Extracting host galaxy dispersion measure and constraining cosmological parameters using fast radio burst data

Understand

The excessive dispersion measures (DMs) and high Galactic latitudes of fast radio bursts (FRBs) hint toward a cosmological origin of these mysterious transients.

• Methods of using measured DM and redshift $z$ to study cosmology have been proposed, but one needs to assume a certain amount of DM contribution from the host galaxy (DM$_{\rm HG}$) in order to apply those methods.
• We introduce a slope parameter $\beta(z) \equiv d \ln \left< {\rm DM}_{\rm E} \right> / d \ln z$ (where DM$_{\rm E}$ is the observed DM subtracting the Galactic contribution), which can be directly measured when a sample of FRBs have $z$ measured.
• We show that $\left< {\rm DM_{HG}}\right>$ can be roughly inferred from $\beta$ and the mean values, $\overline{\rm \left<DM_{\rm E}\right>}$ and $\bar z$, of the sample.