Bounds on Large Extra Dimensions from the Generalized Uncertainty Principle

TL;DR

This paper investigates how the Generalized Uncertainty Principle affects black hole production and decay in models with large extra dimensions, providing new bounds on fundamental scales based on LHC data.

Contribution

It introduces the impact of a minimum length scale from GUP on black hole physics in extra dimensions and derives updated bounds from collider experiments.

Findings

Minimum length reduces lower bounds on Planck scale.

Black holes must have a radius larger than the minimum length.

Constraints from CMS data limit black hole production cross sections.

Abstract

The Generalized Uncertainty Principle (GUP) implies the existence of a physical minimum length scale $l_m$. In this scenario, black holes must have a radius larger than $l_m$. They are hotter and evaporate faster than in standard Hawking thermodynamics. We study the effects of the GUP on black hole production and decay at the LHC in models with large extra dimensions. Lower bounds on the fundamental Planck scale and the minimum black hole mass at formation are determined from black hole production cross section limits by the CMS Collaboration. The existence of a minimum length generally decreases the lower bounds on the fundamental Planck scale obtained in the absence of a minimum length.