  The production of black holes in extra-dimensional brane-world theories can
lead to detectable signals via the Hawking evaporation of the black hole to
brane-localised Standard Model modes. We calculate, as a function of partial
wave number and number of toroidally compactified extra dimensions, the leading
correction to the energy spectrum of such Hawking radiation (the greybody
factors) for decay into spin 1/2 fermions and spin 1 gauge fields localised on
the Standard Model brane. We derive the associated improved differential
emission rates for both types of fields. We provide both simple expressions for
the leading behavior of the greybody factors in the low-energy limit $\om r_H
\ll 1$, and numerical evaluation of our full analytic expressions for the
emission rates, valid for $\om r_H \sim 1$. The full analytic expressions
demonstrate that both the greybody factors and emission rates are enhanced as
the number of extra dimensions increases.
