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 4 of the massive little group, SO(5) ∼ 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.
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ArXiv ePrint: 1810.11803
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Jha, R., Krishnan, C. & Pavan Kumar, K.V. Massive scattering amplitudes in six dimensions. J. High Energ. Phys. 2019, 198 (2019). https://doi.org/10.1007/JHEP03(2019)198
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DOI: https://doi.org/10.1007/JHEP03(2019)198