Cepheid distances from infrared long-baseline interferometry - II. Calibration of the Period-Radius and Period-Luminosity relations

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Abstract
Using our interferometric observations of seven classical Cepheids reported in Kervella et al. (2003, Paper I), complemented by previously existing measurements, we derive new calibrations of the Cepheids Period-Radius (P-R) and Period-Luminosity (P-L) relations. We obtain a P-R relation of log R = [0.767 +/- 0.009] log P + [1.091 +/- 0.011], only 1 sigma away from the relation obtained by Gieren et al. (1998). We therefore confirm their P-R relation at a level of Delta(log R) = +/- 0.02. We also derive an original calibration of the P-L relation, assuming the slopes derived by Gieren et al. (1998) from LMC Cepheids, alpha_K = -3.267 +/- 0.042 and alpha_V = -2.769 +/- 0.073. With a P-L relation of the form M = alpha (log P - 1) + beta, we obtain log P = 1 reference points of beta(K) = -5.904 +/- 0.063 and beta(V) = -4.209 +/- 0.075. Our calibration in the V band is statistically identical to the geometrical result of Lanoix et al. (1999).

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