Towards precise and accurate calculations of neutrinoless double-beta decay

V. Cirigliano, Z. Davoudi, J. Engel*, R. J. Furnstahl, G. Hagen, U. Heinz, H. Hergert, M. Horoi, C. W. Johnson, A. Lovato, E. Mereghetti, W. Nazarewicz, A. Nicholson, T. Papenbrock, S. Pastore, M. Plumlee, D. R. Phillips*, P. E. Shanahan, S. R. Stroberg, F. ViensA. Walker-Loud, K. A. Wendt, S. M. Wild

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

We present the results of a National Science Foundation Project Scoping Workshop, the purpose of which was to assess the current status of calculations for the nuclear matrix elements governing neutrinoless double-beta decay and determine if more work on them is required. After reviewing important recent progress in the application of effective field theory, lattice quantum chromodynamics, and ab initio nuclear-structure theory to double-beta decay, we discuss the state of the art in nuclear-physics uncertainty quantification and then construct a roadmap for work in all these areas to fully complement the increasingly sensitive experiments in operation and under development. The roadmap includes specific projects in theoretical and computational physics as well as the use of Bayesian methods to quantify both intra- and inter-model uncertainties. The goal of this ambitious program is a set of accurate and precise matrix elements, in all nuclei of interest to experimentalists, delivered together with carefully assessed uncertainties. Such calculations will allow crisp conclusions from the observation or non-observation of neutrinoless double-beta decay, no matter what new physics is at play.

Original languageEnglish (US)
Article number120502
JournalJournal of Physics G: Nuclear and Particle Physics
Volume49
Issue number12
DOIs
StatePublished - Dec 2022

Funding

We thank Julieta Gruszko for important guidance on the experimental situation in the study of 0 \u03BD \u03B2 \u03B2 decay and for useful comments on this document. This material is based upon work supported by the National Science Foundation under award number 2004601 of the CSSI program (BAND collaboration), as well as awards 1953111 (Northwestern) and 1913069 (Ohio State), the Alfred P. Sloan Foundation and the US Department of Energy, Office of Science, Offices of Nuclear Physics and Advanced Scientific Computing Research under award numbers DE-SC0020271 (University of Maryland), together with awards DE-SC0013365, DE-SC0017887, DE-SC0018083 (Michigan State University), DE-SC0004286 (Ohio State University), DE-FG02-03ER41272 (San Diego State University), DE-FG02-93ER40756 (Ohio University), DE-AC02-06CH11357 (Argonne National Laboratory), DE-FG02-96ER40963 and DE-SC0018223 (University of Tennessee), DE-AC05-00OR22725 (Oak Ridge National Laboratory), DE-SC0022538 (Central Michigan University), DE-AC02-05CH11231 (Lawrence Berkeley National Laboratory), DE-AC52-07NA27344 (Lawrence Livermore National Laboratory), DE-FG02-97ER41019 (University of North Carolina), and DE-FG02-00ER41132 (Institute for Nuclear Theory), and DE-SC0011090 and DE-SC0021006 (MIT). We especially thank the NSF for funding the Project Scoping Workshop that led to this paper under award number PHY-2226819.

Keywords

  • Bayesian model mixing
  • Bayesian uncertainty quantification
  • ab initio nuclear-structure theory
  • effective field theory
  • lattice quantum chromodynamics
  • neutrinoless double-beta decay

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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