# Corrections to Newton's law of gravitation in the context of codimension-1 warped thick braneworlds

## TL;DR

This paper analyzes how Kaluza-Klein gravitons in specific warped thick braneworld models cause corrections to Newton's law of gravitation, using numerical methods to evaluate the mass spectrum and potential deviations.

## Contribution

It introduces detailed calculations of gravitational corrections in asymmetric hybrid and compact branes derived from topological defects, expanding understanding of phenomenological implications.

## Key findings

- Odd eigenfunctions contribute significantly to corrections.
- The first Kaluza-Klein mode has the largest impact on gravitational deviations.
- Numerical techniques effectively determine the mass spectrum and eigenfunctions.

## Abstract

In this work, we compute the corrections in the Newton's law of gravitation due to Kaluza-Klein gravitons in codimension-1 warped thick braneworld scenarios. We focus in some models recently proposed in the literature, the so-called asymmetric hybrid brane and compact brane. Such models are deformations of the $\phi^4$ and sine-Gordon topological defects, respectively. Therefore we consider the branes engendered by such defects and we also compute the corrections in their cases. We use suitable numerical techniques to attain the mass spectrum and its corresponding eigenfunctions which are the essential quantities for computing the correction to the Newtonian potential. Moreover, we discuss that the existence of massive modes is necessary for building a braneworld model with a phenomenology involved. We find that the odd eigenfunctions have non-trivial contributions and the first eigenstate of the Kaluza-Klein tower has the highest contribution. The calculation of slight deviations in the gravitational potential may be used as a selection tool for braneworld scenarios matching with future experimental measurements in high energy collisions.