Theory overview: Why is the neutrino mass important

Neutrinos are the most mysterious and interesting particles of matter known. Their study has provided us with essential information for the construction of the standard model and, subsequently, the only experimental evidence we have that it needs to be extended. This was obtained thanks to neutrino oscillation experiments, that proved that neutrinos have mass.

There are exciting possibilities to deepen further the  study of their mass, first of all by new and more sensitive neutrino oscillation experiments, by direct measurements, and finally, by observing for the first time the transformation called neutrinoless double beta decay - a hypothetical nuclear transition in which two electrons are created.

In this review talk, we will discuss what is the significance of neutrino masses, what are the current theoretical expectations of their value, what are the most promising directions of development for the theory and why it is important to proceed in these studies.