Gauged $U(1)$ Clockwork Theory

TL;DR

This paper explores a gauged $U(1)$ clockwork model, demonstrating how it can produce exponentially suppressed couplings through localization, with applications in dark matter, flavor physics, and supersymmetry breaking.

Contribution

It introduces a continuum limit of the gauged $U(1)$ clockwork theory, connecting it to a five-dimensional model with a linear dilaton background and analyzing its phenomenological implications.

Findings

Exponential suppression of couplings via localization.

Continuum limit relates to 5D linear dilaton models.

Applications to dark matter, flavor physics, and SUSY breaking.

Abstract

We consider the gauged $U(1)$ clockwork theory with a product of multiple gauge groups and discuss the continuum limit of the theory to a massless gauged $U(1)$ with linear dilaton background in five dimensions. The localization of the lightest state of gauge fields on a site in the theory space naturally leads to exponentially small effective couplings of external matter fields localized away from the site. We discuss the implications of our general discussion with some examples, such as mediators of dark matter interactions, flavor-changing $B$-meson decays as well as D-term SUSY breaking.