An analytical toolkit for the S-matrix bootstrap

Miguel Correia, Amit Sever, Alexander Zhiboedov

Research output: Contribution to journalArticlepeer-review

Abstract

We revisit analytical methods for constraining the nonperturbative S-matrix of unitary, relativistic, gapped theories in d≥ 3 spacetime dimensions. We assume extended analyticity of the two-to-two scattering amplitude and use it together with elastic unitarity to develop two natural expansions of the amplitude. One is the threshold (non-relativistic) expansion and the other is the large spin expansion. The two are related by the Froissart-Gribov inversion formula. When combined with crossing and a local bound on the discontinuity of the amplitude, this allows us to constrain scattering at finite energy and spin in terms of the low-energy parameters measured in the experiment. Finally, we discuss the modern numerical approach to the S-matrix bootstrap and how it can be improved based on the results of our analysis.

Original languageEnglish
Article number13
JournalJournal of High Energy Physics
Volume2021
Issue number3
DOIs
StatePublished - Mar 2021

Keywords

  • Nonperturbative Effects
  • Scattering Amplitudes
  • Space-Time Symmetries

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