg$ and $gg\to Z\gamma$
• Two-Loop N_F =1 QED Bhabha Scattering: Soft Emission and Numerical Evaluation of the Differential Cross-section
• Electroweak Sudakov effects in W, Z and gamma production at large transverse momentum
• Two-Loop Bhabha Scattering in QED
• NLO Corrections to Light-Quark Mixed QCD-EW Contributions to Higgs Production
• $Z\gamma$ production at NNLO including anomalous couplings
• Two-Loop Master Integrals for $q\bar{q}\to VV$: the Planar Topologies
• Lepton-pair scattering with an off-shell and an on-shell photon at two loops in massless QED
• Two-loop amplitudes for $qg\to Hq$ and $q\bar{q}\to Hg$ mediated by a nearly massless quark
• Two-Loop QCD Corrections to Higgs $\to b+\bar{b}+g$ Amplitude
• Photon Fragmentation in the Antenna Subtraction Formalism
• Master integrals for the NNLO virtual corrections to $q\bar{q}\to t\bar{t}$ scattering in QCD: the non-planar graphs
• s-channel Single Top Quark Production and Decay at NNLO in QCD
• Third order QCD predictions for fiducial W-boson production
• Master Integrals for the two-loop, non-planar QCD corrections to top-quark pair production in the quark-annihilation channel
• Two-loop helicity amplitudes for $H+$jet production to higher orders in the dimensional regulator
• Next-to-Next-to-Leading Order QCD Corrections to Polarized Semi-Inclusive Deep-Inelastic Scattering
• Dijet production in diffractive deep-inelastic scattering in next-to-next-to-leading order QCD
• Bottom-induced contributions to Higgs plus jet at next-to-next-to-leading order
• Two-loop planar master integrals for the production of off-shell vector bosons in hadron collisions
• Two-Loop QCD Helicity Amplitudes for (2+1)-Jet Production in Deep Inelastic Scattering
• Recent Progress in Perturbative Quantum Field Theory
• Two-Loop QCD Correction to massive spin-2 resonance $\to$ 3 gluons
• Master integrals of a planar double-box family for top-quark pair production
• Two-loop QCD corrections to the $V\to q\bar{q}g$ helicity amplitudes with axial-vector couplings
• Planar master integrals for the two-loop light-fermion electroweak corrections to Higgs plus jet production
• Learning Feynman integrals from differential equations with neural networks
• Deciphering the Maximal Transcendentality Principle via Bootstrap
• The two-loop Higgs impact factor
• Two-loop QCD Correction to Massive Spin-2 Resonance $\to q\bar{q}g$
• Jet Physics at Two-Loop Accuracy
• QCD: Theoretical Developments
• Two-loop mixed QCD-electroweak amplitudes for $Z+$jet production at the LHC: bosonic corrections
• Two-loop amplitude for mixed QCD-EW corrections to $gg\to Hg$