Graviton emission from a higher-dimensional black hole

TL;DR

This paper analyzes graviton emission and absorption by higher-dimensional Schwarzschild black holes, focusing on the intermediate energy regime relevant for potential black hole production at the LHC.

Contribution

It provides a detailed calculation of graviton greybody factors and cross-sections for higher-dimensional black holes in the intermediate energy regime, using large angular momentum approximations.

Findings

Derived expressions for graviton absorption probabilities.

Estimated cross-sections for graviton emission.

Applicable to black holes potentially produced at colliders.

Abstract

We discuss the graviton absorption probability (greybody factor) and the cross-section of a higher-dimensional Schwarzschild black hole (BH). We are motivated by the suggestion that a great many BHs may be produced at the LHC and bearing this fact in mind, for simplicity, we shall investigate the intermediate energy regime for a static Schwarzschild BH. That is, for $(2M)^{1/(n-1)}\omega\sim 1$, where $M$ is the mass of the black hole and $\omega$ is the energy of the emitted gravitons in $(2+n)$-dimensions. To find easily tractable solutions we work in the limit $l \gg 1$, where $l$ is the angular momentum quantum number of the graviton.