Uncertainties in nuclear transition matrix elements for neutrinoless ββ decay: the heavy Majorana neutrino mass mechanism

Abstract

Employing four different parametrizations of the pairing plus the multipolar type of effective two-body interaction and three different parametrizations of the Jastrow type of short-range correlations, the uncertainties in the nuclear transition matrix elements MN0ν due to the exchange of heavy Majorana neutrino for the 0 +→0 + transition of neutrinoless double beta decay of 94Zr, 96Zr, 98Mo, 100Mo, 104Ru, 110Pd, 128 ,130Te, and 150Nd isotopes in the PHFB model are estimated to be around 35%. Excluding the nuclear transition matrix elements calculated with the Miller-Spencer parametrization of Jastrow short-range correlations, the uncertainties are found to be smaller than 20%.