Noninteracting Fields in the Higher Dimensional Superconducting Cosmic String Field Source Model

TL;DR

This paper explores the effects of higher-dimensional superconducting cosmic strings on electromagnetic properties of particles, providing new limits on model parameters through comparison with precision measurements.

Contribution

It introduces a detailed analysis of fields generated by superconducting cosmic strings in extra dimensions and their impact on particle dipole moments, extending previous models.

Findings

Upper limits on compactification size derived from dipole moment measurements.

Constraints on the new parameter b based on experimental data.

Identification of parity violation mechanisms in QED processes.

Abstract

In this paper we investigate the freely propagating fields behind the results in [6]. In [6] we calculated the magnetic dipole moment of the muon and the electric dipole moments of the muon, electron and the neutron (in a simple quark model) to first order in loop corrections in both S$_1$ and S$_1 \backslash \, \boldsymbol{Z}_2$. In these calculations in [6] we investigated the effect of fields possibly generated by higher dimensional superconducting cosmic strings [4] that interact with the charged fields on the manifold. In comparing the results in [6] with standard model precision tests for the electric and magnetic dipole moments of the various fermions in the model, we were able to obtain upper limits on the compactification size as well as an upper limit for the new $b$ parameter. Recall that in [5] we presented the theory for [6] in $M_4 \, \bigotimes$ S$_1 \backslash \, \boldsymbol{Z}_2$ where, in [6], we allowed for external magnetic fields, that could be produced by light charged particles traveling near superconducting cosmic strings, to permeate the extra dimensional space. These fields affected the charged particles in the model resulting in a novel mechanism for parity violation in QED processes along with other phenomenological and theoretical implications [6].