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Neutrinoless doubleβdecay and effective field theory

2003/03/31 by Gary Prézeau, G. Prézeau, M. Ramsey-Musolf +3 · 5 citations
Physics and Astronomy · #Double beta decay #Effective field theory #Hadron #Lepton #Lepton number #MAJORANA #Neutrino #Neutrino Physics Research #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Physics beyond the Standard Model #Quantum Chromodynamics and Particle Interactions #Supersymmetry #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.68.034016

published as Phys.Rev. D68 (2003) 034016 · 37 pages. Accepted for publication in PRD

arxiv created 2003/07/09 · openalex publication_date 2003/08/25 · openalex created_date 2016/06/24 · arxiv updated 2016/08/16 · openalex updated_date 2026/08/06

Abstract

We analyze neutrinoless double \ensuremathβ decay (0\ensuremathν\ensuremathβ\ensuremathβ decay) mediated by heavy particles from the standpoint of effective field theory. We show how symmetries of the 0\ensuremathν\ensuremathβ\ensuremathβ-decay quark operators arising in a given particle physics model determine the form of the corresponding effective, hadronic operators. We classify the latter according to their symmetry transformation properties as well as the order at which they appear in a derivative expansion. We apply this framework to several particle physics models, including R-parity violating supersymmetry (RPV SUSY) and the left-right symmetric model (LRSM) with mixing and a right-handed Majorana neutrino. We show that, in general, the pion exchange contributions to 0\ensuremathν\ensuremathβ\ensuremathβ decay dominate over the short-range four-nucleon operators. This confirms previously published RPV SUSY results and allows us to derive new constraints on the masses in the LRSM. In particular, we show how a nonzero mixing angle \ensuremathζ in the left-right symmetry model produces a new potentially dominant contribution to 0\ensuremathν\ensuremathβ\ensuremathβ decay that substantially modifies previous limits on the masses of the right-handed neutrino and boson stemming from constraints from 0\ensuremathν\ensuremathβ\ensuremathβ decay and vacuum stability requirements.

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