@Article{Pompa_etal2023, author="Pompa, F. and Schwetz, T. and Zhu, J. Y.", title="Impact of nuclear matrix element calculations for current and future neutrinoless double beta decay searches", journal="Journal of High Energy Physics", year="2023", publisher="Springer", volume="06", number="6", pages="104--29pp", optkeywords="Baryon; Lepton Number Violation; Neutrino Interactions", abstract="Nuclear matrix elements (NME) are a crucial input for the interpretation of neutrinoless double beta decay data. We consider a representative set of recent NME calculations from different methods and investigate the impact on the present bound on the effective Majorana mass m({\&} beta;{\&} beta;) by performing a combined analysis of the available data as well as on the sensitivity reach of future projects. A crucial role is played by the recently discovered short-range contribution to the NME, induced by light Majorana neutrino masses. Depending on the NME model and the relative sign of the long- and short-range contributions, the current 3 {\&} sigma; bound can change between m({\&} beta;{\&} beta;)< 40 meV and 600 meV. The sign-uncertainty may either boost the sensitivity of next-generation experiments beyond the region for m({\&} beta;{\&} beta;) predicted for inverted mass ordering or prevent even advanced setups to reach this region. Furthermore, we study the possibility to distinguish between different NME calculations by assuming a positive signal and by combining measurements from different isotopes. Such a discrimination will be impossible if the relative sign of the long- and short-range contribution remains unknown, but can become feasible if m({\&} beta;{\&} beta;) {\&} GSIM; 40 meV and if the relative sign is known to be positive. Sensitivities will be dominated by the advanced Ge-76 and Xe-136 setups assumed here, but NME model-discrimination improves if data from a third isotope is added, e.g., from Te-130 or Mo-100.", optnote="WOS:001016276900003", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=5580), last updated on Sun, 30 Jul 2023 16:18:11 +0000", issn="1029-8479", doi="10.1007/JHEP06(2023)104", opturl="https://arxiv.org/abs/2303.10562", opturl="https://doi.org/10.1007/JHEP06(2023)104", language="English" }