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Low-energy nuclear physics can provide relevant information regarding physics beyond theStandard Model of particle physics by investigating processes that could violate fundamental symmetries. For example, neutrinoless double-beta decay, if observed, would signal physics beyond the Standard Model that could be discovered at energies significantly lower than those at which the relevant degrees of freedom could be excited. Therefore, it could be challenging to further use the neutrinoless double-beta decay observations to distinguish between many beyond Standard Model competing mechanisms to this process. Accurate nuclear structure calculation of the nuclear matrix elements necessary to analyze the decay rates could be helpful to narrow down the list of competing mechanisms, and to better identify the more exotic properties of the neutrinos. In my talk I will present an up-to-date analysis of this process, and I will identify other similar direction of research.