Period-luminosity and period-luminosity-metallicity relations for Galactic RR Lyrae stars in the Sloan bands

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Volume 689 (September 2024)

A&A, 689 (2024) A138

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Table 3.

Determined PLZ and PWZ relations for Galactic RR Lyr stars of type RRab and the RRab+RRc population using metallicities from Crestani et al. (2021a,b).

Band	Type	a_λ	b_λ	c_λ	rms	N
(Parallax method):

g	RRab	−0.527 ± 0.602	0.794 ± 0.028	0.264 ± 0.069	0.14	31
g	RRab+RRc	−0.284 ± 0.439	0.791 ± 0.028	0.289 ± 0.053	0.14	35

r	RRab	−1.230 ± 0.493	0.651 ± 0.023	0.205 ± 0.056	0.12	31
r	RRab+RRc	−1.017 ± 0.362	0.650 ± 0.023	0.228 ± 0.044	0.12	35

i	RRab	−1.682 ± 0.442	0.635 ± 0.021	0.174 ± 0.050	0.11	31
i	RRab+RRc	−1.469 ± 0.328	0.633 ± 0.021	0.198 ± 0.040	0.11	35

$W_{r}^{ri}$ $W_{r}^{ri}$	RRab	−3.061 ± 0.370	0.584 ± 0.017	0.082 ± 0.042	0.09	31
$W_{r}^{ri}$ $W_{r}^{ri}$	RRab+RRc	−2.848 ± 0.275	0.583 ± 0.018	0.105 ± 0.033	0.09	35

$W_{g}^{gr}$ $W^{gr}_{g}$	RRab	−3.273 ± 0.415	0.239 ± 0.020	0.033 ± 0.047	0.10	31
$W_{g}^{gr}$ $W^{gr}_{g}$	RRab+RRc	−3.148 ± 0.305	0.238 ± 0.019	0.050 ± 0.037	0.10	35

$W_{g}^{gi}$ $W_{g}^{gi}$	RRab	−3.154 ± 0.368	0.433 ± 0.017	0.060 ± 0.042	0.09	31
$W_{g}^{gi}$ $W_{g}^{gi}$	RRab+RRc	−2.979 ± 0.271	0.432 ± 0.017	0.081 ± 0.033	0.09	35
(ABL method):

g	RRab	−0.503 ± 0.550	0.798 ± 0.028	0.266 ± 0.063	0.14	31
g	RRab+RRc	−0.290 ± 0.420	0.795 ± 0.028	0.290 ± 0.049	0.14	35

r	RRab	−1.227 ± 0.457	0.655 ± 0.023	0.204 ± 0.052	0.12	31
r	RRab+RRc	−1.031 ± 0.349	0.652 ± 0.023	0.227 ± 0.041	0.12	35

i	RRab	−1.673 ± 0.413	0.638 ± 0.021	0.175 ± 0.047	0.11	31
i	RRab+RRc	−1.479 ± 0.317	0.635 ± 0.022	0.197 ± 0.037	0.11	35

$W_{r}^{ri}$ $W_{r}^{ri}$	RRab	−3.027 ± 0.362	0.587 ± 0.019	0.084 ± 0.042	0.09	31
$W_{r}^{ri}$ $W_{r}^{ri}$	RRab+RRc	−2.837 ± 0.274	0.585 ± 0.020	0.107 ± 0.032	0.09	35

$W_{g}^{gr}$ $W^{gr}_{g}$	RRab	−3.347 ± 0.404	0.241 ± 0.021	0.019 ± 0.047	0.10	31
$W_{g}^{gr}$ $W^{gr}_{g}$	RRab+RRc	−3.178 ± 0.303	0.240 ± 0.022	0.042 ± 0.036	0.10	35

$W_{g}^{gi}$ $W_{g}^{gi}$	RRab	−3.169 ± 0.362	0.435 ± 0.019	0.055 ± 0.042	0.09	31
$W_{g}^{gi}$ $W_{g}^{gi}$	RRab+RRc	−2.987 ± 0.273	0.433 ± 0.019	0.078 ± 0.032	0.09	35

(Geometric distances):

g	RRab	−0.389 ± 0.617	0.792 ± 0.029	0.267 ± 0.070	0.15	31
g	RRab+RRc	−0.217 ± 0.447	0.790 ± 0.029	0.285 ± 0.054	0.15	35

r	RRab	−1.092 ± 0.509	0.650 ± 0.024	0.208 ± 0.058	0.12	31
r	RRab+RRc	−0.950 ± 0.371	0.648 ± 0.024	0.223 ± 0.045	0.12	35

i	RRab	−1.544 ± 0.461	0.633 ± 0.022	0.177 ± 0.053	0.11	31
i	RRab+RRc	−1.402 ± 0.338	0.632 ± 0.022	0.193 ± 0.041	0.11	35

$W_{r}^{ri}$ $W_{r}^{ri}$	RRab	−2.923 ± 0.393	0.583 ± 0.019	0.085 ± 0.045	0.09	31
$W_{r}^{ri}$ $W_{r}^{ri}$	RRab+RRc	−2.824 ± 0.300	0.580 ± 0.019	0.096 ± 0.036	0.10	35

$W_{g}^{gr}$ $W^{gr}_{g}$	RRab	−3.135 ± 0.430	0.237 ± 0.020	0.036 ± 0.049	0.10	31
$W_{g}^{gr}$ $W^{gr}_{g}$	RRab+RRc	−3.124 ± 0.327	0.236 ± 0.021	0.040 ± 0.039	0.11	35

$W_{g}^{gi}$ $W_{g}^{gi}$	RRab	−3.016 ± 0.388	0.431 ± 0.018	0.063 ± 0.044	0.09	31
$W_{g}^{gi}$ $W_{g}^{gi}$	RRab+RRc	−2.955 ± 0.297	0.429 ± 0.019	0.071 ± 0.036	0.10	35

(Photo-geometric distances):

g	RRab	−0.473 ± 0.623	0.791 ± 0.030	0.257 ± 0.072	0.15	31
g	RRab+RRc	−0.260 ± 0.456	0.789 ± 0.029	0.280 ± 0.055	0.15	35

r	RRab	−1.177 ± 0.525	0.650 ± 0.025	0.198 ± 0.060	0.13	31
r	RRab+RRc	−0.993 ± 0.382	0.647 ± 0.024	0.218 ± 0.046	0.12	35

i	RRab	−1.629 ± 0.478	0.633 ± 0.023	0.168 ± 0.054	0.11	31
i	RRab+RRc	−1.445 ± 0.349	0.631 ± 0.022	0.188 ± 0.042	0.11	35

$W_{r}^{ri}$ $W_{r}^{ri}$	RRab	−3.008 ± 0.411	0.582 ± 0.019	0.075 ± 0.047	0.10	31
$W_{r}^{ri}$ $W_{r}^{ri}$	RRab+RRc	−2.835 ± 0.299	0.580 ± 0.019	0.095 ± 0.036	0.10	35

$W_{g}^{gr}$ $W^{gr}_{g}$	RRab	−3.220 ± 0.450	0.236 ± 0.021	0.026 ± 0.051	0.11	31
$W_{g}^{gr}$ $W^{gr}_{g}$	RRab+RRc	−3.135 ± 0.328	0.236 ± 0.021	0.039 ± 0.040	0.11	35

$W_{g}^{gi}$ $W_{g}^{gi}$	RRab	−3.101 ± 0.408	0.430 ± 0.019	0.054 ± 0.047	0.10	31
$W_{g}^{gi}$ $W_{g}^{gi}$	RRab+RRc	−2.967 ± 0.296	0.430 ± 0.019	0.070 ± 0.036	0.10	35

Notes. Band: the Pan-STARRS g_P1r_P1i_P1 bands and Wesenheit indicates constructed using reddening vectors from Green et al. (2019); type: varibility type of RR Lyr star; a_λ: slope of the fit; b_λ: zero point of the fit; c_λ: metallicity coefficient; rms: a root mean square of derived relations; N: number of stars used for fitting. Pivot logarithm used for fitting was log P₀ = −0.25 for RRab and RRab+RRc stars. Pivot metallicity values was chosen to be [Fe/H]₀ = −1.5. Fundamentalization according to Iben (1974): log P_ab = log P_c + 0.127.

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