  We study the neutrinoless double beta decay in the colored Zee-Babu model. We
consider three cases of the colored Zee-Babu model with a leptoquark and a
diquark introduced. The neutrino masses are generated at two-loop level, and
the constraints given by tree-level flavor violation processes and muon
anomalous magnetic moment $(g-2)_{\mu}$ have been considered. In our numerical
analysis, we find that the standard light neutrino exchange contribution can be
canceled by new physics contribution under certain assumption and condition,
leading to a hidden neutrinoless double beta decay. The condition can be
examined comprehensively by future complementary searches with different
isotopes.
