Reconstructing the stellar mass distributions of galaxies using S4G IRAC
  3.6 and 4.5 micron images: II. The conversion from light to mass
  We present a new approach for estimating the 3.6 micron stellar mass-to-light
ratio in terms of the [3.6]-[4.5] colors of old stellar populations. Our
approach avoids several of the largest sources of uncertainty in existing
techniques. By focusing on mid-IR wavelengths, we gain a virtually dust
extinction-free tracer of the old stars, avoiding the need to adopt a dust
model to correctly interpret optical or optical/NIR colors normally leveraged
to assign M/L. By calibrating a new relation between NIR and mid-IR colors of
GLIMPSE giant stars we also avoid discrepancies in model predictions for the
[3.6]-[4.5] colors of old stellar populations due to uncertainties in molecular
line opacities. We find that the [3.6]-[4.5] color, which is driven primarily
by metallicity, provides a tight constraint on M/L_3.6, which varies
intrinsically less than at optical wavelengths. The uncertainty on M/L_3.6 of
~0.07 dex due to unconstrained age variations marks a significant improvement
on existing techniques for estimating the stellar M/L with shorter wavelength
data. A single M/L_3.6=0.6 (assuming a Chabrier IMF), independent of
[3.6]-[4.5] color, is also feasible as it can be applied simultaneously to old,
metal-rich and young, metal-poor populations, and still with comparable (or
better) accuracy (~0.1 dex) as alternatives. We expect our M/L_3.6 to be
optimal for mapping the stellar mass distributions in S4G galaxies, for which
we have developed an Independent Component Analysis technique to first isolate
the old stellar light at 3.6 micron from non-stellar emission (e.g. hot dust
and the 3.3 PAH feature). Our estimate can also be used to determine the
fractional contribution of non-stellar emission to global (rest-frame) 3.6
micron fluxes, e.g. in WISE imaging, and establishes a reliable basis for
exploring variations in the stellar IMF.
