Chiral EFT corrections to the 2νββ electron spectrum from weak magnetism and pion exchange appear at next-to-leading order and must be included in searches for new physics.
Search for exotic physics in double-$\beta$ decays with GERDA Phase II
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A search for Beyond the Standard Model double-$\beta$ decay modes of $^{76}$Ge has been performed with data collected during the Phase II of the GERmanium Detector Array (GERDA) experiment, located at Laboratori Nazionali del Gran Sasso of INFN (Italy). Improved limits on the decays involving Majorons have been obtained, compared to previous experiments with $^{76}$Ge, with half-life values on the order of 10$^{23}$ yr. For the first time with $^{76}$Ge, limits on Lorentz invariance violation effects in double-$\beta$ decay have been obtained. The isotropic coefficient $\mathring{a}_\text{of}^{(3)}$, which embeds Lorentz violation in double-$\beta$ decay, has been constrained at the order of $10^{-6}$ GeV. We also set the first experimental limits on the search for light exotic fermions in double-$\beta$ decay, including sterile neutrinos.
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$2\nu\beta\beta$ Spectrum in Chiral Effective Field Theory
Chiral EFT corrections to the 2νββ electron spectrum from weak magnetism and pion exchange appear at next-to-leading order and must be included in searches for new physics.