CP violation and gravity as the weakest force

Abstract

We argue that CP violation has rather dramatic impact on the "gravity as the weakest force" conjecture. Namely we find that new ultraviolet scale must be $\Lambda \lesssim \theta g^3{M}_P$, where $\theta$ is an effective parameter describing CP violation and $g$ is the gauge coupling constant. The bound implies that CP-conserving limit is discontinuous, and possibly indicates that the class of effective theories with strict CP conservation is inconsistent with a fundamental theory incorporating quantum gravity. At the same time, the mass hierarchy problem can be explained due to the smallness of the CP violation, $\theta \sim 10^{-15}$ or so.

4 pages

References in corpus (4)

• The String Landscape and the Swampland
• Black Hole Bound on the Number of Species and Quantum Gravity at LHC
• Gravity Cutoff in Theories with Large Discrete Symmetries
• (De)quantization of black hole charges