# Localization of a Model With U(1) Kinetic Gauge Mixing

## TL;DR

This paper investigates how a model with U(1) kinetic gauge mixing, relevant for millicharged particles and studied at the LHC, can be localized on a membrane through geometrical couplings, revealing conditions for localization of gauge and scalar fields.

## Contribution

It introduces a novel geometrical coupling approach to localize gauge and scalar fields in a U(1) kinetic mixing model on a membrane.

## Key findings

- Localization depends on specific coupling constant values.
- Gauge fields can be localized without necessarily localizing scalar fields.
- The model extends the understanding of millicharged particles in higher-dimensional theories.

## Abstract

In this paper we study the localization of a model with kinetic gauge mixing on a thin membrane. The model we discuss is a theory for millicharged particles, proposed by Holdom in 1985, and that now is object of study in the LHC. We propose a geometrical coupling between the gauge fields, the Ricci scalar and the Ricci tensor. We show that it is possible to localize such a model by regarding specific values for the coupling constants. We find the solutions for the two gauge fields and discuss the localization for scalar fields that appears naturally in the process. We show that not necessarily the gauge and scalar fields are localized at the same time.