2017/06/30 by Claudia de Rham, Scott Melville, Andrew J. Tolley +1 · 4 citations
Physics and Astronomy · #Crossing #Formalism (music) #Forward scatter #Limit (mathematics) #Noncommutative and Quantum Gravity Theories #Parameter space #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Scattering #Scattering amplitude #Scattering theory #Spin (aerodynamics) #gr-qc #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep03(2018)011
29 pages + 6 appendices, 3 figures
openalex created_date 2017/06/23 · arxiv created 2017/08/15 · openalex publication_date 2018/03/01 · arxiv updated 2018/04/04 · openalex updated_date 2026/08/05
A bstract For a low energy effective theory to admit a standard local, unitary, analytic and Lorentz-invariant UV completion, its scattering amplitudes must satisfy certain inequalities. While these bounds are known in the forward limit for real polarizations, any extension beyond this for particles with nonzero spin is subtle due to their non-trivial crossing relations. Using the transversity formalism (i.e. spin projections orthogonal to the scattering plane), in which the crossing relations become diagonal, these inequalities can be derived for 2-to-2 scattering between any pair of massive particles, for a complete set of polarizations at and away from the forward scattering limit. This provides a set of powerful criteria which can be used to restrict the parameter space of any effective field theory, often considerably more so than its forward limit subset alone.