Neutrino footprint in Large Scale Structure
  Recent constrains on the sum of neutrino masses inferred by analyzing
cosmological data, show that detecting a non-zero neutrino mass is within reach
of forthcoming cosmological surveys, implying a direct determination of the
absolute neutrino mass scale. The measurement relies on constraining the shape
of the matter power spectrum below the neutrino free streaming scale: massive
neutrinos erase power at these scales. Detection of a lack of small-scale
power, however, could also be due to a host of other effects. It is therefore
of paramount importance to validate neutrinos as the source of power
suppression at small scales. We show that, independent on hierarchy, neutrinos
always show a footprint on large, linear scales; the exact location and
properties can be related to the measured power suppression (an astrophysical
measurement) and atmospheric neutrinos mass splitting (a neutrino oscillation
experiment measurement). This feature can not be easily mimicked by systematic
uncertainties or modifications in the cosmological model. The measurement of
such a feature, up to 1% relative change in the power spectrum, is a smoking
gun for confirming the determination of the absolute neutrino mass scale from
cosmological observations. It also demonstrates the synergy of astrophysics and
particle physics experiments.
