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 A.2.

ZP shift from the comparison with empirical PLZ relations.

Sesar et al. (2017)
filter	parallax	ABL method	geometric distances	photo-geometric distances
[Fe/H]_a = −0.5 dex; log P_a = −0.25 days

$M_{g}^{P 1}$ $M^{P1}_{g}$ (RRab)	0.241	0.247	0.242	0.231
$M_{r}^{P 1}$ $M^{P1}_{r}$ (RRab)	0.211	0.214	0.213	0.203
$M_{i}^{P 1}$ $M^{P1}_{i}$ (RRab)	0.219	0.223	0.220	0.211

[Fe/H]_a = −2.0 dex; log P_a = −0.25 days; M_i

[α/Fe] (dex)	parallax	ABL method	geometric distances	photo-geometric distances
$M_{g}^{P 1}$ $M^{P1}_{g}$ (RRab)	-0.036	-0.033	-0.039	-0.035
$M_{r}^{P 1}$ $M^{P1}_{r}$ (RRab)	0.039	0.043	0.036	0.041
$M_{i}^{P 1}$ $M^{P1}_{i}$ (RRab)	0.078	0.081	0.075	0.079

Vivas et al. (2017)

[Fe/H]_a = −1.25 dex (M5); log P_a = −0.25 days; DM_a = 14.44 mag

$M_{g}^{P 1}$ $M^{P1}_{g}$ (RRab)	0.335	0.339	0.334	0.330
$M_{r}^{P 1}$ $M^{P1}_{r}$ (RRab)	0.252	0.256	0.252	0.249
$M_{i}^{P 1}$ $M^{P1}_{i}$ (RRab)	0.226	0.229	0.225	0.223

[Fe/H]_a = −1.25 dex (M5); log P_a = −0.25 days; DM_a = 14.37 mag

$M_{g}^{P 1}$ $M^{P1}_{g}$ (RRab)	0.265	0.269	0.264	0.260
$M_{r}^{P 1}$ $M^{P1}_{r}$ (RRab)	0.182	0.186	0.182	0.179
$M_{i}^{P 1}$ $M^{P1}_{i}$ (RRab)	0.156	0.159	0.155	0.153

Bhardwaj et al. (2021)

[Fe/H]_a = −2.33 dex (M15); log P_a = −0.25 days; DM_a = 15.15 mag

$M_{g}^{SDSS}$ $M^{SDSS}_{g}$ (RRab)	0.174	0.176	0.170	0.177
$M_{i}^{SDSS}$ $M^{SDSS}_{i}$ (RRab)	0.210	0.213	0.206	0.213
$M_{g}^{SDSS}$ $M^{SDSS}_{g}$ (RRab+RRc)	0.179	0.182	0.181	0.185
$M_{i}^{SDSS}$ $M^{SDSS}_{i}$ (RRab+RRc)	0.197	0.200	0.200	0.203

Ngeow et al. (2022)

[Fe/H]_a = −0.5 dex; log P_a = −0.25 days

$M_{g}^{P 1}$ $M^{P1}_{g}$ (RRab)	0.413	0.419	0.414	0.403
$M_{r}^{P 1}$ $M^{P1}_{r}$ (RRab)	0.316	0.319	0.318	0.308
$M_{i}^{P 1}$ $M^{P1}_{i}$ (RRab)	0.280	0.284	0.281	0.272
$W_{ri}^{P 1}$ $W^{P1}_{ri}$ (RRab)	0.019	0.024	0.021	0.010
$W_{gr}^{P 1}$ $W^{P1}_{gr}$ (RRab)	0.111	0.099	0.112	0.101
$W_{gi}^{P 1}$ $W^{P1}_{gi}$ (RRab)	0.035	0.032	0.036	0.026
$M_{g}^{P 1}$ $M^{P1}_{g}$ (RRab+RRc)	0.366	0.371	0.361	0.355
$M_{r}^{P 1}$ $M^{P1}_{r}$ (RRab+RRc)	0.304	0.305	0.297	0.291
$M_{i}^{P 1}$ $M^{P1}_{i}$ (RRab+RRc)	0.299	0.300	0.293	0.287
$W_{ri}^{P 1}$ $W^{P1}_{ri}$ (RRab+RRc)	0.060	0.068	0.052	0.051
$W_{gr}^{P 1}$ $W^{P1}_{gr}$ (RRab+RRc)	0.198	0.192	0.186	0.185
$W_{gi}^{P 1}$ $W^{P1}_{gi}$ (RRab+RRc)	0.085	0.083	0.072	0.072

[Fe/H]_a = −2.0 dex; log P_a = −0.25 days

$M_{g}^{P 1}$ $M^{P1}_{g}$ (RRab)	0.255	0.258	0.252	0.256
$M_{r}^{P 1}$ $M^{P1}_{r}$ (RRab)	0.217	0.221	0.214	0.219
$M_{i}^{P 1}$ $M^{P1}_{i}$ (RRab)	0.235	0.238	0.232	0.236
$W_{ri}^{P 1}$ $W^{P1}_{ri}$ (RRab)	0.186	0.188	0.184	0.188
$W_{gr}^{P 1}$ $W^{P1}_{gr}$ (RRab)	0.150	0.148	0.136	0.140
$W_{gi}^{P 1}$ $W^{P1}_{gi}$ (RRab)	0.158	0.163	0.154	0.158
$M_{g}^{P 1}$ $M^{P1}_{g}$ (RRab+RRc)	0.218	0.221	0.219	0.220
$M_{r}^{P 1}$ $M^{P1}_{r}$ (RRab+RRc)	0.194	0.197	0.195	0.196
$M_{i}^{P 1}$ $M^{P1}_{i}$ (RRab+RRc)	0.176	0.177	0.176	0.177
$W_{ri}^{P 1}$ $W^{P1}_{ri}$ (RRab+RRc)	0.130	0.131	0.131	0.132
$W_{gr}^{P 1}$ $W^{P1}_{gr}$ (RRab+RRc)	0.138	0.144	0.141	0.142
$W_{gi}^{P 1}$ $W^{P1}_{gi}$ (RRab+RRc)	0.116	0.118	0.118	0.119

Notes. The shifts were calculated for adopted iron abundance [Fe/H]_a, constant period log P_a.

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