| Type la Supernova observation data is one of the important and effective indicator in cosmology, however today’s research shows that la Supernova can not be treated as standard candle, because the structure and composition of Supernova are complicated, and specific mechanisms of Supernova is not clear. It needs to be normalized in the analysis process. Therefore, there exist a large number of systematic uncertainties, and some of these have great effect on cosmology fitting. In this paper, we explore the effects of varying β on cosmology constraints on holographic dark energy. To break the degeneracy between various model parameters, we include the Planck distance prior data. We also study the effects of different light-curve fitters on parameter estimation. We find that β deviates from a constant at the 6σ. This indicates that the evolution of β should be taken into account. We also find that compared to the constant β case, varying β yields a larger Ωm, a larger c and a smaller h. In addition, we find that compared to the differences between constant β and varying β(z) cases, the effects of different light-curve fitters are very small. |