A "new" scenario is proposed for baryogenesis. We show that the delayed decay of colored Higgs particles in grand unified theories may generate an excess baryon number of the empirically desired amount, if the mass of the heaviest neutrino is in the range 0.02 eV<m(nu(3))<0.8 eV, provided that neutrinos are of the Majorana type. The scenario accommodates the case of degenerate neutrino masses, in contrast to the usual leptogenesis scenario, which does not work when three neutrino masses are degenerate.