RR Lyrae Period--Mid-infrared-luminosity Relations Dervied from the WISE Preliminary Data Release

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RR Lyrae type pulsating variable stars are good distance indicators within the Galaxy and its local neighborhood. Extensive previous work in the optical and more recently in the near-infrared has resulted in predictive period-luminosity (PL) relations with distance modulus uncertainties 0.15 mag. The PL relations of RR Lyrae are a significant component of the local distance ladder and any improvement in accuracy locally extends out to improved accuracy at cosmological scales. The recently available Wide-field Infrared Survey Explorer (WISE) Preliminary Data Release contains mid-infrared multi-epoch photometry for 77 of the 144 RR Lyrae type variables with Hipparcos-derived distances. Using these stars we derive new mid-infrared period-luminosity relations in the WISE W1 (3.4 µm), W2 (4.6 µm), and W3 (12 µm) bands which combine to yield an average distance modulus uncertainty 0.046 mag, and demonstrate these relations' robustness to metallicity. We anticipate that future similar analysis of RR Lyrae variables in the full WISE dataset could yield PL relations with fractional distance uncertainties <1%.

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