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The e ective neutrino mass of neutrinoless double-beta decays:how possible to fall into a well

Abstracts

The neutrinoless double-beta (0ν2β) decay is currently the only feasible process in particle and nuclear physics to probe whether massive neutrinos are the Majorana fermions. If they are of the Majorana nature and have a normal mass ordering, the e?ective neutrino mass term mee of a 0ν2β decay may su?er signi?cant cancellations among its three components and thus sink into a decline,resulting in a “well” in the three-dimensional graph of |mee| against the smallest neutrino mass m1 and the relevant Majorana phase ρ. We present a new and complete analytical understanding of the ?ne issues inside such a well, and identify a novel threshold of |mee| in terms ofthe neutrino masses and ?avor mixing angles: |mee|? = m3 sin2 θ13 in connection with tan θ12 = m1/m2 and ρ = π. This threshold point, which links the local minimum and maximum of |mee|, can be used to signify observability or sensitivity of the future 0ν2β-decay experiments. Given current neutrino oscillation data, the possibility of |mee| < |mee|? is found to be very small.
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Keywords: neutrino; double-beta;
Recommended references: Zhi-zhong Xing,Zhen-hua Zhao.(2017).The e ective neutrino mass of neutrinoless double-beta decays:how possible to fall into a well.[ChinaXiv:201711.02294] (Click&Copy)
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[V1] 2017-11-10 15:12:51 chinaXiv:201711.02294V1 Download
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