Recursion relations, Helicity Amplitudes and Dimensional Regularization

Abstract

Using the method of on-shell recursion relations we compute tree level amplitudes including D-dimensional scalars and fermions. These tree level amplitudes are needed for calculations of one-loop amplitudes in QCD involving external quarks and gluons.

28 pages, 6 figures, clarifications added

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• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• 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
• MHV Vertices And Tree Amplitudes In Gauge Theory
• One-Loop Corrections to Five-Gluon Amplitudes
• Massive Loop Amplitudes from Unitarity
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• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• One-Loop Corrections to Two-Quark Three-Gluon Amplitudes
• A direct proof of the CSW rules
• 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
• Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams
• Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
• 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
• Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
• 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
• The Googly Amplitudes in Gauge Theory
• One-loop radiative corrections to the helicity amplitudes of QCD processes involving four quarks and one gluon
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• Recursive Calculation of One-Loop QCD Integral Coefficients
• One-Loop Gluon Scattering Amplitudes in Theories with $N<4$ Supersymmetries
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
• MHV-Vertices for Gravity Amplitudes
• 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
• Loops in Twistor Space
• Multi-Gluon Collinear Limits from MHV diagrams
• All Split Helicity Tree-Level Gluon Amplitudes
• Compact Formulas for Tree Amplitudes of Six Partons
• Multigluonic scattering amplitudes of heavy quarks
• Collinear Limits in QCD from MHV Rules
• Six-Quark Amplitudes from Fermionic MHV Vertices
• One-Loop Maximal Helicity Violating Amplitudes in N=4 Super Yang-Mills Theories
• Systematics of One-Loop Scattering Amplitudes in N=4 Super Yang-Mills Theories

Cited by in corpus (9)

• The Cut-Constructible Part of QCD Amplitudes
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
• On-shell recursion relations for all Born QCD amplitudes
• An Introduction to On-shell Recursion Relations
• The rational parts of one-loop QCD amplitudes I: The general formalism
• Determination of Boundary Contributions in Recursion Relation
• Massive Quark-Gluon Scattering Amplitudes at Tree Level
• On-shell recursion for massive fermion currents
• The MHV Lagrangian for a spontaneously broken gauge theory