Measuring the Hubble function with standard candle clustering

Supernova Ia magnitude surveys measure the dimensionless luminosity distance $H_{0}D_{L}$. However, from distances alone one cannot obtain quantities like $H(z)$ or dark energy equation of state, unless further cosmological assumptions are imposed. Here we show that by measuring power spectrum density contrast and peculiar velocities supernovae can estimate also $H(z)/H_{0}$ regardless background linearly perturbed cosmology galaxy-matter bias. This method, dubbed Clustering Standard Candles (CSC) yields redshift distortion parameter $\beta(k,z)$ biased matter in a model-independent way. We forecast an optimistic (pessimistic) LSST may be able to constrain 5-13% (9-40%) bins $\Delta z=0.1$ up at least $z=0.6$.