Moduli Bounds from Spin-2 Sum Rules

2026/08/05 by Francesco Bertucci, James Bonifacio, Kurt Hinterbichler
Physics and Astronomy · #hep-th

paper · pdf

9 pages

arxiv created 2026/08/05 · arxiv updated 2026/08/07

Abstract

Mirbabayi and Villadoro have provided strong numerical evidence for a universal upper bound on the mass of the lightest scalar field in gravitational Kaluza--Klein (KK) theories. This bound states that the lightest KK graviton, with mass m₁, must couple to at least one scalar with mass m_{\rm sc} such that (m_{\rm sc} /m₁)² ≤ 4/3. We give a proof of this bound using the approach of the conformal bootstrap applied to sum rules for massive spin-2 scattering amplitudes. We additionally show that each heavier KK graviton, with mass m_n, must couple to at least one scalar with mass m_{\rm sc} such that (m_{\rm sc} /m_n)² < 36/25.

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