  In the framework of quantum gravity propagating in large extra dimensions,
the effects of virtual Kaluza-Klein graviton and graviscalar interference with
Higgs boson production amplitudes are computed at linear colliders and Higgs
factories. The interference of the almost-continuous spectrum of the KK
gravitons with the standard model resonant amplitude is finite and predictable
in terms of the fundamental D-dimensional Plank scale M_D and the number of
extra dimensions \delta. We find that, for M_D ~ 1 TeV and \delta=2, effects of
the order of a few percent could be detected for heavy Higgs bosons (m_H>500
GeV) in Higgs production both via WW fusion in e^+e^- colliders and at
\mu^+\mu^- Higgs-boson factories.
