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The mid-infrared (MIR) period-luminosity (P-L) relations for Cepheids will beimportant in the JWST era, as it holds the promise of deriving the Hubbleconstant within 2% accuracy. It is expected that the MIR P-L to be insensitiveto metallicity. In this work, we test this assumption of metallicityindependent of the IRAC band P-L relation by applying well-known statisticalmethods to the synthetic P-L slopes from a series of pulsating models withknown metallicity. The statistical tests suggest that the P-L slopes in MIR arelinearly depending on metallicity.

Statistical Tests for the Metallicity Dependency of the Synthetic Cepheid Period-Luminosity Relations in IRAC Bands