MHV Techniques for QED Processes

Abstract

Significant progress has been made in the past year in developing new `MHV' techniques for calculating multiparticle scattering amplitudes in Yang-Mills gauge theories. Most of the work so far has focussed on applications to Quantum Chromodynamics, both at tree and one-loop level. We show how such techniques can also be applied to abelian theories such as QED, by studying the simplest tree-level multiparticle process, e^+e^- to n γ. We compare explicit results for up to n=5 photons using both the Cachazo, Svrcek and Witten `MHV rules' and the related Britto-Cachazo-Feng `recursion relation' approaches with those using traditional spinor techniques.

19 pages, 10 figures. References added

References in corpus (36)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Recursion Relations for Tree Amplitudes of Gluons
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Multi-Parton Amplitudes in Gauge Theories
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• On-Shell Recurrence Relations for One-Loop QCD Amplitudes
• One-Loop Amplitudes Of Gluons In SQCD
• Bootstrapping Multi-Parton Loop Amplitudes in QCD
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Non-Supersymmetric Loop Amplitudes and MHV Vertices
• Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
• Non-MHV Tree Amplitudes in Gauge Theory
• The Last of the Finite Loop Amplitudes in QCD
• Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
• A Twistor Approach to One-Loop Amplitudes in N=1 Supersymmetric Yang-Mills Theory
• All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• Recursive Calculation of One-Loop QCD Integral Coefficients
• Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
• One-Loop Gluon Scattering Amplitudes in Theories with $N<4$ Supersymmetries
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
• N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
• Dissolving N=4 loop amplitudes into QCD tree amplitudes
• MHV Rules for Higgs Plus Multi-Parton Amplitudes
• Twistor-Inspired Construction of Electroweak Vector Boson Currents
• Multi-Gluon Collinear Limits from MHV diagrams
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• All-Multiplicity Amplitudes with Massive Scalars
• Compact Formulas for Tree Amplitudes of Six Partons
• Twistor Space Structure of the Box Coefficients of N=1 One-loop Amplitudes
• Collinear Limits in QCD from MHV Rules
• One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory

Cited by in corpus (25)

• On-Shell Methods in Perturbative QCD
• Double Parton Scattering Singularity in One-Loop Integrals
• Color-dressed recursive relations for multi-parton amplitudes
• All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
• From Yang-Mills Lagrangian to MHV Diagrams
• From Trees to Loops and Back
• On-shell recursion relations for all Born QCD amplitudes
• Six-Photon Amplitudes
• Simplicity in the Structure of QED and Gravity Amplitudes
• Asymptotic charges in massless QED revisited: A view from Spatial Infinity
• Scattering amplitudes with massive fermions using BCFW recursion
• Tree-Level Formalism
• Worldline master formulas for the dressed electron propagator, part 2: On-shell amplitudes
• Seven parton amplitudes from recursion relations
• Compact QED Tree-Level Amplitudes From Dressed BCFW Recursion Relations
• Recursive Relations For Processes With n Photons Of Noncommutative QED
• The last of the seven-parton tree amplitudes
• MHV Lagrangians for Yang--Mills and QCD
• A Note on Loop Amplitudes in QED
• Amplitudes With Different Helicity Configurations Of Noncommutative QED
• QED amplitudes: recurrence relations to all orders
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited
• Recursive structures in string field theory
• Shifts in BCFW method for QED
• Helicity Constraints To Soft Factor Of All Spin