Abstract
We examine the effect of large extra dimensions on black hole seeded vacuum decay using the Randall-Sundrum model as a prototype for warped extra dimensions. We model the braneworld black hole by a tidal solution, and solve the Higgs equations of motion for the instanton on the brane. Remarkably, the action of the static instanton can be shown to be the difference in the bulk areas of the seed and remnant black holes, and we estimate these areas assuming the black holes are small compared to the bulk AdS radius. Comparing to the Hawking evaporation rate shows that small black hole seeds preferentially catalyse vacuum decay, thus extending our previous results to higher dimensional braneworld scenarios. The parameter ranges do not allow for Standard Model Higgs decay from collider black holes, but they can be relevant for cosmic ray collisions.
Highlights
A fascinating consequence of the discovery of the Higgs [1,2] is that the standard model vacuum appears to be metastable [3,4,5,6,7]
As a first step in looking at vacuum decay with extra dimensions, we considered the impact of dimensionality on our toy model thin wall calculations in [19], finding that extra dimensions seemed to impede vacuum decay; these estimates were predicated on a rather crude higher-dimensional generalization that did not take the Published by the American Physical Society
In this paper we have explored the impact of large extra dimensions on black hole seeded vacuum decay
Summary
A fascinating consequence of the discovery of the Higgs [1,2] is that the standard model vacuum appears to be metastable [3,4,5,6,7] (see earlier work [8,9,10,11,12]). Vacuum configuration that turns out to be proportional to the difference in the horizon area of the seed and remnant black holes Because of this dependence on the black hole area, enhancement occurs only for very small black holes, the obvious candidates being primordial black holes in our universe; there is an interesting thermal interpretation of our result (see, for example, [23,24,25]). Since the true Planck scale is the higherdimensional one, it is easier to form black holes in high energy processes, leading to the possibility of black holes being produced at the LHC (for a review see [34]) Given this exciting possibility for producing small black holes, we should revisit our four-dimensional black hole instanton calculations and explore the impact of large extra dimensions.
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