Two-loop electroweak angular-dependent logarithms at high energies

Abstract

We present results on the two-loop leading and angular-dependent next-to-leading logarithmic virtual corrections to arbitrary processes at energies above the electroweak scale. In the `t Hooft-Feynman gauge the relevant Feynman diagrams involving soft and collinear gauge bosons γ, Z, W^\pm coupling to external legs are evaluated in the eikonal approximation in the region where all kinematical invariants are much larger than the electroweak scale. The logarithmic mass singularities are extracted from massive multi-scale loop integrals using the Sudakov method and alternatively the sector-decomposition method in the Feynman-parameter representation. The derivations are performed within the spontaneously broken phase of the electroweak theory, and the two-loop results are in agreement with the exponentiation prescriptions that have been proposed in the literature based on a symmetric SU(2) x U(1) theory matched with QED at the electroweak scale.

31 pages, LaTeX

References in corpus (38)

• An automatized algorithm to compute infrared divergent multi-loop integrals
• TESLA Technical Design Report Part III: Physics at an e+e- Linear Collider
• Physics with e^+e^- Linear Colliders
• One-loop leading logarithms in electroweak radiative corrections, I. Results
• Resummation of double logarithms in electroweak high energy processes
• Sudakov Effects in Electroweak Corrections
• Bloch-Nordsieck violating electroweak corrections to inclusive TeV scale hard processes
• Summing up Subleading Sudakov Logarithms
• One-loop leading logarithms in electroweak radiative corrections: II. Factorization of collinear singularities
• High-Energy Approximation of One-Loop Feynman Integrals
• Next-to-Next-to-Leading Logarithms in Four-Fermion Electroweak Processes at High Energy
• Radiative Corrections to W^+W^- \to W^+W^- in the Electroweak Standard Model
• Electroweak two-loop Sudakov logarithms for on-shell fermions and bosons
• Electroweak Sudakov at two loop level
• Electroweak Bloch-Nordsieck violation at the TeV scale: "strong" weak interactions ?
• Electroweak radiative corrections in high energy processes
• Electroweak-correction effects in gauge-boson pair production at the LHC
• Radiative Corrections to ZZ->ZZ in the Electroweak Standard Model
• Subleading Sudakov logarithms in electroweak high energy processes to all orders
• Logarithmic expansion of electroweak corrections to four-fermion processes in the TeV region
• Radiative Corrections to $\gamma \gamma \to W^{+}{W}^{-}$ in the Electroweak Standard Model
• Top quark production at future lepton colliders in the asymptotic regime
• Electroweak double logarithms in inclusive observables for a generic initial state
• Rising Bosonic Electroweak Virtual Effects at High Energy e+e- Colliders
• Bloch-Nordsieck Violation in Spontaneously Broken Abelian Theories
• Resummation of angular dependent corrections in spontaneously broken gauge theories
• Resummation of Yukawa enhanced and subleading Sudakov logarithms in longitudinal gauge boson and Higgs production
• New Insights into the Perturbative Structure of Electroweak Sudakov Logarithms
• The role of the top mass in b-production at future lepton colliders
• Enhanced Electroweak Corrections to Inclusive Boson Fusion Processes at the TeV Scale
• Mass gap effects and higher order electroweak Sudakov logarithms
• Higgs studies in ACFA Linear Collider Working Group
• The role of universal and non universal Sudakov logarithms in four fermion processes at TeV energies: the one-loop approximation revisited
• Logarithmic SUSY electroweak effects on four-fermion processes at TeV energies
• Electroweak renormalization group corrections in high energy processes
• SUSY Scalar Production in the Electroweak Sudakov Regime of Lepton Colliders
• Top Quark Production at TeV Energies as a Potential SUSY Detector
• High energy behaviour of gamma gamma to f f(bar) processes in SM and MSSM

Cited by in corpus (67)

• NNLO Computational Techniques: the Cases H -> gamma gamma and H -> g g
• Numerical evaluation of multi-loop integrals by sector decomposition
• Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report
• Electroweak Radiative Corrections for Collider Physics
• Radiative corrections to the neutral-current Drell-Yan process in the Standard Model and its minimal supersymmetric extension
• FIESTA 2: parallelizeable multiloop numerical calculations
• Vector-boson pair production at the LHC to $\mathcal{O}({\alpha }^3)$ accuracy
• Weak radiative corrections to dijet production at hadron colliders
• Electroweak corrections to W + jet hadroproduction including leptonic W-boson decays
• Electroweak corrections to dilepton + jet production at hadron colliders
• 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 corrections to W-boson pair production at the LHC
• Electroweak Corrections using Effective Field Theory: Applications to the LHC
• Two-Loop Electroweak Logarithms in Four-Fermion Processes at High Energy
• 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
• Weak corrections to gluon-induced top-antitop hadro-production
• Logarithmic electroweak corrections to hadronic Z+1 jet production at large transverse momentum
• Electroweak Sudakov Corrections to New Physics Searches at the CERN LHC
• Electroweak corrections to large transverse momentum production of W bosons at the LHC
• Electroweak corrections to hadronic photon production at large transverse momenta
• Measuring collinear W emissions inside jets
• Next-to-leading order electroweak corrections to pp -> W+W- -> 4 leptons at the LHC in double-pole approximation
• Next-to-leading mass singularities in two-loop electroweak singlet form factors
• Electroweak corrections to monojet production at the Tevatron and the LHC
• Electroweak Evolution Equations
• Two-Loop Electroweak Logarithms
• Disentangling radiative corrections using high-mass Drell-Yan at the LHC
• 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
• Study of weak corrections to Drell-Yan, top-quark pair and dijet Production at high energies with MCFM
• The Importance of Weak Bosons Emission at LHC
• Non-cancellation of electroweak logarithms in high-energy scattering
• Radiative corrections to W-boson hadroproduction: higher-order electroweak and supersymmetric effects
• Two-Loop Vertices in Quantum Field Theory: Infrared Convergent Scalar Configurations
• The two-loop vector form factor in the Sudakov limit
• Soft and Collinear Functions for the Standard Model
• One-loop electroweak Sudakov logarithms: a revisitation and automation
• An algorithm for the high-energy expansion of multi-loop diagrams to next-to-leading logarithmic accuracy
• Standard Model Fragmentation Functions at Very High Energies
• Logarithmic electroweak corrections to e+ e- -> nue anti-nue W+ W-
• Two-Loop Vertices in Quantum Field Theory: Infrared and Collinear Divergent Configurations
• Weak corrections and high $E_T$ jets at Tevatron
• Radiative Corrections to Longitudinal and Transverse Gauge Boson and Higgs Production
• Next-to-Next-to-Leading Electroweak Logarithms in W-pair Production at ILC
• 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
• New Approach to Parton Shower MC's for Precision QCD Theory: HERWIRI1.0(31)
• HERWIRI1.0: MC Realization of IR-Improved DGLAP-CS Parton Showers
• 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
• MC Realization of IR-Improved DGLAP-CS Parton Showers: HERWIRI1.0
• Off-shell scattering amplitudes in the double-logarithmic approximation
• Supersymmetric structure of electroweak Sudakov corrections
• Electroweak 2 -> 2 amplitudes for electron-positron annihilation at TeV energies
• Yukawa enhanced electroweak corrections at high energy in the MSSM
• Probing the Dark Matter of Three-loop Radiative Neutrino Mass Generation Model with the Cherenkov Telescope Array
• Electroweak radiative corrections and unitarity of Standard Model
• Monte Carlo Event Generators for Future Lepton Colliders