Black holes production in self-complete quantum gravity

TL;DR

This paper explores the production of regular black holes within a self-complete quantum gravity framework, emphasizing the role of a minimal length and deriving the energy threshold for black hole formation.

Contribution

It introduces a model for black hole production considering higher dimensions and minimal length, providing a new perspective on quantum gravitational effects.

Findings

Black hole production cross section depends on minimal length l_0

Threshold energy for black hole formation is related to l_0

Cross section approaches standard black-disk form at high energies

Abstract

A regular black hole model, which has been proposed by Hayward, is reconsidered in the framework of higher dimensional TeV unification and self-complete quantum gravity scenario (Dvali, Spallucci). We point out the "quantum" nature of these objects and compute their cross section production by taking into account the key role played by the existence of a "minimal length" l_0. We show as the threshold energy is related to l_0. We recover, in the high energy limit, the standard "black-disk" form of the cross section, while it vanishes, below threshold, faster than any power of the invariant mass-energy \sqrt{-s}.