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We present a new distance estimation for the Milky Way dwarf spheroidalsatellite Sculptor obtained from multi-epoch mid-infrared observations of RRLyrae stars. The 3.6 {\mu}m observations have been acquired with the InfraredArray Camera on board the Spitzer Space Telescope as part of the SMHASHProgram. Mid-infrared light curves for 42 RRL were obtained, from which wemeasured Sculptor's distance modulus to be {\mu} = 19.60 $\pm$ 0.02(statistical) $\pm$ 0.04 (photometric) mag (with $\sigma_{sys}=$ = 0.09 mag),using the 3.6 {\mu}m empirical period-luminosity relations derived from theGalactic globular cluster M4, or {\mu} = 19.57 $\pm$ 0.02 (statistical) $\pm$0.04 (photometric) mag (with $\sigma_{sys}=$ = 0.11 mag) using empiricalrelations in the same passband recently derived from the Large Magellanic Cloudglobular cluster Reticulum. Both these measurements are in good agreement withvalues presented in previous works with Sculptor RR Lyrae stars in opticalbands, and are also consistent with recent near-infrared RR Lyrae results. Bestagreement with the literature is found for the latter modulus which isequivalent to a distance of d = 82 $\pm$ 1 (statistical) $\pm$ 2 (photometric)kpc (with $\sigma_{sys}=$ = 4 kpc). Finally, using a subsample of RR Lyraestars with spectroscopic metallicities, we demonstrate that these distanceestimates are not affected by metallicity effects.

SMHASH: A new mid-infrared RR Lyrae distance determination for the Local Group dwarf spheroidal galaxy Sculptor