  Cosmic voids are a powerful probe of cosmology and are one of the core
observables of upcoming galaxy surveys. The cross-correlations between voids
and other large-scale structure tracers such as galaxy clustering and galaxy
lensing have been shown to be very sensitive probes of cosmology and among the
most promising to probe the nature of gravity and the neutrino mass. However,
recent measurements of the void imprint on the lensed Cosmic Microwave
Background (CMB) have been shown to be in tension with expectations based on
LCDM simulations, hinting to a possibility of non-standard cosmological
signatures due to massive neutrinos. In this work we use the DEMNUni
cosmological simulations with massive neutrino cosmologies to study the
neutrino impact on voids selected in photometric surveys, e.g. via Luminous Red
Galaxies, as well as on the void- CMB lensing cross-correlation. We show how
the void properties observed in this way (size function, profiles) are affected
by the presence of massive neutrinos compared to the neutrino massless case,
and show how these can vary as a function of the selection method of the void
sample. We comment on the possibility for massive neutrinos to be the source of
the aforementioned tension. Finally, we identify the most promising setup to
detect signatures of massive neutrinos in the voids-CMB lensing
cross-correlation and define a new quantity useful to distinguish among
different neutrino masses by comparing future observations against predictions
from simulations including massive neutrinos.
