Cepheid Metallicity in the Leavitt Law (C–MetaLL) survey - IX. Metallicity dependence of period-Wesenheit relations based on a homogeneous spectroscopic sample

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Volume 708 (April 2026)

A&A, 708 (2026) A216

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Table H.1.

Results of the photometric parallax fit to the PWZ relation in different bands using a linear dependence on the G mag for the Gaia parallax counter-correction.

Wesenheit	α	σ_α^low	σ_α^high	β	σ_β^low	σ_β^high	γ	σ_γ^low	σ_γ^high	z	σ_z^low	σ_z^high	p	σ_p^low	σ_p^high	N	μ_LMC	σμ_LMC	AIC	BIC
Linear dependence of Gaia parallax ZP correction on G

Gaia	-6.201	0.061	0.061	-3.41	0.065	0.069	-0.494	0.103	0.1	-0.105	0.027	0.027	0.006	0.002	0.002	270	18.641	0.082	342	360
VI_C89	-6.21	0.058	0.062	-3.357	0.069	0.071	-0.613	0.106	0.101	-0.094	0.028	0.028	0.006	0.002	0.002	267	18.514	0.083	290	308
VI_F99	-5.934	0.058	0.058	-3.227	0.068	0.068	-0.417	0.1	0.097	-0.063	0.028	0.028	0.003	0.002	0.002	274	18.498	0.08	349	367
cVI	-5.828	0.056	0.057	-3.143	0.061	0.063	-0.33	0.093	0.09	0.011	0.029	0.029	-0.002	0.002	0.002	272	18.354	0.074	320	338
cHVI	-6.058	0.054	0.057	-3.247	0.061	0.061	-0.506	0.094	0.089	-0.04	0.028	0.028	0.002	0.002	0.002	270	18.451	0.074	327	345
VKs	-6.174	0.057	0.058	-3.356	0.062	0.063	-0.447	0.093	0.089	-0.069	0.028	0.028	0.004	0.002	0.002	271	18.533	0.076	349	367
JKs_C89	-6.201	0.056	0.057	-3.415	0.062	0.064	-0.366	0.092	0.092	-0.069	0.027	0.027	0.004	0.002	0.002	271	18.514	0.075	331	349
JKs_F99	-6.266	0.056	0.059	-3.45	0.062	0.064	-0.367	0.095	0.092	-0.081	0.027	0.027	0.005	0.002	0.002	271	18.538	0.076	333	351

Quadratic dependence on [Fe/H]

Wesenheit	α	σ_α^low	σ_α^high	β	σ_β^low	σ_β^high	γ1	$σ_{γ 1}^{low}$ $Mathematical equation: $ \sigma_{\gamma 1}^{low} $$	$σ_{γ 1}^{high}$ $Mathematical equation: $ \sigma_{\gamma 1}^{high} $$	γ2	$σ_{γ 2}^{low}$ $Mathematical equation: $ \sigma_{\gamma 2}^{low} $$	$σ_{γ 2}^{high}$ $Mathematical equation: $ \sigma_{\gamma 2}^{high} $$	ϵ	σ_ϵ^low	σ_ϵ^high	N	μ_LMC	σμ_LMC	AIC	BIC

Gaia	-6.042	0.035	0.035	-3.31	0.053	0.056	-0.646	0.123	0.123	-0.28	0.18	0.181	-0.017	0.004	0.004	270	18.47	0.07	354	372
VI_C89	-6.069	0.035	0.036	-3.265	0.058	0.06	-0.734	0.138	0.136	-0.214	0.189	0.194	-0.011	0.004	0.004	267	18.369	0.076	296	314
VI_F99	-5.845	0.033	0.034	-3.173	0.055	0.057	-0.649	0.129	0.128	-0.438	0.171	0.175	-0.018	0.004	0.004	274	18.342	0.071	346	364
cVI	-5.861	0.033	0.034	-3.175	0.054	0.053	-0.437	0.119	0.123	-0.264	0.165	0.164	-0.015	0.004	0.004	272	18.329	0.065	318	336
cHVI	-6.007	0.032	0.033	-3.219	0.051	0.052	-0.6	0.117	0.116	-0.212	0.171	0.173	-0.01	0.004	0.004	270	18.374	0.065	328	346
VKs	-6.068	0.033	0.032	-3.292	0.05	0.051	-0.578	0.113	0.112	-0.254	0.155	0.158	-0.009	0.004	0.004	271	18.406	0.064	352	370
JKs_C89	-6.096	0.033	0.033	-3.346	0.051	0.052	-0.473	0.116	0.116	-0.189	0.162	0.164	-0.007	0.004	0.004	271	18.399	0.065	331	349
JKs_F99	-6.14	0.033	0.034	-3.369	0.051	0.052	-0.489	0.116	0.114	-0.217	0.158	0.159	-0.007	0.004	0.004	271	18.403	0.065	335	353

Notes. Note that z and p are correlated by z + p × G, where G is the GaiaG magnitude. Their units are mas and mas/mag, respectively. Concerning γ1 and γ1, their units are mag/dex and mag/dex², respectively.

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