Simple mass relations for bulk fermions

TL;DR

This paper explores simple relations between bulk mass parameters and the observed charged lepton masses in higher-dimensional models, showing that the mass spectrum can be approximately explained by these relations.

Contribution

It introduces a set of simple relations for bulk and physical masses that approximate the charged lepton mass spectrum in higher-dimensional theories.

Findings

Bulk mass parameters are of similar order for different generations.

The observed lepton mass pattern is approximately reproduced.

Relations provide a potential framework for understanding fermion mass hierarchies.

Abstract

Relations between bulk mass parameters for fermions propagating in higher dimensions are studied in analogy with the empirical mass relation for charged leptons. Masses of three generation of four-dimensional charged leptons are achieved from the bulk mass parameters of the same-order values. We find that the observed pattern of charged lepton mass spectrum is accommodated approximately in a set of simple relations for bulk and physical masses.