The renormalization of the shell-model neutrinoless double-beta decay operator starting from effective field theory at leading order
Abstract
In this work, we approach for the first time the task to perform a shell-model calculation of the matrix element for the neutrinoless double-beta decay, within a fully-consistent framework where the expressions of the nuclear Hamiltonian and of the decay operators have been derived through chiral perturbation theory. More precisely, the effective shell-model Hamiltonian and all transition operators have been constructed by way of the many-body perturbation theory, and then employed to calculate both spectroscopic properties of the nuclei involved in the decays under our consideration - namely 48Ca, 76Ge, and 82Se -, as well as the nuclear matrix elements of the electromagnetic and neutrinoless double-beta decays. We also present a study of the convergence properties of the calculated matrix elements in order to provide the elements for an estimate of the theoretical uncertainty.
Versions
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BibTeX
@misc{coraggio2026renormalization,
title = {{The renormalization of the shell-model neutrinoless double-beta decay operator starting from effective field theory at leading order}},
author = {L. Coraggio and G. De Gregorio and S. L. Lyu and N. Itaco},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.25486},
eprint = {2606.25486},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.25486},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - The renormalization of the shell-model neutrinoless double-beta decay operator starting from effective field theory at leading order
AU - L. Coraggio
AU - G. De Gregorio
AU - S. L. Lyu
AU - N. Itaco
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2606.25486
UR - https://arxiv.org/abs/2606.25486
AB - In this work, we approach for the first time the task to perform a shell-model calculation of the matrix element for the neutrinoless double-beta decay, within a fully-consistent framework where the expressions of the nuclear Hamiltonian and of the decay operators have been derived through chiral perturbation theory. More precisely, the effective shell-model Hamiltonian and all transition operators have been constructed by way of the many-body perturbation theory, and then employed to calculate both spectroscopic properties of the nuclei involved in the decays under our consideration - namely 48Ca, 76Ge, and 82Se -, as well as the nuclear matrix elements of the electromagnetic and neutrinoless double-beta decays. We also present a study of the convergence properties of the calculated matrix elements in order to provide the elements for an estimate of the theoretical uncertainty.
ER -