The effects of massive neutrinos on the linear point of the correlation
  function
  The linear point (LP), defined as the mid-point between the dip and the peak
of the two-point clustering correlation function (TPCF), has been shown to be
an excellent standard ruler for cosmology. In fact, it is nearly
redshift-independent, being weakly sensitive to non-linearities,
scale-dependent halo bias and redshift-space distortions. So far, these
findings were tested assuming that neutrinos are massless; in this paper we
extend the analysis to massive-neutrino cosmologies. In particular, we examine
if the scale-dependent growth induced by neutrinos affects the LP position and
if it is possible to detect the neutrino masses using the shift of the LP
compared to the massless-neutrino case. For our purposes, we employ two sets of
state-of-the-art $N$-body simulations with massive neutrinos. For each of them
we measure the TPCF of cold dark matter (CDM) and halos and, to estimate the
LP, fit the TPCF with a model-independent parametric fit in the range of scales
of the Baryon Acoustic Oscillations (BAO). Overall, we find that the LP retains
its features as a standard ruler even when neutrinos are massive. The cosmic
distances measured with the LP can therefore be employed to constrain the
neutrino mass.
