Using multipoles of the correlation function to measure H(z), DA(z) and  (z) from Sloan Digital Sky Survey luminous red galaxies

Galaxy clustering data can be used to measure the cosmic expansion history H(z), the angular diameter distance D A (z) and the linear redshift-space distortion parameter (z). Here we present a method for using effective multipoles of the galaxy two-point correlation function ( 0 (s), 2 (s), 4 (s) and 6 (s), with s denoting the comoving separation) to measure H(z), D A (z) and (z), and validate it using LasDamas mock galaxy catalogues. Our definition of effective multipoles explicitly incorporates the discreteness of measurements, and treats the measured correlation function and its theoretical model on the same footing. We find that for the mock data, 0 + 2 + 4 captures nearly all the information, and gives significantly stronger constraints on H(z), D A (z) and (z), compared to using only 0 + 2 .