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The neutrinoless double beta decay is analyzed using a general Lorentzinvariant effective Lagrangian for various decaying nuclei of currentexperimental interest: $^{76}$Ge, $^{82}$Se, $^{100}$Mo, $^{130}$Te, and$^{136}$Xe. We work out the half-lives and angular correlation coefficients ofthe outgoing electrons in several scenarios for new physics: the left-rightsymmetric models, the R-parity-violating SUSY and models with leptoquarks. Thetheoretical uncertainty in the nuclear matrix elements is discussed.

Neutrinoless double beta decay: searching for new physics with comparison of different nuclei