One-Loop MHV Amplitudes in Supersymmetric Gauge Theories

Abstract

Using CSW rules for constructing scalar Feynman diagrams from MHV vertices, we compute the contribution of $\mathcal{N}=1$ chiral multiplet to one-loop MHV gluon amplitude. The result agrees with the one obtained previously using unitarity-based methods, thereby demonstrating the validity of the MHV-diagram technique, in the case of one-loop MHV amplitudes, for all massless supersymmetric theories.

20 pages, 5 figures

References in corpus (29)

• Perturbative Gauge Theory As A String Theory In Twistor Space
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• MHV Vertices And Tree Amplitudes In Gauge Theory
• On the Tree-Level S-Matrix of Yang-Mills Theory
• An Alternative String Theory in Twistor Space for N=4 Super-Yang-Mills
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• Conformal Supergravity in Twistor-String Theory
• Tree Amplitudes in Gauge Theory as Scalar MHV Diagrams
• Gauge Theory Amplitudes In Twistor Space And Holomorphic Anomaly
• 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
• A Googly Amplitude from the B-model in Twistor Space
• Non-MHV Tree Amplitudes in Gauge Theory
• MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos
• Twistor-Space Recursive Formulation of Gauge-Theory Amplitudes
• Computing One-Loop Amplitudes From The Holomorphic Anomaly Of Unitarity Cuts
• Next-to-Maximal Helicity Violating Amplitudes in Gauge Theory
• The Googly Amplitudes in Gauge Theory
• Cubic Twistorial String Field Theory
• N=2 strings and the twistorial Calabi-Yau
• 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
• Untwisting the twistor superstring
• Multigluon amplitudes, $\mathcal{N}=4$ constraints and the WZW model
• Six-Quark Amplitudes from Fermionic MHV Vertices
• One-Loop Maximal Helicity Violating Amplitudes in N=4 Super Yang-Mills Theories
• Equivalence of twistor prescriptions for super Yang-Mills
• Gauge Theory Amplitudes, Scalar Graphs and Twistor Space

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• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Iteration of Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory at Three Loops and Beyond
• Direct extraction of one-loop integral coefficients
• MHV Rules for Higgs Plus Multi-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
• Bootstrapping Multi-Parton Loop Amplitudes in QCD
• The Cut-Constructible Part of QCD Amplitudes
• Bootstrapping One-Loop QCD Amplitudes with General Helicities
• Non-Supersymmetric Loop Amplitudes and MHV Vertices
• Loop Amplitudes in Pure Yang-Mills from Generalised Unitarity
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• The Last of the Finite Loop Amplitudes in QCD
• 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
• Inherited Twistor-Space Structure of Gravity Loop Amplitudes
• The No-Triangle Hypothesis for N=8 Supergravity
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• Two-Loop Amplitudes of Gluons and Octa-Cuts in N=4 Super Yang-Mills
• Recursive Calculation of One-Loop QCD Integral Coefficients
• Loop amplitudes in gauge theories: modern analytic approaches
• MHV-Vertices for Gravity Amplitudes
• Dissolving N=4 loop amplitudes into QCD tree amplitudes
• MHV Rules for Higgs Plus Multi-Parton Amplitudes
• Multi-Gluon Collinear Limits from MHV diagrams
• All One-loop Maximally Helicity Violating Gluonic Amplitudes in QCD
• From Yang-Mills Lagrangian to MHV Diagrams
• From Trees to Loops and Back
• Six-Point One-Loop N=8 Supergravity NMHV Amplitudes and their IR behaviour
• Amplitudes in the beta-deformed Conformal Yang-Mills
• Recursive Construction of Higgs-Plus-Multiparton Loop Amplitudes: The Last of the Phi-nite Loop Amplitudes
• Scalar diagrammatic rules for Born amplitudes in QCD
• A comparison of efficient methods for the computation of Born gluon amplitudes
• The rational parts of one-loop QCD amplitudes I: The general formalism
• Structure of the MHV-rules Lagrangian
• MHV Techniques for QED Processes
• A First Course on Twistors, Integrability and Gluon Scattering Amplitudes
• Amplitudes in Pure Yang-Mills and MHV Diagrams
• Collinear Limits in QCD from MHV Rules
• Supersymmetric Ward Identities and NMHV Amplitudes involving Gluinos
• Tree-Level Formalism
• The rational parts of one-loop QCD amplitudes III: The six-gluon case
• One-Loop Gluonic Amplitudes from Single Unitarity Cuts
• Orbifolding the Twistor String
• MHV Lagrangian for N=4 Super Yang-Mills
• S-Matrix Equivalence Theorem Evasion and Dimensional Regularisation with the Canonical MHV Lagrangian
• The rational parts of one-loop QCD amplitudes II: The five-gluon case
• One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory
• MHV Diagrams from an All-Line Recursion Relation
• Unitarity Method with Spurious Pole
• Multi-soft theorems in Gauge Theory from MHV Diagrams
• One-loop N=8 Supergravity Amplitudes from MHV Diagrams
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
• Twistor-inspired construction of massive quark amplitudes
• (Non)-supersymmetric Marginal Deformations from Twistor String Theory
• Recursion relations, Helicity Amplitudes and Dimensional Regularization
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
• A Note on Dual MHV Diagrams in N=4 SYM
• Gauged Linear Sigma Model on Supermanifold
• Twistor Strings with Flavour
• Perturbative Gravity and Twistor Space
• Recursive Approach to One-loop QCD Matrix Elements
• Exploiting Twistor Techniques for One-loop QCD Amplitudes
• Generating MHV super-vertices in light-cone gauge
• The MHV lagrangian vertices and the Parke-Taylor formula
• MHV Lagrangians for Yang--Mills and QCD
• Holonomies of gauge fields in twistor space 4: functional MHV rules and one-loop amplitudes
• S-matrix equivalence restored
• Recursive relations for a quiver gauge theory
• On perturbative field theory and twistor string theory
• Cachazo-Svrcek-Witten Rules for Tree-Level Gluonic Amplitudes Revisited
• Adding flavour to twistor strings
• (0,2) Gauged Linear Sigma Model on Supermanifold