Could any black holes be produced at the LHC?

Abstract

We introduce analytical quantum gravity modifications of the production cross section for terascale black holes by employing an effective ultraviolet cut off $l$. We find the new cross sections approach the usual "black disk" form at high energy, while they differ significantly near the fundamental scale from the standard increase with respect to $s$. We show that the heretofore discontinuous step function used to represent the cross section threshold can realistically be modeled by two functions representing the incoming and final parton states in a high energy collision. The growth of the cross section with collision energy is thus a unique signature of $l$ and number of spatial dimensions $d$. Contrary to the classical black disk result, our cross section is able to explain why black holes might not be observable in LHC experiments while they could be still at the reach of ultra-high energy cosmic ray events.

v1: 10 pages, 1 figure; v2: 11 pages, 1 figure, additional references, minor modifications; v3: new title, expanded discussion with updated production estimates, additional references, 4 figures, 19 pages, version accepted for publication on Physical Review D

References in corpus (13)

• Noncommutative geometry inspired charged black holes
• Spacetime Structure of an Evaporating Black Hole in Quantum Gravity
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Charged rotating noncommutative black holes
• Black holes in an ultraviolet complete quantum gravity
• Black Holes and Quantum Gravity at the LHC
• Noncommutative Inspired Black Holes in Extra Dimensions
• Colorful quantum black holes at the LHC
• The decay-time of non-commutative micro-black holes
• Hawking emission from quantum gravity black holes
• Regular black holes in UV self-complete quantum gravity
• Black Hole Production at the LHC by Standard Model Bulk Fields in the Randall-Sundrum Model
• Critical comment on the recent microscopic black hole search at the LHC

Cited by in corpus (30)

• Remnant for all Black Objects due to Gravity's Rainbow
• Absence of Black Holes at LHC due to Gravity's Rainbow
• GUP-Corrected Thermodynamics for all Black Objects and the Existence of Remnants
• Remnants, fermions' tunnelling and effects of quantum gravity
• Is a tabletop search for Planck scale signals feasible?
• Gaussian black holes in Rastall Gravity
• Regular black holes from semi-classical down to Planckian size
• Holographic screens in ultraviolet self-complete quantum gravity
• Self-completeness and spontaneous dimensional reduction
• Geometric model of black hole quantum $N$-portrait, extradimensions and thermodynamics
• Minimum length effects in black hole physics
• Extra dimensions, black holes and fireballs at the LHC
• The final stage of gravitationally collapsed thick matter layers
• Can quantum gravity be exposed in the laboratory?: A tabletop experiment to reveal the quantum foam
• Modified Newton's Law of Gravitation Due to Minimal Length in Quantum Gravity
• The Good, the Bad, and the Ugly of Gravity and Information
• Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity
• Towards experimentally testing the paradox of black hole information loss
• Dynamically self-regular quantum harmonic black holes
• Large Star/Rose Extra Dimension with Small Leaves/Petals
• Minimum black hole mass from colliding Gaussian packets
• How strings can explain regular black holes
• Collider searches for non-perturbative low-scale gravity states
• Self-regular black holes quantized by means of an analogue to hydrogen atoms
• Hawking radiation of scalar particles and fermions from squashed Kaluza-Klein black holes based on a generalized uncertainty principle
• Quantum black holes in the horizon quantum mechanics model at the Large Hadron Collider
• Towards experimentally studying some puzzles of Hawking radiation
• Dimensionally-dependent uncertainty relations, or why we (probably) won't see micro-black holes at the LHC, even if large extra dimensions exist
• Horizon Quantum Mechanics of Generalized Uncertainty Principle Black Holes
• Black hole production at lepton colliders