Probing Supersymmetry Breaking Scale with Atomic Clocks

TL;DR

This paper explores how atomic clock measurements can be used to probe the supersymmetry breaking scale by detecting variations in the fine-structure constant caused by light sgoldstino dark matter.

Contribution

It demonstrates a method to constrain the SUSY breaking scale using atomic clock data, reaching up to the GUT scale for specific sgoldstino mass ranges.

Findings

SUSY breaking scale can be probed up to the GUT scale.

Atomic clocks can detect variations in the fine-structure constant.

Constraints are effective for sgoldstino masses between 10^{-22} eV and 4×10^{-7} eV.

Abstract

The supersymmetry (SUSY) breaking mechanism generally predicts the existence of the sgoldstinos, which can play the role of wave-like dark matter. Due to the ubiquitous coupling to the electromagnetic fields, the light scalar sgoldstino dark matter can lead to the variance of the fine-structure constant. With the precise atomic clock data, we find the SUSY breaking scale $\sqrt{F}$ can be probed up to the GUT scale in the sgoldstino mass range of $10^{-22}$ eV $<m_\phi <$ $4\times10^{-7}$ eV.