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Employing four different parametrization of the pairing plus multipolar typeof effective two-body interaction and three different parametrizations ofJastrow-type of short range correlations, the uncertainties in the nucleartransition matrix elements $M_{N}^{(0\nu)}$ due to the exchange of heavyMajorana neutrino for the $0^{+}\rightarrow 0^{+}$ transition of neutrinolessdouble beta decay of $^{94}$Zr, $^{96}$Zr, $^{98}$Mo, $^{100}$Mo, $^{104}$Ru,$^{110}$Pd, $^{128,130}$Te and $^{150}$Nd isotopes in the PHFB model areestimated to be around 25%. Excluding the nuclear transition matrix elementscalculated with Miller-Spenser parametrization of Jastrow short rangecorrelations, the uncertainties are found to be 10%-15% smaller.

Uncertainties in nuclear transition matrix elements for neutrinoless $\beta \beta $ decay II: the heavy Majorana neutrino mass mechanism