Abstract
Quantum black hole production at the Large Hadron Collider is investigated using the horizon quantum mechanics model. This model has novel implications for how black holes might be observed in collider experiments. Black hole production is predicted to be possible below the Planck scale, thus leading to the intriguing possibility that black holes could be produced even if the Planck scale is slightly above the collider centre of mass energy. In addition, the usual anticipated resonance in the black hole mass distribution is significantly widened in this model. For values of the Planck scale above the current lower limits, the shape of the black hole mass distribution is almost independent of the Planck scale and depends more on the number of extra dimensions. These model features suggest the need for alternative search strategies in collider experiments.
Highlights
Low-scale gravity provides an interesting possibility for gaining insight into the hierarchy problem
One generally expects more black holes to be produced for low D. This is at odds with the usual effect of dimensionality in the quantum black holes (QBH) model, where greater D corresponds to a greater geometric cross section
At a current luminosity of 139 fb−1, values of MD in the horizon quantum mechanics (HQM) model are not constrained by the lower limits on MD, and quantum black holes could exist in the Large Hadron Collider (LHC) experiment’s current datasets
Summary
Low-scale gravity provides an interesting possibility for gaining insight into the hierarchy problem. The horizon wave function is used to calculate the probability PSðr < rHÞ that the particle is inside a (D − 1)-ball of radius rH and the probability density PHðrHÞ that the radius of the horizon equals rH In this case, the black hole probability depends on the Gaussian width l, particle mass m, and number of spatial dimensions D. Called, quantum black holes (QBH), where the object has an event horizon but negligible entropy, and behaves more like a particle in its decay to a few-body—two in our case— final state Such objects by definition have mass close to the Planck scale and are significantly affected by the HQM model. The QBH model refers to the quantum black hole model with Heaviside step function tuprnffiffi-on typically used by ATLAS and CMS searches at s of
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