Scientific article
OA Policy
English

IR side of positivity bounds

Published inPhysical review. D, vol. 106, no. 10, 105008
Publication date2022
First online date2022-11-10
Abstract

We show how calculable IR loop effects impact positivity bounds in Effective Field Theories with causal and unitary UV completions. We identify infrared singularities which appear in dispersion relations at $|t|\lesssim m^2$. In the massless limit, they weaken two-sided bounds based on crossing symmetry, such as the lower bound on the amplitude for Galileon scattering. For amplitudes that are analytic in $s$ even for large negative $t$, i.e. $|t|\gg m^2$, we propose a new simple analytic approach to dispersive bounds, which are instead insensitive to the singularities, and explicitly compute the finite contributions from loops. Finally we show that the singularity do not affect the bounds based on smearing in impact parameter.

Keywords
  • Symmetry: crossing
  • Singularity: infrared
  • Causality
  • Unitarity
  • Scattering
  • Dispersion relation
  • Dispersion
  • Galileon
  • Effective field theory
  • Analytic properties
  • Symmetry, crossing
  • Singularity, infrared
  • Impact parameter
Citation (ISO format)
BELLAZZINI, Brando, RIEMBAU, Marc, RIVA, Francesco. IR side of positivity bounds. In: Physical review. D, 2022, vol. 106, n° 10, p. 105008. doi: 10.1103/physrevd.106.105008
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Article (Published version)
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Additional URL for this publicationhttps://link.aps.org/doi/10.1103/PhysRevD.106.105008
Journal ISSN2470-0010
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