Adding subtractions: comparing the impact of different Regge behaviors
Brian McPeak, Marco Venuti, Alessandro Vichi

TL;DR
This paper investigates how different assumptions about high-energy behavior and specific dominance conditions affect dispersion relation bounds on EFT coefficients for scalar, photon, and gravity interactions, revealing new bounds and insights into global symmetries.
Contribution
It systematically compares subtracted dispersion relations and introduces the $t$-channel dominance assumption, deriving new bounds and connections to the weak gravity conjecture.
Findings
Singly- and doubly-subtracted dispersion relations often yield identical bounds.
The $t$-channel dominance assumption significantly strengthens EFT bounds.
Derived bounds relate gravity and gauge couplings, supporting the weak gravity conjecture.
Abstract
Dispersion relations let us leverage the analytic structure of scattering amplitudes to derive constraints such as bounds on EFT coefficients. An important input is the large-energy behavior of the amplitude. In this paper, we systematically study how different large-energy behavior affects EFT bounds for the amplitude of complex scalars coupled to photons, gravity, both, or neither. In many cases we find that singly-subtracted dispersion relations (1SDRs) yield exactly the same bounds as doubly subtracted relations (2SDRs). However, we identify another assumption, which we call "-channel dominance," that significantly strengthens the EFT bounds. This assumption, which amounts to the requirement that the amplitude has no -channel exchange, is justified in certain cases and is analogous to the condition that the isospin-2 channel does not contribute to the…
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