One-loop leading logarithms in electroweak radiative corrections: II. Factorization of collinear singularities

Abstract

We discuss the evaluation of the collinear single-logarithmic contributions to virtual electroweak corrections at high energies. More precisely, we proof the factorization of the mass singularities originating from loop diagrams involving collinear virtual gauge bosons coupled to external legs. We discuss, in particular, processes involving external longitudinal gauge bosons, which are treated using the Goldstone-boson equivalence theorem. The proof of factorization is performed within the 't Hooft--Feynman gauge at one-loop order and applies to arbitrary electroweak processes that are not mass-suppressed at high energies. As basic ingredient we use Ward identities for Green functions with arbitrary external particles involving a gauge boson collinear to one of these. The Ward identities are derived from the BRS invariance of the spontaneously broken electroweak gauge theory.

28 pages, latex

Cited by in corpus (98)

• The automation of next-to-leading order electroweak calculations
• Electroweak Radiative Corrections to Neutral-Current Drell-Yan Processes at Hadron Colliders
• NNLO Computational Techniques: the Cases H -> gamma gamma and H -> g g
• Electroweak Radiative Corrections for Collider Physics
• NLO QCD+EW predictions for V+jets including off-shell vector-boson decays and multijet merging
• Weak corrections to Higgs hadroproduction in association with a top-quark pair
• Electroweak effects in top-quark pair production at Hadron Colliders
• Vector-boson pair production at the LHC to $\mathcal{O}({\alpha }^3)$ accuracy
• Weak interaction corrections to hadronic top quark pair production
• Factorization Structure of Gauge Theory Amplitudes and Application to Hard Scattering Processes at the LHC
• Electroweak corrections to hadronic production of W bosons at large transverse momenta
• Electroweak Corrections in High Energy Processes using Effective Field Theory
• Electroweak Sudakov Corrections using Effective Field Theory
• Electroweak Splitting Functions and High Energy Showering
• Weak Boson Emission in Hadron Collider Processes
• Logarithmic electroweak corrections to gauge-boson pair production at the LHC
• Two-loop electroweak angular-dependent logarithms at high energies
• Weak radiative corrections to the Drell-Yan process for large invariant mass of a dilepton pair
• Electroweak corrections to W-boson pair production at the LHC
• Electroweak Corrections using Effective Field Theory: Applications to the LHC
• Electroweak two-loop Sudakov logarithms for on-shell fermions and bosons
• Electroweak corrections to Wγand Zγproduction at the LHC
• Two-Loop Electroweak Logarithms in Four-Fermion Processes at High Energy
• Electroweak radiative corrections in high energy processes
• An automated subtraction of NLO EW infrared divergences
• Two-Loop Sudakov Form Factor in a Theory with Mass Gap
• One-loop weak corrections to hadronic production of Z bosons at large transverse momenta
• Two-loop electroweak next-to-leading logarithmic corrections to massless fermionic processes
• Multi-jet merged top-pair production including electroweak corrections
• Weak corrections to gluon-induced top-antitop hadro-production
• The Two Loop Crossed Ladder Vertex Diagram with Two Massive Exchanges
• Logarithmic electroweak corrections to hadronic Z+1 jet production at large transverse momentum
• Electroweak-correction effects in gauge-boson pair production at the LHC
• The complete NLO corrections to dijet hadroproduction
• Electroweak Sudakov Corrections to New Physics Searches at the CERN LHC
• Electroweak corrections to large transverse momentum production of W bosons at the LHC
• Towards Collinear Evolution Equations in Electroweak Theory
• Electroweak corrections to hadronic photon production at large transverse momenta
• Next-to-leading mass singularities in two-loop electroweak singlet form factors
• Electroweak Evolution Equations
• Sudakov expansions at one loop and beyond for charged scalar and fermion pair production in SUSY models at future Linear Colliders
• Two-Loop Electroweak Logarithms
• Weak corrections to four-parton processes
• Next-to-Next-to-Leading Electroweak Logarithms for W-Pair Production at LHC
• Electroweak Sudakov Logarithms and Real Gauge-Boson Radiation in the TeV Region
• Anomalous triple-gauge-boson interactions in vector-boson pair production with RECOLA2
• Electroweak Logarithms in Inclusive Cross Sections
• Study of weak corrections to Drell-Yan, top-quark pair and dijet Production at high energies with MCFM
• Non-cancellation of electroweak logarithms in high-energy scattering
• Learning from Radiation at a Very High Energy Lepton Collider
• NLO QCD+NLO EW corrections to diboson production matched to parton shower
• The two-loop vector form factor in the Sudakov limit
• Soft and Collinear Functions for the Standard Model
• An algorithm for the high-energy expansion of multi-loop diagrams to next-to-leading logarithmic accuracy
• One-loop electroweak Sudakov logarithms: a revisitation and automation
• Electroweak corrections and anomalous triple gauge-boson couplings in WW and WZ production at the LHC
• Standard Model Fragmentation Functions at Very High Energies
• Logarithmic electroweak corrections to e+ e- -> nue anti-nue W+ W-
• The processes $e^{-}{e}^{+}\to \gamma \gamma ,Z\gamma ,ZZ$ in SM and MSSM
• NLO Electroweak Corrections to Multi-Boson Processes at a Muon Collider
• Collinear Electroweak Radiation in Antenna Parton Showers
• One-loop weak corrections to the $b\bar{b}$ cross section at TeV energy hadron colliders
• About helicity conservation in gauge boson scattering at high energy
• Automation of electroweak corrections for LHC processes
• Radiative Corrections to Longitudinal and Transverse Gauge Boson and Higgs Production
• Higher-order EW corrections in ZZ and ZZj production at the LHC
• Automated evaluation of electroweak Sudakov logarithms in Sherpa
• Goldstone Equivalence and High Energy Electroweak Physics
• A study of multi-jet production in association with an electroweak vector boson
• Sudakov Electroweak effects in transversely polarized beams
• Combining initial-state resummation with fixed-order calculations of electroweak corrections
• Resummation of electroweak Sudakov logarithms for real radiation
• Charged Higgs Production in the 1 TeV Domain as a Probe of Supersymmetric Models
• Electroweak Higgs production with HiggsPO at NLO QCD
• Finite calculation of divergent selfenergy diagrams
• Vector Bosons and Jets in Proton Collisions
• Neutralino pair production at CERN LHC
• Weak Corrections to Three-Jet Production in Electron-Positron Annihilations: 1) The Factorisable Contributions
• NLO QCD and electroweak corrections to $ZZ+\mathrm{jet}$ production with $Z$-boson leptonic decays at LHC
• Two-loop electroweak corrections to high energy large-angle Bhabha scattering
• EW corrections and Heavy Boson Radiation at a high-energy muon collider
• Logarithmic EW corrections at one-loop
• On electroweak corrections to neutral current Drell-Yan with the POWHEG BOX
• Two-loop electroweak corrections at high energies
• $WW\gamma$ production at hadron colliders with NLO QCD+EW corrections and parton shower effects
• Single Neutralino production at CERN LHC
• Weak effects in b-jet production at hadron colliders
• Factorization of Standard Model cross sections at ultra high energy
• $ZZ\gamma$ production in the NLO QCD+EW accuracy at the LHC
• Precision phenomenology at multi-TeV muon colliders
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Electroweak radiative corrections and unitarity of Standard Model
• Monte Carlo Event Generators
• eeγproduction at photon-photon colliders at complete electroweak NLO accuracy
• Fermionic Electroweak Two-Loop Corrections to Drell-Yan and Related Processes
• Supersymmetric Sudakov corrections
• UFO 2.0 -- The Universal Feynman Output format
• An EFT study of the $pp\to \bar{t}tZ(ll)h(bb)$ process at the FCC-$\mathbf{hh}$