A theoretical framework for BL Her stars - II. New period-luminosity relations in Gaia passbands

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Volume 684 (April 2024)

A&A, 684 (2024) A170

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Table 7.

PLZ relations for BL Her models of the mathematical form M_λ = α + βlog(P)+γ[Fe/H] in the low- and the high-metallicity regimes for different wavelengths using different convective parameter sets.

Band	α	β	γ	σ	N
Low-metallicity regime (Z = 0.00135, 0.00061, 0.00043, 0.00014)

Convection set A

G	−0.288 ± 0.029	−1.749 ± 0.042	−0.014 ± 0.018	0.263	1734
G_BP	−0.094 ± 0.032	−1.558 ± 0.047	−0.007 ± 0.02	0.292	1734
G_RP	−0.616 ± 0.025	−1.985 ± 0.036	−0.018 ± 0.015	0.227	1734
W	−1.278 ± 0.017	−2.561 ± 0.025	−0.035 ± 0.01	0.157	1734

Convection set B

G	−0.271 ± 0.03	−1.526 ± 0.041	−0.009 ± 0.018	0.229	1217
G_BP	−0.069 ± 0.032	−1.319 ± 0.045	−0.001 ± 0.02	0.25	1217
G_RP	−0.609 ± 0.026	−1.785 ± 0.036	−0.013 ± 0.016	0.202	1217
W	−1.296 ± 0.02	−2.412 ± 0.027	−0.032 ± 0.012	0.153	1217

Convection set C

G	−0.218 ± 0.032	−1.52 ± 0.045	−0.012 ± 0.02	0.254	1292
G_BP	−0.007 ± 0.036	−1.287 ± 0.05	−0.003 ± 0.022	0.281	1292
G_RP	−0.571 ± 0.028	−1.798 ± 0.039	−0.018 ± 0.017	0.222	1292
W	−1.29 ± 0.02	−2.491 ± 0.028	−0.041 ± 0.012	0.158	1292

Convection set D

G	−0.217 ± 0.032	−1.438 ± 0.042	−0.013 ± 0.02	0.235	1094
G_BP	−0.003 ± 0.035	−1.212 ± 0.046	−0.006 ± 0.022	0.256	1094
G_RP	−0.57 ± 0.029	−1.714 ± 0.037	−0.017 ± 0.018	0.209	1094
W	−1.293 ± 0.022	−2.392 ± 0.029	−0.034 ± 0.014	0.161	1094

High-metallicity regime (Z = 0.01300, 0.00834, 0.00424)

Convection set A

G	−0.247 ± 0.018	−1.779 ± 0.042	0.036 ± 0.033	0.26	1532
G_BP	−0.043 ± 0.02	−1.561 ± 0.047	0.068 ± 0.037	0.292	1532
G_RP	−0.588 ± 0.015	−2.031 ± 0.036	0.009 ± 0.028	0.222	1532
W	−1.283 ± 0.01	−2.672 ± 0.024	−0.077 ± 0.019	0.15	1532

Convection set B

G	−0.272 ± 0.019	−1.527 ± 0.048	−0.023 ± 0.037	0.247	1043
G_BP	−0.066 ± 0.021	−1.278 ± 0.054	0.004 ± 0.042	0.275	1043
G_RP	−0.615 ± 0.016	−1.816 ± 0.042	−0.042 ± 0.033	0.214	1043
W	−1.316 ± 0.012	−2.549 ± 0.03	−0.11 ± 0.023	0.152	1043

Convection set C

G	−0.139 ± 0.02	−1.727 ± 0.047	0.005 ± 0.038	0.278	1340
G_BP	0.09 ± 0.022	−1.494 ± 0.053	0.036 ± 0.043	0.314	1340
G_RP	−0.512 ± 0.017	−1.983 ± 0.04	−0.019 ± 0.032	0.238	1340
W	−1.282 ± 0.011	−2.655 ± 0.026	−0.099 ± 0.021	0.155	1340

Convection set D

G	−0.175 ± 0.022	−1.545 ± 0.053	−0.042 ± 0.043	0.275	1028
G_BP	0.048 ± 0.024	−1.288 ± 0.06	−0.018 ± 0.048	0.311	1028
G_RP	−0.541 ± 0.019	−1.832 ± 0.046	−0.058 ± 0.036	0.236	1028
W	−1.293 ± 0.012	−2.579 ± 0.03	−0.118 ± 0.024	0.156	1028

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