Vanishing Effective Mass of the Neutrinoless Double Beta Decay?

Abstract

We stress that massive neutrinos may be Majorana particles even if the effective mass of the neutrinoless double beta decay mee vanishes. We show that current neutrino oscillation data do allow mee = 0 to hold, if the Majorana CP-violating phases lie in two specific regions. Strong constraints on three neutrino masses can then be obtained. We find that the neutrino mass spectrum performs a normal hierarchy: m1 < m2 < m3. A possible texture of the neutrino mass matrix is also illustrated under the mee = 0 condition.

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