Testing the distance-duality relation with the baryon acoustic oscillations data and type Ia supernovae data

In this letter, the cosmic distance-duality relation has been constrained with a model-independent method by combining the baryon acoustic oscillation (BAO) data and the type Ia supernova (SNe Ia) data. The results show that this relation is consistent with the observational data in the 68.27% error range, except for the instance of Union 2.1 plus BAO with the statistic errors only, where the relation is consistent with the observations in the 95.45% error range. To study the result of the uncertainty of the Hubble constant on the investigation of this relation,we treat the dimensionless Hubble constant h as a free parameter and get that the observational data favors the relation in the 68.27% error range. And then h has been marginalized and the results support that this relation is favored by the observations in the 68.27% error range too. (paper)