Fermion mass splitting, stability and naturalness problems in warped braneworld models

TL;DR

This paper extends warped braneworld models to higher dimensions, addressing fermion mass hierarchy, stability, and naturalness issues, with a focus on scalar mass fine-tuning and modulus stabilization.

Contribution

It generalizes the Randall-Sundrum model to higher dimensions and explores solutions to fermion mass hierarchy and modulus stabilization, highlighting the importance of higher derivative terms.

Findings

Proposes a higher-dimensional warped model for fermion mass hierarchy.

Identifies the re-emergence of fine-tuning problems with bulk antisymmetric tensor fields.

Shows higher derivative terms are crucial for modulus stabilization.

Abstract

We generalize the Randall Sundrum warped braneworld model in six and higher dimension and propose a resolution to the mass hierarchy among the standard model fermions. The fine tuning problem in connection with the scalar mass however is shown to reappear in a new guise in five dimensional warped model when the two form antisymmetric tensor fields, a massless string mode, propagates in the bulk. Finally the issue of modulus stabilization is re-examined in presence of a bulk scalar by considering it's back-reaction on the background geometry. The role of higher derivative term of the bulk scalar is shown to be crucial to achieve modulus stabilization.