Softness and amplitudes' positivity for spinning particles
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Publication:1692789
DOI10.1007/JHEP02(2017)034zbMATH Open1377.81219arXiv1605.06111MaRDI QIDQ1692789
Author name not available (Why is that?)
Publication date: 10 January 2018
Published in: (Search for Journal in Brave)
Abstract: We derive positivity bounds for scattering amplitudes of particles with arbitrary spin using unitarity, analyticity and crossing symmetry. The bounds imply the positivity of certain low-energy coefficients of the effective action that controls the dynamics of the light degrees of freedom. We show that low-energy amplitudes strictly softer than do not admit unitary ultraviolet completions unless the theory is free. This enforces a bound on the energy growth of scattering amplitudes in the region of validity of the effective theory. We discuss explicit examples including the Goldstino from spontaneous supersymmetry breaking, and the theory of a spin-1/2 fermion with a shift symmetry.
Full work available at URL: https://arxiv.org/abs/1605.06111
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