Rigorous bounds on light-by-light scattering. (English) Zbl 1522.81691
Summary: We bound EFT coefficients appearing in \(2\rightarrow2\) 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.
MSC:
| 81U20 | \(S\)-matrix theory, etc. in quantum theory |
| 81T12 | Effective quantum field theories |
| 81U05 | \(2\)-body potential quantum scattering theory |
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 81T10 | Model quantum field theories |
Software:
SDPBReferences:
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