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Constraining glueball couplings

Andrea L. Guerrieri1,2,3, Aditya Hebbar4, and Balt C. van Rees4

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Phys. Rev. D 112, 094023 – Published 12 November, 2025

DOI: https://doi.org/10.1103/f46t-xp36

Abstract

We set up a numerical S-matrix bootstrap problem to rigorously constrain bound-state couplings given by the residues of poles in elastic amplitudes. We extract upper bounds on these couplings that follow purely from unitarity, crossing symmetry, and the Roy equations within their proven domain of validity. First we consider amplitudes with a single spin-0 or spin-2 bound state, both with or without a self-coupling. Subsequently we investigate amplitudes with the spectrum of bound states corresponding to the estimated glueball masses of pure SU(3) Yang-Mills. In the latter case the “glue-hedron,” the space of allowed couplings, provides a first-principles constraint for future lattice estimates.

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Phys. Rev. D 112, 094023– Published 12 November, 2025
  • Received 2 April 2024
  • Accepted 10 October 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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