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In this paper we take B-L supersymmetric standard model (B-LSSM) and TeVscale left-right symmetric model (LRSM) as two representations of the two kindsof new physics models to study the nuclear neutrinoless double beta decays($0\nu2\beta$) so as to see the senses onto these two kinds of models when thedecays are taken into account additionally. Within the parameter spaces allowedby all the exist experimental data, the decay half-life of the nucleus$^{76}$Ge and $^{136}$Xe, $T^{0\nu}_{1/2}$($^{76}$Ge, $^{136}$Xe), is preciselycalculated and the results are presented properly. Based on the numericalresults, we conclude that the room of LRSM type models for the foreseeablefuture experimental observations on the decays is greater than that of B-LSSMtype models.

Nuclear $0\nu2\beta$ decays in $B-L$ symmetric SUSY model and in TeV scale left-right symmetric model