I. Calculation of the observed value of large mass hierarchy in modified RS model

TL;DR

This paper investigates how a generalized Randall-Sundrum model with a dilaton and antisymmetric tensor field can explain the large mass hierarchy, showing it depends on a coupling constant and can be achieved with moderate values.

Contribution

It introduces a stabilized brane position in a generalized RS model with a dilaton and antisymmetric tensor field, linking mass hierarchy to the coupling constant.

Findings

Mass hierarchy depends non-analytically on the coupling constant.

Large hierarchy achieved with moderate coupling (~0.3).

Extension to higher dimensions relates hierarchy to the number of extra dimensions.

Abstract

In generalized Randall-Sundrum (RS) model with dilaton where bulk potential is generated by the antisymmetric tensor field the mass term of this field is introduced into the brane's Action. This permits to stabilize brane's position and hence to calculate the Planck/electroweek scales ratio which proves to depend non-analytically on the dilaton-antisymmetric tensor field coupling constant. The large observed number of mass hierarchy is achieved for the moderate value of this coupling constant of order 0,3. In the subsequent Paper II it is shown that the same approach in a higher dimensional theory without dilaton permits to express mass hierarchy only through number of extra dimensions.