A New Method to Measure Hubble Parameter $H(z)$ using Fast Radio Bursts

The Hubble parameter $H(z)$ is directly related to the expansion of our Universe. It can be used to study dark energy and constrain cosmology models. In this paper, we propose that $H(z)$ can be measured using fast radio bursts (FRBs) with redshift measurements. We use dispersion measures contributed by the intergalactic medium, which is related to $H(z)$, to measure Hubble parameter. We find that 500 mocked FRBs with dispersion measures and redshift information can accurately measure Hubble parameters using Monte Carlo simulation. The maximum deviation of $H(z)$ from standard $\Lambda$CDM model is about 6\% at redshift $z= 2.4$. We also test our method using Monte Carlo simulation. Kolmogorov-Smirnov (K-S) test is used to check the simulation. The $p$-value of K-S test is 0.23, which confirms internal consistency of the simulation. In future, more localizations of FRBs make it as an attractive cosmological probe.