  We consider one loop QCD corrections and renormalization group running of the
neutrinoless double beta decay amplitude focusing on the short-range part of
the amplitude (without the light neutrino exchange) and find that these
corrections can be sizeable. Depending on the operator under consideration,
there can be moderate to large cancellations or significant enhancements. We
discuss several specific examples in this context. Such large corrections will
lead to significant shifts in the half-life estimates which currently are known
to be plagued with the uncertainties due to nuclear physics inputs to the
physical matrix elements.
