Neutrinoless double beta (0 nu beta beta) decay is the most promising way to determine whether neutrinos are Majorana particles. There are many experiments based on different isotopes searching for 0 nu beta beta decay. Combining the searches of 0 nu beta beta decay in multiple isotopes provides a possible method to distinguish operators and different models. The contributions to 0 nu beta beta decay come from standard, long-range, and short-range mechanisms. We analyze the scenario in which the standard and short-range operators exist simultaneously within the framework of low-energy effectiv...