Semi-Empirical Cepheid Period-Luminosity Relations in Sloan Magnitudes

TL;DR

This paper derives semi-empirical Cepheid period-luminosity relations in Sloan magnitudes by combining observational data from the LMC with theoretical models, providing consistent relations for use in distance measurements.

Contribution

It introduces semi-empirical P-L relations in Sloan bands by integrating observed and theoretical data, enhancing calibration accuracy.

Findings

Semi-empirical P-L relations are consistent with empirical relations.

Derived relations are applicable for distance measurements using Sloan magnitudes.

The approach combines observational data with theoretical models for improved calibration.

Abstract

In this paper we derive semi-empirical Cepheid period-luminosity (P-L) relations in the Sloan ugriz magnitudes by combining the observed BVI mean magnitudes from the Large Magellanic Cloud Cepheids (LMC) and theoretical bolometric corrections. We also constructed empirical gr band P-L relations, using the publicly available Johnson-Sloan photometric transformations, to be compared with our semi-empirical P-L relations. These two sets of P-L relations are consistent with each other.