Fermion localization in generalised Randall Sundrum model

TL;DR

This paper investigates how the localization of fermions in a generalized Randall-Sundrum braneworld model depends on the brane's cosmological constant, revealing conditions for fermions to be localized near or inside the brane.

Contribution

It analyzes the dependence of bulk fermion localization profiles on brane cosmological constant, brane tension, and fermion mass in a generalized warped braneworld model.

Findings

Fermions localize near the brane for small positive cosmological constant.

Fermions are localized inside the bulk for negative cosmological constant with positive tension.

Results suggest phenomenologically interesting fermion localization scenarios.

Abstract

A generalized two-brane Randall-Sundrum warped braneworld model admits of solutions of the warp factor for both positive or negative cosmological constant on the visible 3-brane which can resolve the naturalness problem in connection with the fine tuning of Higgs mass in the standard model of elementary particles. To explore the location of the standard model fermions in such a generalized warped model, we, in this work, determine the dependence of the localization profile of a bulk fermion on the brane cosmological constant brane tension and the bulk fermion mass. Our results reveal that for a positive and small value of the induced cosmological constant a bulk fermion is localized close to the brane. On the other hand for a visible brane with negative cosmological constant and positive tension, the fermions are localized inside the bulk leading to phenomenologically interesting possibilities.