Dissolving N=4 loop amplitudes into QCD tree amplitudes

Abstract

We use the infrared consistency of one-loop amplitudes in N=4 Yang-Mills theory to derive a compact analytic formula for a tree-level NNMHV gluon scattering amplitude in QCD, the first such formula known. We argue that the IR conditions, coupled with recent advances in calculating one-loop box coefficients, can give a new tool for computing tree-level amplitudes in general. Our calculation suggests that many amplitudes have a structure which is even simpler than that revealed so far by current twistor-space constructions.

9 pages, revtex4. v2: minor changes, typo in (1) corrected

References in corpus (10)

• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• MHV Rules for Higgs Plus Multi-Gluon Amplitudes
• 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 Recursive Formulation of Gauge-Theory Amplitudes
• 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
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• N=1 Supersymmetric One-loop Amplitudes and the Holomorphic Anomaly of Unitarity Cuts
• One-Loop Maximal Helicity Violating Amplitudes in N=4 Super Yang-Mills Theories

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• Dual Superconformal Invariance, Momentum Twistors and Grassmannians
• On-Shell Methods in Perturbative QCD
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• The No-Triangle Hypothesis for N=8 Supergravity
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• Recursive Calculation of One-Loop QCD Integral Coefficients
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
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• A comparison of efficient methods for the computation of Born gluon amplitudes
• An Introduction to On-shell Recursion Relations
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• Structure of the MHV-rules Lagrangian
• Unraveling L_{n,k}: Grassmannian Kinematics
• MHV Techniques for QED Processes
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• Direct reduction of multiloop multiscale scattering amplitudes
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• Gluon Tree Amplitudes in Open Twistor String Theory
• All one-loop amplitudes in N=6 superconformal Chern-Simons theory
• Dual-Conformal Regularization of Infrared Loop Divergences and the Chiral Box Expansion
• General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory
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• A Celestial Description of Planar Super-Yang-Mills Theory
• On the Integrable Structure of Super Yang-Mills Scattering Amplitudes