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Lepton number violating processes are a typical problem in theories with alow quantum gravity scale. In this paper we examine lepton number violation(LNV) in theories with a saturated black hole bound on a large number ofspecies. Such theories have been advocated recently as a possible solution tothe hierarchy problem and an explanation of the smallness of neutrino masses.Naively one would expect black holes to introduce TeV scale LNV operators, thusgenerating unacceptably large rates of LNV processes. We show, however, thatthis does not happen in this scenario due to a complicated compensationmechanism between contributions of different Majorana neutrino states to theseprocesses. As a result rates of LNV processes are extremely small and farbeyond experimental reach, at least for the left-handed neutrino states.

Lepton number, black hole entropy and 10 to the 32 copies of the Standard Model