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.