RS1, Higher Derivatives and Stability

TL;DR

This paper proves the classical stability of the hierarchy in the Randall-Sundrum model when including higher-derivative interactions, using perturbative methods and classical renormalization to handle singularities.

Contribution

It systematically incorporates higher-derivative interactions into the RS scenario and demonstrates their effects on stability using classical renormalization techniques.

Findings

Hierarchy remains stable with higher derivatives.

Higher derivatives cause singularities near branes, managed by renormalization.

The approach supports the RS model as a low-energy limit of a more fundamental theory.

Abstract

We demonstrate the classical stability of the weak/Planck hierarchy within the Randall-Sundrum scenario, incorporating the Goldberger-Wise mechanism and higher-derivative interactions in a systematic perturbative expansion. Such higher-derivative interactions are expected if the RS model is the low-energy description of some more fundamental theory. Generically, higher derivatives lead to ill-defined singularities in the vicinity of effective field theory branes. These are carefully treated by the methods of classical renormalization.