Cepheid distances from infrared long-baseline interferometry

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Abstract
Using our interferometric angular diameter measurements of seven classical Cepheids reported in Kervella et al. ([CITE], A&A, 416, 941 – Paper I), complemented by previously existing measurements, we derive new calibrations of the Cepheid period–radius (P–R) and period–luminosity (P–L) relations. We obtain a P–R relation of , only 1 σ away from the relation obtained by Gieren et al. ([CITE], ApJ, 496, 17). We therefore confirm their P–R relation at a level of . We also derive an original calibration of the P–L relation, assuming the slopes derived by Gieren et al. ([CITE]) from LMC Cepheids, and . With a P–L relation of the form , we obtain reference points of and . Our calibration in the V band is statistically identical to the geometrical result of Lanoix et al. ([CITE], MNRAS, 308, 969).