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Reverse Bootstrapping: IR lessons for UV physics

Lasma Alberte, Claudia de Rham, Sumer Jaitly, Andrew J. Tolley

Abstract

S-matrix bootstrap and positivity bounds are usually viewed as constraints on low-energy theories imposed by the requirement of a standard UV completion. By considering graviton--photon scattering in the Standard Model, we argue that the low-energy theory can be used to put constraints on the UV behaviour of the gravitational scattering amplitudes.

Reverse Bootstrapping: IR lessons for UV physics

Abstract

S-matrix bootstrap and positivity bounds are usually viewed as constraints on low-energy theories imposed by the requirement of a standard UV completion. By considering graviton--photon scattering in the Standard Model, we argue that the low-energy theory can be used to put constraints on the UV behaviour of the gravitational scattering amplitudes.
Paper Structure (1 section, 32 equations, 1 figure)

This paper contains 1 section, 32 equations, 1 figure.

Table of Contents

  1. Supplementary Material

Figures (1)

  • Figure 1: Top line: contributions to the $Ah\to Ah$ scattering amplitude $\tilde{\mathcal{A}}$ defined in \ref{['eq:Atilda']} at order $s^2$. Second (resp. third) line: redressed off-shell vertex $AAhh$ (resp. $AAh$) from electroweak loops. Hadronic loops can be computed in a similar way. The amplitude is dominated by loops from the lightest charged field.