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We analysed 30 RR Lyrae stars (RRLs) located in the Large Magellanic Cloud(LMC) globular cluster Reticulum that were observed in the 3.6 and 4.5 $\mu$mpassbands with the Infrared Array Camera (IRAC) on board of the Spitzer SpaceTelescope. We derived new mid-infrared (MIR) period-luminosity PL relations.The zero points of the PL relations were estimated using the trigonometricparallaxes of five bright Milky Way (MW) RRLs measured with the Hubble SpaceTelescope (HST) and, as an alternative, we used the trigonometric parallaxespublished in the first Gaia data release (DR1) which were obtained as part ofthe Tycho-Gaia Astrometric Solution (TGAS) and the parallaxes of the same starsreleased with the second Gaia data release (DR2). We determined the distance toReticulum using our new MIR PL relations and found that distances calibrated onthe TGAS and DR2 parallaxes are in a good agreement and, generally, smallerthan distances based on the HST parallaxes, although they are still consistentwithin the respective errors. We conclude that Reticulum is located ~3 kpccloser to us than the barycentre of the LMC.

The Carnegie RR Lyrae Program: Mid-infrared Period-Luminosity relations of RR Lyrae stars in Reticulum