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, with a focus on LHC processes involving graviton production alongside jets or photons.

Contribution

It introduces a hyperbolic disc geometry for large extra dimensions, providing a novel solution to the hierarchy problem and detailed predictions for collider signatures.

Findings

Strong signals for graviton plus jet production at LHC.

Photon production signals are comparatively weak.

Model avoids astrophysical constraints.

Abstract

In this poster, we present 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. 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 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.