Abstract: Neutrinoless double beta decay (0 ν β β) is the sponatenous decay of a nucleus emitting only two electrons and no neutrinos. The process exists if neutrinos are their own antiparticle or, said in the particle physics language, if lepton number is violated. The relevance is that lepton number violation is exactly what we need to explain one of the still intriguing mysteries of our universe: why there is only (almost) matter and no antimatter. Experimental searches of 0 ν β β are extremely challenging, basically because the process is expected to be extrahordinary rare and its signature is rather weak. Despite this, there is a world wide experimental effort in this field that sees Italy and Laboratori Nazionali del Gran Sasso as one of the most important stakeholders. In the seminar I will discuss status, experimental challenges and perspectives for 0 ν β β experiments.
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