On the Form of the Spitzer Leavitt Law and its Dependence on Metallicity

The form and metallicity-dependence of Spitzer mid-infrared Cepheid relations are a source of debate. Consequently, Spitzer 3.6 and 4.5 um period-magnitude and period-color diagrams were re-examined via robust routines, thus providing the reader an alternative interpretation to consider. The relations (nearly mean-magnitude) appear non-linear over an extensive baseline (0.45< logPo <2.0), particularly the period-color trend, which to first-order follows constant (3.6-4.5) color for shorter-period Cepheids and may transition into a bluer convex trough at longer-periods. The period-magnitude functions can be described by polynomials (e.g., [3.6 um]=Ko-(3.071+-0.059) logPo-(0.120+-0.032)logPo^2), and Cepheid distances computed using 3.6 and 4.5 um relations agree and the latter provides a first-order consistency check (CO sampled at 4.5 um does not seriously compromise those distances). The period-magnitude relations appear relatively insensitive to metallicity variations ([Fe/H]~0 to -0.75), a conclusion inferred partly from comparing galaxy distances established from those relations and NED-D (n>700), yet a solid conclusion awaits comprehensive mid-infrared observations for metal-poor Cepheids in IC 1613 ([Fe/H] -1). The Cepheid-based distances were corrected for dust obscuration using a new ratio (i.e., A(3.6)/E(B-V)=0.18+-0.06) deduced from GLIMPSE (Spitzer) data.