N=4 SYM NMHV Loop Amplitude in Superspace

Abstract

Here we construct N=4 SuperYang-Mills 6 point NMHV loop amplitude (amplitudes with three minus helicities) as a full superspace form, using the $SU(4{)}_R$ anti-commuting spinor variables. Amplitudes with different external particle and cyclic helicity ordering are then just a particular expansion of this fermionic variable. We've verified this by explicit expansion obtaining amplitudes with two gluino calculated before. We give results for all gluino $A({\Lambda }^{-}{\Lambda }^{-}{\Lambda }^{-}{\Lambda }^{+}{\Lambda }^{+}{\Lambda }^{+})$and all scalar $A(\varphi \varphi \varphi \varphi \varphi \varphi )$scattering amplitude. A discussion of using MHV vertex approach to obtain these amplitudes are given, which implies a simplification for general loop amplitudes.

14 pages, 2 figures: new reference and comments added

References in corpus (10)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• New Recursion Relations for Tree Amplitudes of Gluons
• One-Loop Gauge Theory Amplitudes in N=4 Super Yang-Mills from MHV Vertices
• All Non-Maximally-Helicity-Violating One-Loop Seven-Gluon Amplitudes in N=4 Super-Yang-Mills Theory
• Non-MHV Tree Amplitudes in Gauge Theory
• MHV Vertices and Fermionic Scattering Amplitudes in Gauge Theory with Quarks and Gluinos
• All Split Helicity Tree-Level Gluon Amplitudes
• MHV Vertices and Scattering Amplitudes in Gauge Theory
• 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 (15)

• Dual superconformal symmetry of scattering amplitudes in N=4 super-Yang-Mills theory
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• The Cut-Constructible Part of QCD Amplitudes
• The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
• Basics of Generalized Unitarity
• Generalized unitarity for N=4 super-amplitudes
• Generic multiloop methods and application to N=4 super-Yang-Mills
• From Trees to Loops and Back
• On the Structure of Supersymmetric Sums in Multi-Loop Unitarity Cuts
• The rational parts of one-loop QCD amplitudes I: The general formalism
• The Six-Point NMHV amplitude in Maximally Supersymmetric Yang-Mills Theory
• One-Loop NMHV Amplitudes involving Gluinos and Scalars in N=4 Gauge Theory
• One-Loop N = 4 Super Yang-Mills Scattering Amplitudes to All Orders in the Dimensional Regularization Parameter
• Supersums for all supersymmetric amplitudes
• Bilocal phase operators in beta-deformed super Yang-Mills