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Cosmological neutrinos have their greatest influence in voids: these are theregions with the highest neutrino to dark matter density ratios. The markedpower spectrum can be used to emphasize low density regions over high densityregions, and therefore is potentially much more sensitive than the powerspectrum to the effects of neutrino masses. Using 22,000 N-body simulationsfrom the Quijote suite, we quantify the information content in the marked powerspectrum of the matter field, and show that it outperforms the standard powerspectrum by setting constraints improved by a factor larger than 2 on allcosmological parameters. The combination of marked and standard power spectrumallows to place a 4.3{\sigma} constraint on the minimum sum of the neutrinomasses with a volume equal to 1 (Gpc/h)^3 and without CMB priors. Combinationsof different marked power spectra yield a 6{\sigma} constraint within the sameconditions.

Using the Marked Power Spectrum to Detect the Signature of Neutrinos in Large-Scale Structure