Rotating black holes at future colliders: Greybody factors for brane fields

TL;DR

This paper investigates the production and evaporation of rotating black holes in higher dimensions, providing new calculations for cross sections and greybody factors, with implications for future collider experiments.

Contribution

It introduces a more accurate calculation of black hole production cross sections considering angular momentum and derives separable equations for brane fields in higher-dimensional Kerr geometries.

Findings

Production cross section exceeds traditional estimates and aligns with numerical studies.

Greybody factors for brane fields are analytically derived in low frequency limit.

Angular dependence of Hawking radiation power spectra is characterized.

Abstract

We study theoretical aspects of the rotating black hole production and evaporation in the extra dimension scenarios with TeV scale gravity, within the mass range in which the higher dimensional Kerr solution provides good description. We evaluate the production cross section of black holes taking their angular momenta into account. We find that it becomes larger than the Schwarzschild radius squared, which is conventionally utilized in literature, and our result nicely agrees with the recent numerical study by Yoshino and Nambu within a few percent error for higher dimensional case. In the same approximation to obtain the above result, we find that the production cross section becomes larger for the black hole with larger angular momentum. Second, we derive the generalized Teukolsky equation for spin 0, 1/2 and 1 brane fields in the higher dimensional Kerr geometry and explicitly show that it is separable in any dimensions. For five-dimensional (Randall-Sundrum) black hole, we obtain analytic formulae for the greybody factors in low frequency expansion and we present the power spectra of the Hawking radiation as well as their angular dependence. Phenomenological implications of our result are briefly sketched.