UMCS Lublin

Neutrinoless double beta decay constrained by the existence of large extra dimensions

We present the possible influence on the half-life of neutrinoless double beta decay coming from the existence of $n$ extra spatial dimensions. The half-life in question depends on the mass of electron neutrino. We base our analysis on Majorana neutrino mass mechanism in the Arkani-Hamed--Dimopoulos--Dvali model. Taking into account constraints on neutrino masses coming from cosmological observations, it is possible to obtain lower limits on the size of extra dimensions as large as $10^{-4}\mm$. In the case of $n=4$ it is easy to lower the fundamental scale of gravity from the Planck energy to electroweak scale $\sim 1 \TeV$ without imposing any additional constraints. The half-life of $0\nu2\beta$ turns out to increase with radius $R$ of the extra dimensions and therefore experiments on $0\nu2\beta$ constrain $R$ from below.