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After searching on this question in the archives here, it would appear that as of 2018, neutrinoless double beta decay had still not been observed. Has the situation changed since then? Can anybody share the current state of the search?

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I suspect any clear positive results would have shaken the world. This very month, there is a new negative limit, and I assume all comparable/competitive ones are also cited in it:

  • New Limit for Neutrinoless Double-Beta Decay of $^{100}$Mo from the CUPID-Mo Experiment, E. Armengaud et al. (CUPID-Mo Collaboration) Phys Rev Lett 126 181802 – Published 3 May 2021
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