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A number of recent works have suggested that the period-luminosity (PL)relation for the Large Magellanic Cloud (LMC) Cepheids exhibits a controversialnonlinear feature with a break period at 10 days. Therefore, the aim of thisResearch Note is to test the linearity/nonlinearity of the PL relations for theLMC Cepheids in BVIcJHKs band, as well as in the Wesenheit functions. We showthat simply comparing the long and short period slopes, together with theirassociate d standard deviations, leads to a strictly larger error rate thanapplying rigorous statistical tests such as the F-test. We applied variousstatistical tests to the current published LMC Cepheid data. These statisticaltests include the F-test, the testimator test, and the Schwarz informationcriterion (SIC) method. The results from these statistical tests stronglysuggest that the LMC PL relation is nonlinear in BVIcJH band but linear in theKs band and in the Wesenheit functions. Using the properties of period-colorrelations at maximum light and multi-phase relations, we believe that thenonlinear PL relation is not caused by extinction errors.

Testing the nonlinearity of the BVIcJHKs period-luminosity relations for the Large Magellanic Cloud Cepheids