학술논문

Rigorous bounds on light-by-light scattering
Document Type
Original Paper
Source
Journal of High Energy Physics. 2022(6)
Subject
Effective Field Theories
Scattering Amplitudes
Nonperturbative Effects
Language
English
ISSN
1029-8479
Abstract
Abstract: We bound EFT coefficients appearing in 2 → 2 photon scattering amplitudes in four dimensions. After reviewing unitarity and positivity conditions in this context, we use dispersion relations and crossing symmetry to compute sum rules and null constraints. This allows us to derive new rigorous bounds on operators with four, six, and eight derivatives, including two-sided bounds on their ratios. Comparing with a number of partial UV completions, we find that some of our bounds are saturated by the amplitudes that arise from integrating out a massive scalar or axion, while others suggest the existence of unknown amplitudes.