Relativistic model-free prediction for neutrinoless double beta decay at leading order

Abstract

Starting from a manifestly Lorentz-invariant chiral Lagrangian, we present a model-free prediction for the transition amplitude of the process $nn\to pp{e}^{-}{e}^{-}$ induced by light Majorana neutrinos, which is a key process of the neutrinoless double beta decay ($0\nu \beta \beta$) in heavy nuclei employed in large-scale searches. Contrary to the nonrelativistic case, we show that the transition amplitude can be renormalized at leading order without any uncertain contact operators. The predicted amplitude defines a stringent benchmark for the previous estimation with model-dependent inputs, and greatly reduces the uncertainty of $0\nu \beta \beta$ transition operator in the calculations of nuclear matrix elements. Generalizations of the present framework could also help to address the uncertainties in $0\nu \beta \beta$ decay induced by other mechanisms. In addition, the present work motivates a relativistic {\it ab initio} calculation of $0\nu \beta \beta$ decay in light and medium-mass nuclei.

8 pages, 4 figures

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Cited by in corpus (5)

• Nuclear matrix elements of neutrinoless double-beta decay in covariant density functional theory with different mechanisms
• Subspace-projected multireference covariant density functional theory
• Neutrinoless double-beta decay in a finite volume from relativistic effective field theory
• Exact-exchange relativistic density functional theory in three-dimensional coordinate space
• Benchmarking nuclear matrix elements of $0\nu \beta \beta$ decay with high-energy nuclear collisions