Predictions on the neutrinoless double beta decay from the leptogenesis via the LHu flat direction

Abstract

If the baryon asymmetry in the present universe is generated by decays of the $L{H}_u$ flat direction, the observed baryon asymmetry requires the mass of the lightest neutrino to be much smaller than the mass scale indicated from the atmospheric and solar neutrino oscillations. Such a small mass of the lightest neutrino leads to a high predictability on the rate of the neutrinoless double beta ($0\hat{I}½{\hat{I}}^2{\hat{I}}^2$) decay. In this letter we show general predictions on the $0\hat{I}½{\hat{I}}^2{\hat{I}}^2$ decay in the leptogenesis via the $L{H}_u$ flat direction.

12 pages, LaTeX, 4 figures