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 6.

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

Band	α	β	γ	σ	N
Complete set of models (0.5 − 0.8 M_⊙)

Convection set A

G	−0.262 ± 0.012	−1.761 ± 0.03	0.001 ± 0.007	0.262	3266
G_BP	−0.058 ± 0.014	−1.555 ± 0.033	0.018 ± 0.008	0.292	3266
G_RP	−0.601 ± 0.011	−2.007 ± 0.026	−0.012 ± 0.006	0.225	3266
W	−1.294 ± 0.007	−2.619 ± 0.018	−0.056 ± 0.004	0.154	3266

Convection set B

G	−0.27 ± 0.013	−1.527 ± 0.031	−0.008 ± 0.007	0.237	2260
G_BP	−0.06 ± 0.014	−1.3 ± 0.035	0.008 ± 0.008	0.262	2260
G_RP	−0.615 ± 0.011	−1.8 ± 0.027	−0.021 ± 0.006	0.208	2260
W	−1.325 ± 0.008	−2.477 ± 0.02	−0.063 ± 0.005	0.153	2260

Convection set C

G	−0.174 ± 0.014	−1.628 ± 0.033	−0.003 ± 0.008	0.267	2632
G_BP	0.051 ± 0.015	−1.394 ± 0.036	0.015 ± 0.009	0.299	2632
G_RP	−0.541 ± 0.012	−1.896 ± 0.028	−0.016 ± 0.007	0.231	2632
W	−1.298 ± 0.008	−2.581 ± 0.019	−0.063 ± 0.005	0.158	2632

Convection set D

G	−0.188 ± 0.014	−1.488 ± 0.033	−0.004 ± 0.008	0.255	2122
G_BP	0.038 ± 0.016	−1.246 ± 0.037	0.014 ± 0.009	0.284	2122
G_RP	−0.554 ± 0.012	−1.769 ± 0.029	−0.017 ± 0.007	0.223	2122
W	−1.312 ± 0.009	−2.481 ± 0.021	−0.063 ± 0.005	0.16	2122

Low-mass models only (0.5 − 0.6M_⊙)

Convection set A

G	−0.21 ± 0.018	−1.333 ± 0.045	−0.016 ± 0.01	0.222	1050
G_BP	−0.018 ± 0.021	−1.073 ± 0.052	−0.001 ± 0.012	0.254	1050
G_RP	−0.532 ± 0.015	−1.647 ± 0.037	−0.028 ± 0.008	0.181	1050
W	−1.187 ± 0.008	−2.423 ± 0.02	−0.068 ± 0.004	0.097	1050

Convection set B

G	−0.164 ± 0.016	−1.218 ± 0.04	−0.014 ± 0.01	0.178	707
G_BP	0.04 ± 0.018	−0.953 ± 0.046	0.003 ± 0.011	0.202	707
G_RP	−0.501 ± 0.013	−1.54 ± 0.033	−0.026 ± 0.008	0.148	707
W	−1.191 ± 0.008	−2.333 ± 0.02	−0.07 ± 0.005	0.088	707

Convection set C

G	−0.022 ± 0.02	−1.459 ± 0.049	−0.008 ± 0.012	0.234	856
G_BP	0.206 ± 0.023	−1.206 ± 0.056	0.012 ± 0.014	0.268	856
G_RP	−0.39 ± 0.017	−1.751 ± 0.04	−0.023 ± 0.01	0.192	856
W	−1.155 ± 0.009	−2.495 ± 0.021	−0.073 ± 0.005	0.101	856

Convection set D

G	−0.011 ± 0.02	−1.43 ± 0.047	−0.005 ± 0.012	0.222	711
G_BP	0.219 ± 0.023	−1.184 ± 0.053	0.015 ± 0.014	0.254	711
G_RP	−0.382 ± 0.016	−1.718 ± 0.038	−0.02 ± 0.01	0.183	711
W	−1.154 ± 0.009	−2.447 ± 0.021	−0.071 ± 0.006	0.101	711

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