Search for Majoron-like particles with CUPID-0

Abstract

We present the first search for the Majoron-emitting modes of the neutrinoless double $\beta$ decay ($0\nu \beta \beta {\chi }_0$) using scintillating cryogenic calorimeters. We analysed the CUPID-0 Phase I data using a Bayesian approach to reconstruct the background sources activities, and evaluate the potential contribution of the ${}^{82}$Se $0\nu \beta \beta {\chi }_0$. We considered several possible theoretical models which predict the existence of a Majoron-like boson coupling to the neutrino. The energy spectra arising from the emission of such bosons in the neutrinoless double $\beta$ decay have spectral indices $n=$ 1, 2, 3 or 7. We found no evidence of any of these decay modes, setting a lower limit (90% of credibility interval) on the half-life of 1.2 $\times$ 10${}^{23}$ yr in the case of $n=$ 1, 3.8 $\times$ 10${}^{22}$ yr for $n=$ 2, 1.4 $\times$ 10${}^{22}$ yr for $n=$ 3 and 2.2 $\times$ 10${}^{21}$ yr for $n=$ 7. These are the best limits on the $0\nu \beta \beta {\chi }_0$ half-life of the ${}^{82}$Se, and demonstrate the potentiality of the CUPID-0 technology in this field.

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