Heavy physics contributions to neutrinoless double beta decay from QCD

Abstract

Observation of neutrinoless double beta decay, a lepton number violating process that has been proposed to clarify the nature of neutrino masses, has spawned an enormous world-wide experimental effort. Relating nuclear decay rates to high-energy, beyond the Standard Model (BSM) physics requires detailed knowledge of non-perturbative QCD effects. Using lattice QCD, we compute the necessary matrix elements of short-range operators, which arise due to heavy BSM mediators, that contribute to this decay via the leading order ${\pi }^{-}\to {\pi }^{+}$ exchange diagrams. Utilizing our result and taking advantage of effective field theory methods will allow for model-independent calculations of the relevant two-nucleon decay, which may then be used as input for nuclear many-body calculations of the relevant experimental decays. Contributions from short-range operators may prove to be equally important to, or even more important than, those from long-range Majorana neutrino exchange.

arXiv commentPublished version. Corrected missing term in chiral expansion, added supplemental material, updated references. The Jupyter notebook (DOI:10.5281/zenodo.1243313) accompanying this work can be found on github https://github.com/callat-qcd/project_0vbb

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