The Four Dimensional Helicity Scheme Beyond One Loop

Abstract

I describe a procedure by which one can transform scattering amplitudes computed in the four dimensional helicity scheme into properly renormalized amplitudes in the 't Hooft-Veltman scheme. I describe a new renormalization program, based upon that of the dimensional reduction scheme and explain how to remove both finite and infrared-singular contributions of the evanescent degrees of freedom to the scattering amplitude.

20 pages

References in corpus (9)

• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Using Dimensional Reduction for Hadronic Collisions
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• Dimensional Reduction applied to QCD at three loops
• Regularization Schemes and Higher Order Corrections
• The four-dimensional helicity scheme and dimensional reconstruction

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• Muon-electron scattering at NNLO
• Squark production in R-symmetric SUSY with Dirac gluinos: NLO corrections
• Two-loop off-shell QCD amplitudes in FDR
• Three-loop MSSM Higgs-Boson Mass Predictions and Regularization by Dimensional Reduction
• The Infrared Structure of QCD Amplitudes and $H\to gg$ in FDH and DRED
• Two-Loop Rational Terms in Yang-Mills Theories
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• Regularization-scheme dependence of QCD amplitudes in the massive case
• Two-loop renormalisation of gauge theories in $4D$ Implicit Regularisation and connections to dimensional methods
• Renormalisation Group Equations for BRST-Restored Chiral Theory in Dimensional Renormalisation: Application to Two-Loop Chiral-QED
• On the Dimensional Regularization of QCD Helicity Amplitudes With Quarks
• Infrared Subtleties and Chiral Vertices at NLO: An Implicit Regularization Analysis
• Disperon QED
• Dimensional schemes for cross sections at NNLO
• Two-Loop Rational Terms for Spontaneously Broken Theories