Renormalized approach to neutrinoless double- β decay

V. Cirigliano, W. Dekens, J. De Vries, M. L. Graesser, E. Mereghetti, S. Pastore, M. Piarulli, U. Van Kolck, R. B. Wiringa

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Abstract

The process at the heart of neutrinoless double-β decay, nn→ppe-e- induced by a light Majorana neutrino, is investigated in pionless and chiral effective field theory. We show in various regularization schemes the need to introduce a short-range lepton-number-violating operator at leading order, confirming earlier findings. We demonstrate that such a short-range operator is only needed in spin-singlet S-wave transitions, while leading-order transitions involving higher partial waves depend solely on long-range currents. Calculations are extended to include next-to-leading-order corrections in perturbation theory, where to this order no additional undetermined parameters appear. We establish a connection based on chiral symmetry between neutrinoless double-β decay and nuclear charge-independence breaking induced by electromagnetism. Data on the latter confirm the need for a leading-order short-range operator but do not allow for a full determination of the corresponding lepton-number-violating coupling. Using a crude estimate of this coupling, we perform ab initio calculations of the matrix elements for neutrinoless double-β decay for He6 and Be12. We speculate on the phenomenological impact of the leading short-range operator on the basis of these results.

Original languageEnglish (US)
Article number055504
JournalPhysical Review C
Volume100
Issue number5
DOIs
Publication statusPublished - Nov 25 2019

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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Cirigliano, V., Dekens, W., De Vries, J., Graesser, M. L., Mereghetti, E., Pastore, S., ... Wiringa, R. B. (2019). Renormalized approach to neutrinoless double- β decay. Physical Review C, 100(5), [055504]. https://doi.org/10.1103/PhysRevC.100.055504