Model with Possible Fields Generated by Higher Dimensional Superconducting Cosmic Strings

TL;DR

This paper develops a higher-dimensional model involving superconducting cosmic strings that predicts new particle interactions, parity violation phenomena, and places bounds on extra dimension parameters, extending standard model physics.

Contribution

It introduces a novel theoretical framework with unique couplings and physical implications arising from fields generated by superconducting cosmic strings in a compactified extra dimension.

Findings

Predicted nonstandard Higgs and lepton couplings to gauge bosons.

Derived upper limits on compactification size and new parameters.

Explored parity violation in QED processes.

Abstract

In this paper we investigate the theory behind the results in [11]. In [11] 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 [11] we investigated the effect of fields possibly generated by higher dimensional superconducting cosmic strings [12] that interact with the charged fields on the manifold. In comparing the results in [11] 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. This new model has several important phenomenological implications. One of these is a theoretical phenomenon that is a source for parity violation in QED processes. In this paper we will be presenting the theory of the model in the compactification $M_4 \, \bigotimes$ S$_1 \backslash \, \boldsymbol{Z}_2$ (orbifold geometry). The theory predicts nontrivial couplings of the Higgs and lepton fields to the SU(2) gauge bosons, these differ from the standard model couplings. The theory also expounds upon the standard model results for the masses of the charged fields in the model and has other significant physical implications. The model is rooted in the notion that very light charged particles traveling next to superconducting cosmic strings [12] at distances on the order of the compactification size of the extra dimensional space, could generate currents that intern can create magnetic fields that interact with the particle fields on the UED manifold. Please see section V of [11] for a more detailed discussion of this.