Table G.1.
Results of the photometric parallax fit to the PWZ relations with variations with respect to the baseline (see text).
| Wesenheit | α | σαlow | σαhigh | β | σβlow | σβhigh | γ | σγlow | σγhigh | ϵ | σϵlow | σϵhigh | N | μLMC | σμLMC | AIC | BIC |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| PWZ relations using sigma Clipping | |||||||||||||||||
| Gaia | -6.038 | 0.022 | 0.022 | -3.309 | 0.034 | 0.035 | -0.585 | 0.061 | 0.058 | -0.015 | 0.003 | 0.003 | 268 | 18.491 | 0.042 | 716 | 730 |
| VI_C89 | -6.078 | 0.022 | 0.023 | -3.273 | 0.036 | 0.037 | -0.628 | 0.063 | 0.062 | -0.012 | 0.003 | 0.003 | 267 | 18.418 | 0.043 | 639 | 654 |
| VI_F99 | -5.871 | 0.022 | 0.021 | -3.183 | 0.037 | 0.037 | -0.393 | 0.059 | 0.058 | -0.019 | 0.003 | 0.002 | 274 | 18.467 | 0.039 | 766 | 781 |
| cVI | -5.877 | 0.021 | 0.021 | -3.183 | 0.036 | 0.035 | -0.278 | 0.059 | 0.059 | -0.016 | 0.003 | 0.003 | 272 | 18.406 | 0.037 | 684 | 699 |
| cHVI | -6.001 | 0.021 | 0.021 | -3.212 | 0.033 | 0.033 | -0.564 | 0.058 | 0.057 | -0.008 | 0.003 | 0.003 | 269 | 18.387 | 0.039 | 671 | 685 |
| VKs | -6.056 | 0.021 | 0.022 | -3.286 | 0.033 | 0.034 | -0.527 | 0.058 | 0.056 | -0.006 | 0.003 | 0.003 | 268 | 18.418 | 0.039 | 679 | 694 |
| JKs_C89 | -6.105 | 0.022 | 0.021 | -3.354 | 0.034 | 0.035 | -0.369 | 0.058 | 0.056 | -0.008 | 0.003 | 0.003 | 271 | 18.447 | 0.038 | 717 | 732 |
| JKs_F99 | -6.149 | 0.022 | 0.022 | -3.375 | 0.035 | 0.034 | -0.374 | 0.057 | 0.057 | -0.007 | 0.003 | 0.003 | 271 | 18.456 | 0.038 | 728 | 742 |
| PWZ relations using F-mode pulsators only | |||||||||||||||||
| Gaia | -5.963 | 0.038 | 0.039 | -3.37 | 0.071 | 0.073 | -0.724 | 0.123 | 0.115 | -0.005 | 0.005 | 0.005 | 170 | 18.329 | 0.076 | 240 | 252 |
| VI_C89 | -6.006 | 0.038 | 0.038 | -3.3 | 0.074 | 0.075 | -0.758 | 0.124 | 0.121 | -0.002 | 0.005 | 0.005 | 168 | 18.278 | 0.078 | 204 | 216 |
| VI_F99 | -5.775 | 0.036 | 0.037 | -3.162 | 0.07 | 0.071 | -0.729 | 0.121 | 0.119 | -0.005 | 0.005 | 0.005 | 172 | 18.244 | 0.075 | 233 | 245 |
| cVI | -5.808 | 0.035 | 0.036 | -3.195 | 0.068 | 0.069 | -0.478 | 0.118 | 0.114 | -0.006 | 0.005 | 0.005 | 171 | 18.249 | 0.069 | 197 | 209 |
| cHVI | -5.937 | 0.035 | 0.036 | -3.276 | 0.067 | 0.068 | -0.648 | 0.112 | 0.108 | -0.001 | 0.005 | 0.005 | 170 | 18.26 | 0.068 | 208 | 220 |
| VKs | -5.995 | 0.036 | 0.036 | -3.346 | 0.068 | 0.068 | -0.613 | 0.115 | 0.111 | 0.002 | 0.005 | 0.005 | 171 | 18.291 | 0.071 | 224 | 237 |
| JKs_C89 | -6.031 | 0.036 | 0.037 | -3.374 | 0.069 | 0.069 | -0.506 | 0.116 | 0.115 | 0.003 | 0.005 | 0.005 | 171 | 18.307 | 0.071 | 220 | 232 |
| JKs_F99 | -6.073 | 0.037 | 0.038 | -3.395 | 0.069 | 0.069 | -0.513 | 0.117 | 0.113 | 0.004 | 0.005 | 0.005 | 171 | 18.313 | 0.071 | 222 | 235 |
| PWZ relations using the total metallicity [M/H] | |||||||||||||||||
| Gaia | -6.0 | 0.038 | 0.039 | -3.31 | 0.052 | 0.054 | -0.701 | 0.121 | 0.117 | -0.014 | 0.004 | 0.004 | 270 | 18.555 | 0.056 | 352 | 366 |
| VI_C89 | -6.024 | 0.039 | 0.04 | -3.268 | 0.056 | 0.057 | -0.815 | 0.126 | 0.123 | -0.01 | 0.005 | 0.004 | 267 | 18.463 | 0.059 | 298 | 313 |
| VI_F99 | -5.813 | 0.037 | 0.038 | -3.163 | 0.056 | 0.055 | -0.61 | 0.122 | 0.122 | -0.015 | 0.004 | 0.004 | 274 | 18.461 | 0.056 | 350 | 364 |
| cVI | -5.834 | 0.036 | 0.037 | -3.165 | 0.053 | 0.053 | -0.452 | 0.117 | 0.114 | -0.013 | 0.004 | 0.004 | 272 | 18.397 | 0.051 | 317 | 331 |
| cHVI | -5.96 | 0.036 | 0.036 | -3.213 | 0.049 | 0.051 | -0.699 | 0.111 | 0.109 | -0.008 | 0.004 | 0.004 | 270 | 18.439 | 0.052 | 323 | 337 |
| VKs | -6.021 | 0.036 | 0.038 | -3.28 | 0.049 | 0.05 | -0.666 | 0.112 | 0.109 | -0.005 | 0.004 | 0.004 | 271 | 18.47 | 0.053 | 344 | 359 |
| JKs_C89 | -6.057 | 0.037 | 0.037 | -3.337 | 0.051 | 0.051 | -0.554 | 0.115 | 0.113 | -0.004 | 0.004 | 0.004 | 271 | 18.45 | 0.053 | 327 | 341 |
| JKs_F99 | -6.1 | 0.037 | 0.038 | -3.357 | 0.051 | 0.052 | -0.564 | 0.116 | 0.111 | -0.004 | 0.004 | 0.004 | 271 | 18.458 | 0.053 | 331 | 345 |
| PWZ relations using DCEPs with G < 12.5 mag only. | |||||||||||||||||
| Gaia | -6.072 | 0.045 | 0.046 | -3.313 | 0.059 | 0.06 | -0.453 | 0.12 | 0.117 | -0.022 | 0.007 | 0.006 | 140 | 18.577 | 0.074 | 184 | 196 |
| VI_C89 | -6.102 | 0.045 | 0.045 | -3.268 | 0.064 | 0.062 | -0.518 | 0.127 | 0.123 | -0.018 | 0.007 | 0.007 | 139 | 18.49 | 0.078 | 163 | 175 |
| VI_F99 | -5.869 | 0.044 | 0.043 | -3.17 | 0.062 | 0.063 | -0.367 | 0.127 | 0.121 | -0.021 | 0.006 | 0.006 | 141 | 18.482 | 0.076 | 169 | 180 |
| cVI | -5.86 | 0.042 | 0.042 | -3.166 | 0.058 | 0.059 | -0.293 | 0.12 | 0.116 | -0.014 | 0.006 | 0.006 | 140 | 18.391 | 0.07 | 154 | 166 |
| cHVI | -5.999 | 0.041 | 0.042 | -3.207 | 0.055 | 0.056 | -0.469 | 0.114 | 0.107 | -0.009 | 0.006 | 0.006 | 140 | 18.426 | 0.068 | 173 | 185 |
| VKs | -6.057 | 0.042 | 0.042 | -3.276 | 0.054 | 0.055 | -0.401 | 0.109 | 0.109 | -0.006 | 0.007 | 0.006 | 140 | 18.475 | 0.068 | 179 | 191 |
| JKs_C89 | -6.091 | 0.044 | 0.044 | -3.333 | 0.056 | 0.057 | -0.302 | 0.115 | 0.113 | -0.006 | 0.007 | 0.007 | 140 | 18.471 | 0.071 | 159 | 170 |
| JKs_F99 | -6.134 | 0.043 | 0.045 | -3.353 | 0.057 | 0.059 | -0.314 | 0.117 | 0.114 | -0.006 | 0.007 | 0.007 | 140 | 18.476 | 0.071 | 163 | 175 |
Notes. C89 and F99 refer to the Cardelli et al. (1989) and Fitzpatrick (1999) extinction laws, respectively. The values of σlow and σhigh list the 16th and 84th percentiles of the posterior probability, respectively (see text). The units of α, β, γ, ϵ and of their uncertainties are mag, mag/dex, mag/dex and mas, respectively.
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