Constraining neutrino mass and dark energy with peculiar velocities and lensing dispersions of Type Ia supernovae

Understand

We show that peculiar velocities of Type Ia supernovae can be used to derive constraints on the sum of neutrino masses, $\Sigma m_{\nu}$, and dark energy equation of state, $w = w_0+w_a(1-a)$, from measurements of the magnitude-redshift relation, complementary to galaxy redshift and weak lensing surveys.

• Light from a supernova propagates through a perturbed Universe so the luminosity distance is modified from its homogeneous prediction.
• This modification is proportional to the matter density fluctuation and its time derivative due to gravitational lensing and peculiar velocity respectively.
• At low redshifts, the peculiar velocity signal dominates while at high redshifts lensing does.