# Forecasts for warm dark matter from weakly lensed Type Ia supernovae

## TL;DR

This paper explores how weak gravitational lensing of Type Ia supernovae observed by WFIRST can constrain the mass of warm dark matter particles, providing a lower bound of 0.167 keV.

## Contribution

It introduces a novel method to constrain warm dark matter mass using supernova lensing data and Fisher matrix analysis.

## Key findings

- Lower bound on WDM particle mass: >0.167 keV
- Demonstrates the potential of WFIRST data for dark matter constraints
- Utilizes non-linear matter power spectrum and lensing variance analysis

## Abstract

We investigate the possibility to have a constraint on the mass of thermal warm dark matter (WDM) particle from the expected data of the Wide Field Infrared Survey Telescope (WFIRST) survey if all the dark matter is warm. For this purpose we consider the lensing effect of large scale structure based on the warm dark matter scenario on the apparent magnitude of SNe Ia. We use HALOFIT as non-linear matter power spectrum and the variance of PDF. We preform a Fisher matrix analysis and obtain the lower bound of $m_{\rm WDM}>0.167$keV.