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Department of Physics, Kobe University, Kobe 657-8501, Japan.
Published: August 2021
AI Article Synopsis
The research examines how the standard model of particle physics aligns with general relativity, using gravitational positivity bounds to assess compatibility in low-energy gravitational theories.
The study particularly focuses on determining the cutoff scale of the standard model when coupled with gravity, which is important for understanding the limits of theoretical physics.
Findings suggest that the cutoff scale is approximately 10^{16} GeV under certain conditions, but this value drops to 10^{13} GeV when the electroweak theory is analyzed without considering the strong interactions of quantum chromodynamics (QCD).
Article Abstract
We study compatibility of the standard model of particle physics and general relativity by means of gravitational positivity bounds, which provide a necessary condition for a low-energy gravitational theory to be UV completable within the weakly coupled regime of gravity. In particular, we identify the cutoff scale of the standard model coupled to gravity by studying consistency of light-by-light scattering. While the precise value depends on details of the Pomeron effects in QCD, the cutoff scale reads 10^{16} GeV if the single-Pomeron exchange picture works well up to this scale. We also demonstrate that the cutoff scale is lowered to 10^{13} GeV if we consider the electroweak theory without the QCD sector.
