One-loop Amplitudes in Six-Dimensional (1,1) Theories from Generalised Unitarity

Abstract

Recently, the spinor helicity formalism and on-shell superspace were developed for six-dimensional gauge theories with (1,1) supersymmetry. We combine these two techniques with (generalised) unitarity, which is a powerful technique to calculate scattering amplitudes in any massless theory. As an application we calculate one-loop superamplitudes with four and five external particles in the (1,1) theory and perform several consistency checks on our results.

40 pages, 7 figures

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Cited by in corpus (26)

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• One-loop four-point amplitudes in pure and matter-coupled N <= 4 supergravity
• Loop amplitudes in gauge theories: modern analytic approaches
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• Massive amplitudes on the Coulomb branch of N=4 SYM
• Simple superamplitudes in higher dimensions
• On-shell superamplitudes in N<4 SYM
• Conformal Field Theories in Six-Dimensional Twistor Space
• Exploring soft constraints on effective actions
• Little String Amplitudes (and the Unreasonable Effectiveness of 6D SYM)
• The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
• Amplitudes for Multiple M5 Branes
• M5-Brane and D-Brane Scattering Amplitudes
• Exact coefficients for higher dimensional operators with sixteen supersymmetries
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• Three particle superstring amplitudes with massive legs
• Integrands for QCD rational terms and N=4 SYM from massive CSW rules
• On the amplitudes in N=(1,1) D=6 SYM
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• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• A Twistor Description of Six-Dimensional N=(1,1) Super Yang-Mills Theory
• On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories
• CHY formulae in 4d
• Instantons on the six-sphere and twistors
• One-loop divergences in the six-dimensional $\mathcal{N}=(1,0)$ hypermultiplet self-coupling model
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory