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Starting from a manifestly Lorentz-invariant chiral Lagrangian, we present amodel-free prediction for the transition amplitude of the process$nn\rightarrow pp e^-e^-$ induced by light Majorana neutrinos, which is a keyprocess of the neutrinoless double beta decay ($0\nu\beta\beta$) in heavynuclei employed in large-scale searches. Contrary to the nonrelativistic case,we show that the transition amplitude can be renormalized at leading orderwithout any uncertain contact operators. The predicted amplitude defines astringent benchmark for the previous estimation with model-dependent inputs,and greatly reduces the uncertainty of $0\nu\beta\beta$ transition operator inthe calculations of nuclear matrix elements. Generalizations of the presentframework could also help to address the uncertainties in $0\nu\beta\beta$decay induced by other mechanisms. In addition, the present work motivates arelativistic ab initio calculation of $0\nu\beta\beta$ decay in light andmedium-mass nuclei.

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