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We use photometry from the recent AllWISE Data Release of the Wide-fieldIn-frared Survey Explorer (WISE) of 129 calibration stars, combined with priordistances obtained from the established $M_V-$[Fe/H] relation and Hubble SpaceTelescope trigonometric parallax, to derive mid-infrared period--luminosityrelations for RR Lyrae pulsating variable stars. We derive relations in the W1,W2, and W3 wavebands (3.4, 4.6, and 12 {\mu}m, respectively), and for each ofthe two main RR Lyrae sub-types (RRab and RRc). We report an error on theperiod--luminosity relation slope for RRab stars of 0.2. We also fit posteriordistances for the calibration catalog and find a median fractional distanceerror of 0.8 per cent.

Mid-Infrared Period--Luminosity Relations of RR Lyrae Stars Derived from the AllWISE Data Release