Searches for hyperbolic extra dimensions at the LHC

TL;DR

This paper explores a hyperbolic extra-dimensional model that addresses the hierarchy problem and predicts collider signatures similar to the ADD model, with unique dependence on brane position and potential for detectable signals at the LHC.

Contribution

It introduces a hyperbolic disc geometry for extra dimensions, providing a novel approach to the hierarchy problem and collider phenomenology, with a new method for spectrum calculation.

Findings

Signals at the LHC are similar to the ADD model.

Jet production signals can be relatively strong.

Photon production signals are more challenging to detect.

Abstract

We investigate a model of large extra dimensions where the internal space has the geometry of a hyperbolic disc. Compared with the ADD model, this model provides a more satisfactory solution to the hierarchy problem between the electroweak scale and the Planck scale, and it also avoids constraints from astrophysics. In general, a novel feature of this model is that the physical results depend on the position of the brane in the internal space, and in particular, the signal almost disappears completely if the brane is positioned at the center of the disc. Since there is no known analytic form of the Kaluza-Klein spectrum for our choice of geometry, we obtain a spectrum based on a combination of approximations and numerical computations. We study the possible signatures of our model for hadron colliders, especially the LHC, where the most important processes are the production of a graviton together with a hadronic jet or a photon. We find that the signals are similar to those of the ADD model, regarding both qualitative behavior and strength. For the case of hadronic jet production, it is possible to obtain relatively strong signals, while for the case of photon production, this is much more difficult.