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Table 1

Wesenheit and bolometric period-luminosity relations.

Sample Galaxya Mag Mag=a + b log P dispersion b N N Ref.
(mag) outliers

BL Her LMC W 17.359 ± 0.022 − 2.576 ± 0.080 0.089 9.18 55 6
BL Her SMC W 17.558 ± 0.134 − 2.429 ± 0.480 0.241 76.0 17 0
BL Her @LMC W 17.347 ± 0.038 − 2.669 ± 0.137 0.170 32.8 74 4
W Vir LMC W 17.402 ± 0.064 − 2.558 ± 0.063 0.093 9.91 76 2
W Vir SMC W 18.329 ± 0.168 − 3.009 ± 0.158 0.091 11.5 10 0
W Vir @LMC W 17.471 ± 0.061 − 2.624 ± 0.060 0.098 10.8 86 2
RV Tau LMC W 18.101 ± 0.557 − 3.142 ± 0.352 0.249 72.6 41 1
RV Tau SMC W 17.707 ± 1.049 − 2.585 ± 0.674 0.164 42.1 7 0
RV Tau @LMC W 18.004 ± 0.494 − 3.077 ± 0.313 0.240 66.9 48 1
BL Her + W Vir LMC W 17.363 ± 0.017 − 2.522 ± 0.021 0.102 11.6 133 6
BL Her + W Vir SMC W 17.597 ± 0.072 − 2.356 ± 0.103 0.209 53.0 26 1
BL Her + W Vir @LMC W 17.335 ± 0.017 − 2.496 ± 0.021 0.108 13.2 153 13
BL Her + W Vir + RV Tauc LMC W 17.358 ± 0.014 − 2.530 ± 0.017 0.089 9.00 136 10
BL Her + W Vir + RV Tauc SMC W 17.577 ± 0.073 − 2.388 ± 0.097 0.232 64.9 28 0
BL Her + W Vir + RV Tauc @LMC W 17.355 ± 0.017 − 2.526 ± 0.020 0.118 15.8 162 12
AC FU LMC W 16.612 ± 0.020 − 3.158 ± 0.141 0.150 25.7 62 0
AC FO LMC W 16.029 ± 0.058 − 3.373 ± 0.247 0.140 24.2 19 0
BL Her + W Vir LMC W 17.364 ± 0.015 − 2.521 ± 0.022 0.105 131 1
BL Her + W Vir SMC W 17.554 ± 0.083 − 2.304 ± 0.107 0.230 27 2
BL Her + W Vir + RV Taud LMC W 17.33 ± 0.03 − 2.53 ± 0.03 3
BL Her Theory W 17.30 ± 0.07 − 2.43 ± 0.02 4
AC FU LMC W 16.59 ± 0.02 − 3.41 ± 0.16 0.15 5
AC FO LMC W 16.05 ± 0.05 − 3.44 ± 0.22 0.13 5
AC FU Theory W 16.55 − 2.94 6
BL Her LMC M bol + 0.141 ± 0.051 − 1.749 ± 0.200 0.274 33.0 57 4
BL Her SMC M bol − 0.250 ± 0.176 − 0.691 ± 0.717 0.302 64.9 15 2
BL Her MCs M bol − 0.027 ± 0.065 − 1.326 ± 0.257 0.282 89.5 72 6
W Vir LMC M bol 0.723 ± 0.115 − 2.358 ± 0.119 0.186 36.8 74 5
W Vir SMC M bol 0.965 ± 0.318 − 2.589 ± 0.319 0.210 33.2 10 0
W Vir MCs M bol 0.743 ± 0.109 − 2.379 ± 0.112 0.201 37.1 85 4
RV Taud LMC M bol + 1.442 ± 1.146 − 2.919 ± 0.750 0.301 91.1 15 0
RV Taud SMC M bol − 1.088 ± 0.433 − 1.367 ± 0.290 0.041 4.6 4 0
RV Taud MCs M bol + 0.951 ± 0.974 − 2.620 ± 0.639 0.298 78.4 19 0
BL Her + W Vir LMC M bol + 0.199 ± 0.035 − 1.827 ± 0.042 0.230 40.6 130 10
BL Her + W Vir SMC M bol − 0.087 ± 0.100 − 1.561 ± 0.182 0.349 256. 26 1
BL Her + W Vir MCs M bol + 0.068 ± 0.037 − 1.704 ± 0.049 0.267 83.1 159 8
BL Her + W Vir + RV Tauc LMC M bol + 0.226 ± 0.033 − 1.870 ± 0.039 0.233 40.5 136 11
BL Her + W Vir + RV Tauc SMC M bol − 0.048 ± 0.101 − 1.686 ± 0.172 0.370 275. 27 1
BL Her + W Vir + RV Tauc, e MCs M bol + 0.119 ± 0.036 − 1.787 ± 0.044 0.276 81.8 166 9
AC FU LMC M bol − 0.436 ± 0.033 − 3.122 ± 0.213 0.255 71.3 61 1
AC FO LMC M bol − 1.126 ± 0.074 − 3.248 ± 0.305 0.244 53.2 20 0

Notes.

(a)

For the PL relations in the Wesenheit index “@LMC” means the stars in the LMC plus the stars in the SMC placed at the distance of the LMC by a shift of 0.432 mag.

(b)

The reduced χ2 is based on an assumed “error” in the Wesenheit index and bolometric magnitude of 0.03 mag.

(c)

Excluding RVTs with dust excess and for P< 50 days.

(d)

Excluding RVTs with dust excess.

(e)

The preferred solution.

Reference. (1) Matsunaga et al. (2009); (2) Matsunaga et al. (2011); (3) Manick et al. (2017); (4) Di Criscienzo et al. (2007) for [Fe/H] = −1, l/Hp = 1.5, and LMC distance modulus 18.50; (5) Ripepi et al. (2014); (6) Marconi et al. (2004) for M = 1.3M and LMC distance modulus 18.50.

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