Measurement of the Cold Dark Matter-Neutrino Dipole in the TianNu Simulation

TL;DR

This paper investigates the large-scale dipole caused by the relative velocity between cold dark matter and neutrinos using the TianNu Simulation, proposing a new linear response method and comparing it with N-body results.

Contribution

It introduces a novel linear response technique to measure the neutrino-dark matter dipole and validates it against N-body simulations, offering a new approach for cosmological neutrino mass constraints.

Findings

Excellent agreement between linear response and N-body methods.

The neutrino-dark matter dipole can be used with two differently biased tracers.

Provides a new observational tool for neutrino mass measurements.

Abstract

Measurements of neutrino mass in cosmological observations rely on two point statistics that are hindered by significant degeneracies with the optical depth and galaxy bias. The relative velocity effect between cold dark matter and neutrinos induces a large scale dipole into the matter density field and may be able to provide orthogonal constraints to standard techniques. We numerically investigate this dipole in the TianNu Simulation, which contains cold dark matter and 50 meV neutrinos. We first compute the dipole using a new linear response technique where we treat the displacement caused by the relative velocity as a phase in Fourier space and then integrate the matter power spectrum over redshift. Then, we compute the dipole numerically in real space using the simulation density and velocity fields. We find excellent agreement between the linear response and N-body methods. Utilizing the dipole as an observational tool will require two tracers of the matter distribution that are differently biased with respect to the neutrino density.