Amplitudes and Spinor-Helicity in Six Dimensions

By C. Cheung, D. O’Connell. 2009

192 citations recorded by the source corpus.

The spinor-helicity formalism has become an invaluable tool for understanding the S-matrix of massless particles in four dimensions. In this paper we construct a spinor-helicity formalism in six dimensions, and apply it to derive compact expressions for the three, four and five point tree amplitudes of Yang-Mills theory. Using the KLT relations, it is a straightforward process to obtain amplitudes in linearized gravity from these Yang-Mills amplitudes; we demonstrate this by writing down the gravitational three and four point amplitudes. Because there is no conserved helicity in six dimensions, these amplitudes describe the scattering of all possible polarization states (as well as Kaluza-Klein excitations) in four dimensions upon dimensional reduction. We also briefly discuss a convenient formulation of the BCFW recursion relations in higher dimensions.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/2a20750d5c35e4504aa04ea7e48e02b361b23fb7

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Citations in the corpus

Loop amplitudes in gauge theories: modern analytic approaches (2010, background): “Higher-dimensional spinor formalisms have been explored [118, 119, 120, 121, 122] but still need further attention.”
Scattering Amplitudes and the Positive Grassmannian (2012, background): “What happens in higher dimensions? The description of the external kinematical data in six dimensions is particularly simple [169].”
Symmetries of Tree-level Scattering Amplitudes in N = 6 Superconformal Chern{Simons Theory (2010, background): “ connected to the existence of superconformal symmetry in that dimension, cf. Table 1. For the six-dimensional case the spinor-helicity formalism has been recently applied to scattering amplitudes in [27]. Kinematical Invariants. In terms of momentum spinors, two-particle Lorentz invariants can be c”