Recursion Relations for Tree Amplitudes in Super Gauge Theories

Abstract

Using newly proposed BCF/BCFW recursion relations, compact formulas are obtained for tree-level n-gluon amplitudes of helicity structure --++...+. We then make an extension of these recursion relations to include fermions of multi-flavors, from which MHV and \bar{MHV} amplitudes are reproduced. We also calculate non-MHV amplitudes of processes with two fermions and four gluons. Results thus obtained are equivalent to those obtained by extended CSW prescriptions, and those by conventional field theory calculations.

Minor changes. Published version

References in corpus (21)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Recursion Relations for Tree Amplitudes of Gluons
• Multi-Parton Amplitudes in Gauge Theories
• MHV Vertices And Tree Amplitudes In Gauge Theory
• On the Tree-Level S-Matrix of Yang-Mills Theory
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• 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
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• A Googly Amplitude from the B-model in Twistor Space
• MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos
• Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
• Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
• All Next-to-Maximally-Helicity-Violating One-Loop Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• The Googly Amplitudes in Gauge Theory
• Dissolving N=4 loop amplitudes into QCD tree amplitudes
• Loops in Twistor Space
• Holomorphic Anomaly Of Unitarity Cuts And One-Loop Gauge Theory Amplitudes
• All Googly Amplitudes from the B-model in Twistor Space
• Systematics of One-Loop Scattering Amplitudes in N=4 Super Yang-Mills Theories

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