What do we know about neutrinoless double-beta decay nuclear matrix elements?

Understand

The detection of neutrinoless double-beta decay will establish the Majorana nature of neutrinos.

• In addition, if the nuclear matrix elements of this process are reliably known, the experimental lifetime will provide precious information about the absolute neutrino masses and hierarchy.
• I review the status of nuclear structure calculations for neutrinoless double-beta decay matrix elements, and discuss some key issues to be addressed in order to meet the demand for accurate nuclear matrix elements.