Massive Scattering Amplitudes in Six Dimensions

Abstract

We show that a natural spinor-helicity formalism that can describe massive scattering amplitudes exists in $D=6$ dimensions. This is arranged by having helicity spinors carry an index in the Dirac spinor {\bf 4} of the massive little group, $SO(5)\sim Sp(4)$. In the high energy limit, two separate kinds of massless helicity spinors emerge as required for consistency with arXiv:0902.0981, with indices in the two $SU(2)$'s of the massless little group $SO(4)$. The tensors of $4$ lead to particles with arbitrary spin, and using these and demanding consistent factorization, we can fix $3-$ and $4-$point tree amplitudes of arbitrary masses and spins: we provide examples. We discuss the high energy limit of scattering amplitudes and the Higgs mechanism in this language, and make some preliminary observations about massive BCFW recursion.

arXiv comment37 pages; v2: minor improvements, JHEP version

References in corpus (8)

• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Recursion Relations for Gauge Theory Amplitudes with Massive Particles
• Amplitudes and Spinor-Helicity in Six Dimensions
• Generalized Unitarity and Six-Dimensional Helicity
• Supertwistor space for 6D maximal super Yang-Mills
• BCFW Recursion Relation with Nonzero Boundary Contribution
• Simple superamplitudes in higher dimensions
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Cited by in corpus (5)

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• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• Classification of all 3 particle S-matrices quadratic in photons or gravitons
• Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory