Hawking radiation for a Proca field in D-dimensions. (arXiv:1110.2485v1 [gr-qc])

We study the wave equation of a massive vector boson in the background of a
D-dimensional Schwarzschild black hole. The mass term introduces a coupling
between two physical degrees of freedom of the field, and we solve the
resulting system of ODEs numerically, without decoupling. We show how to define
decoupled transmission factors from an S-matrix and compute them for various
modes, masses and space-time dimensions. The mass term lifts the degeneracy
between transverse modes, in D=4, and excites the longitudinal modes, in
particular the s-wave. Moreover, it increases the contribution of waves with
larger angular momentum, which can be dominant at intermediate energies. The
transmission factors are then used to obtain the Hawking fluxes in this
channel. Our results alert for the importance of modelling the longitudinal
modes correctly, instead of treating them as decoupled scalars as in current
black hole event generators; thus they can be used to improve such generators
for phenomenological studies of TeV gravity scenarios.

hep-ph updates on arXiv.org