Model independent constraints of the averaged neutrino masses revisited

Abstract

Averaged neutrino masses defined by $\la m_ν\ra_{ab} \equiv\left| \sum_{j=1}^{3}U_{aj}U_{bj}m_j\right|$ ($a,b=e,\mu ,\tau$) are reanalyzed using up-to-date observed MNS parameters and neutrino masses by the neutrino oscillation experiments together with the cosmological constraint on neutrino masses. The values of $\la m_ν\ra_{ab}$ are model-independently evaluated in terms of effective neutrino mass defined by $\overline{m_{\nu }}\equiv {\left(\sum |U_{ej}{|}^2{m}_j^2\right)}^{1/2}$ which is observable in the single beta decay. We obtain lower bound for $⟨m_{\nu }{⟩}_{ee}$ in the inverted hierarchy(IH) case, $17~\mbox{meV} \leq \langle m_ν\rangle_{ee}$ and one for $⟨m_{\nu }{⟩}_{\tau \mu }$ in the normal hierarchy(NH) case, $5~\mbox{meV}\leq \langle m_ν\rangle_{τμ}$. We also obtain that all the averaged masses $\la m_ν\ra_{ab}$ have upper bounds which are at most $80~\mbox{meV}$.

8 pages, 7 figures, to appear in MPLA

References in corpus (4)

• Planck 2013 results. XV. CMB power spectra and likelihood
• Global status of neutrino oscillation parameters after Neutrino-2012
• Majorana CP-violating phases in neutrino-antineutrino oscillations and other lepton-number-violating processes
• Lepton-number-violating decays of heavy flavors induced by doubly-charged Higgs boson