Loops in Twistor Space

Abstract

We elucidate the one-loop twistor-space structure corresponding to momentum-space MHV diagrams. We also discuss the infrared divergences, and argue that only a limited set of MHV diagrams contain them. We show how to introduce a twistor-space regulator corresponding to dimensional regularization for the infrared-divergent diagrams. We also evaluate explicitly the `holomorphic anomaly' pointed out by Cachazo, Svrcek, and Witten, and use the result to define modified differential operators which can be used to probe the twistor-space structure of one-loop amplitudes.

21 pages, TeX. v3. missing citations added. v4. subtlety with the i εprescription clarified

References in corpus (5)

• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
• Twistor Space Structure Of One-Loop Amplitudes In Gauge Theory
• Non-MHV Tree Amplitudes in Gauge Theory
• Multigluon amplitudes, $\mathcal{N}=4$ constraints and the WZW model

Cited by in corpus (64)

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• 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
• Recursion Relations for Gauge Theory Amplitudes with Massive Vector Bosons and Fermions
• Inherited Twistor-Space Structure of Gravity Loop Amplitudes
• The No-Triangle Hypothesis for N=8 Supergravity
• One-Loop MHV Amplitudes in Supersymmetric Gauge Theories
• Recursive Calculation of One-Loop QCD Integral Coefficients
• One-Loop Superconformal and Yangian Symmetries of Scattering Amplitudes in N=4 Super Yang-Mills
• Recursion Relations for Tree Amplitudes in Super Gauge Theories
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• Optimizing the Reduction of One-Loop Amplitudes
• Symmetries and analytic properties of scattering amplitudes in N=4 SYM theory
• Multi-Gluon Collinear Limits from MHV diagrams
• Closed-Form Decomposition of One-Loop Massive Amplitudes
• All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
• Superconformal invariants for scattering amplitudes in N=4 SYM theory
• MHV Diagrams in Momentum Twistor Space
• From Trees to Loops and Back
• All Split Helicity Tree-Level Gluon Amplitudes
• SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
• On super form factors of half-BPS operators in N=4 super Yang-Mills
• Heterotic twistor-string theory
• A comparison of efficient methods for the computation of Born gluon amplitudes
• The rational parts of one-loop QCD amplitudes I: The general formalism
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• MHV diagrams in twistor space and the twistor action
• Polynomial Structures in One-Loop Amplitudes
• Marginal Deformations of N=4 SYM from Open/Closed Twistor Strings
• Tree and Loop Amplitudes in Open Twistor String Theory
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• Twistor transform of all tree amplitudes in N=4 SYM theory
• Proof of the Dual Conformal Anomaly of One-Loop Amplitudes in N=4 SYM
• Superspace formulations of the (super)twistor string
• Orbifolding the Twistor String
• Systematics of One-Loop Scattering Amplitudes in N=4 Super Yang-Mills Theories
• On the Factorisation of the Connected Prescription for Yang-Mills Amplitudes
• Twistor actions for gauge theory and gravity
• Unitarity Method with Spurious Pole
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• Twistor fishnets
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
• Gauged Linear Sigma Model on Supermanifold
• Holonomies of gauge fields in twistor space 4: functional MHV rules and one-loop amplitudes
• On perturbative field theory and twistor string theory
• Born amplitudes in QCD from scalar diagrams
• Fourier transform from momentum space to twistor space