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

Research output: Contribution to journalArticle

1 Scopus citations


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
Issue number5
Publication statusPublished - Nov 25 2019


ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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].