Constraints of mixing angles from neutrino oscillation experiments and neutrinoless double beta decay

From the analyses of the recent data of neutrino oscillation experiments (especially the CHOOZ and the Super KAMIOKANDE experiments), we discuss how these data affect the neutrinoless double beta decay ((ββ)0ν ) rate and vice versa assuming that neutrinos are Majorana particles. For the case that m1 ∼ m2 ≪ m3 (mi are neutrino masses), we obtain, from the data of the CHOOZ and Super KAMIOKANDE, 0.28 ∼ sin 2 θ23 ∼ 0.76 and sin 2 θ13 ∼ 0.05. Combining the latter constraint with the analysis of the ”averaged” neutrino mass 〈mν〉 appeared in (ββ)0ν , we find that 〈mν〉−m2 m3−m2 < sin θ13 ∼ 0.05, which leads to the constraint on 〈mν〉 as 〈mν〉 ∼ 0.05m3 + (1 − 0.05)m2. For the case that m1 ≪ m2 ∼ m3, we find that the data of neutrino oscillation experiments and (ββ)0ν imply the following constraints of mixing angles. If 0.95m3 ∼ 〈mν〉 < m3, 0 ≤ sin θ13 ≤ m3+〈mν〉 2m3 . If 〈mν〉 ∼ 0.95m3, 〈mν〉−(1−0.05)m3 〈mν〉−(1+0.05)m3 < ∼ sin 2 θ12 ≤ 1 and (1−0.05)m3−〈mν〉 2m3 < ∼ sin 2 θ13 ≤ m3+〈mν〉 2m3 . PACS number(s): 14.60Pg 11.30.Er 13.35.Hb 23.40.Bw