Soft and Collinear Functions for the Standard Model

Abstract

Radiative corrections to high energy scattering processes were given previously in terms of universal soft and collinear functions. This paper gives the collinear functions for all standard model particles, the general form of the soft function, and explicit expressions for the soft functions for fermion-fermion scattering, longitudinal and transverse gauge boson production, single W/Z production, and associated Higgs production. An interesting subtlety in the use of the Goldstone boson equivalence theorem for longitudinal W+ production is discussed.

23 pages, 12 figures. Typos fixed. Lepton collinear function plot included

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Cited by in corpus (21)

• Electroweak Sudakov Corrections and the Top Quark Forward-Backward Asymmetry
• Heavy Dark Matter Annihilation from Effective Field Theory
• Factorization and Resummation of Higgs Boson Differential Distributions in Soft-Collinear Effective Theory
• Diagrammatic Exponentiation for Products of Wilson Lines
• Resummed Photon Spectra for WIMP Annihilation
• 1-loop matching and NNLL resummation for all partonic 2 to 2 processes in QCD
• Electroweak Logarithms in Inclusive Cross Sections
• Non-cancellation of electroweak logarithms in high-energy scattering
• TeV scale Dark Matter and electroweak radiative corrections
• Learning from Radiation at a Very High Energy Lepton Collider
• The One-Loop Correction to Heavy Dark Matter Annihilation
• Electroweak Sudakov effects in W, Z and gamma production at large transverse momentum
• Higher-order EW corrections in ZZ and ZZj production at the LHC
• Threshold Hadronic Event Shapes with Effective Field Theory
• Automated evaluation of electroweak Sudakov logarithms in Sherpa
• Radiative Corrections to Longitudinal and Transverse Gauge Boson and Higgs Production
• Electroweak Radiative Corrections to Higgs Production via Vector Boson Fusion using Soft-Collinear Effective Theory
• Logarithmic EW corrections at one-loop
• Electroweak Radiative Corrections to Higgs Production via Vector Boson Fusion using SCET: Numerical Results
• Electroweak radiative corrections and unitarity of Standard Model
• Comparison of leading and next-to-leading logarithmic electroweak corrections to Higgs production