Signatures of a minimal length scale in high precision experiments

TL;DR

This paper investigates how a minimal length scale, inspired by string theory, could cause measurable deviations in the gyromagnetic moments of electrons and muons, leading to constraints on the fundamental scale from high-precision experiments.

Contribution

It provides the first derivation of first-order deviations in g-2 values due to string theory-motivated minimal length effects and establishes a lower bound on the fundamental scale.

Findings

Derived deviations in g-2 due to minimal length effects

Established a lower bound of 577 GeV on the fundamental scale

Connected string theory concepts with experimental precision measurements

Abstract

We discuss modifications of the gyromagnetic moment of electrons and muons due to a minimal length scale combined with a modified fundamental scale $M_f$. First-order deviations from the theoretical standard model value for $g-2$ due to these String Theory-motivated effects are derived. A constraint of $M_f>577 GeV$ for the new fundamental scale is given.