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Table 7.

Coefficients of the PL, PLC, and PW relations for T2Cs in the LMC.

Relation Group α σα β σβ γ σγ RMS Used stars Total stars
(mag) (mag) (mag dex−1) (mag dex−1) (mag)
(1) (2) (3) (4) (5) (6) (7) (8) (9) (10) (11)
PLBP BLHer 18.348 0.130 −0.840 0.250 0.29 74 83
PLBP WVir 19.266 0.039 −2.190 0.110 0.18 98 103
PLBP BLH & WVir 18.505 0.020 −1.439 0.047 0.27 175 186
PLG BLHer 18.382 0.082 −1.450 0.160 0.20 78 85
PLG WVir 19.019 0.029 −2.270 0.082 0.13 93 103
PLG BLH & WVir 18.454 0.014 −1.722 0.034 0.19 178 188
PLRP BLHer 17.945 0.097 −1.670 0.200 0.25 72 83
PLRP WVir 18.538 0.033 −2.363 0.092 0.14 100 103
PLRP BLH & WVir 18.092 0.012 −1.943 0.030 0.17 160 186
PLV BLHer 18.432 0.079 −1.250 0.160 0.18 73 85
PLV WVir 19.066 0.039 −2.150 0.110 0.17 99 104
PLV BLH & WVir 18.520 0.016 −1.618 0.037 0.21 178 189
PLI BLHer 17.973 0.067 −1.800 0.140 0.16 79 85
PLI WVir 18.483 0.036 −2.370 0.100 0.16 102 104
PLI BLH & WVir 18.028 0.012 −1.940 0.029 0.17 182 189
PLY BLHer 17.711 0.082 −1.680 0.170 0.19 68 77
PLY WVir 18.266 0.028 −2.473 0.080 0.13 97 100
PLY BLH & WVir 17.823 0.012 −2.048 0.029 0.16 162 177
PLJ BLHer 17.657 0.069 −2.250 0.140 0.17 73 83
PLJ WVir 17.919 0.024 −2.400 0.068 0.10 94 98
PLJ BLH & WVir 17.664 0.010 −2.156 0.024 0.12 162 181
PLK BLHer 17.444 0.066 −2.560 0.140 0.16 73 84
PLK WVir 17.508 0.019 −2.439 0.053 0.08 98 103
PLK BLH & WVir 17.410 0.009 −2.348 0.019 0.10 165 187
PWG BLH & WVir 17.445 0.009 −2.436 0.022 0.14 170 186
PWVI BLH & WVir 17.337 0.010 −2.491 0.022 0.12 177 189
PWVK BLH & WVir 17.282 0.007 −2.475 0.017 0.09 160 187
PWYK BLH & WVir 17.226 0.007 −2.516 0.017 0.09 151 177
PWJK BLH & WVir 17.251 0.006 −2.501 0.016 0.08 146 181
PLCG BLH & WVir 17.334 0.009 −2.501 0.033 2.070 0.062 0.15 170 186
PLCVI BLH & WVir 17.143 0.013 −2.604 0.036 2.912 0.092 0.10 168 189
PLCVK BLH & WVir 17.295 0.007 −2.447 0.029 0.118 0.030 0.09 162 187
PLCYK BLH & WVir 17.325 0.008 −2.421 0.026 0.223 0.059 0.09 157 177
PLCJK BLH & WVir 17.252 0.007 −2.493 0.025 0.691 0.099 0.075 145 181

Notes. The PL relations have the form y = α + β × x, where x, and y are the period and magnitude, respectively. For PLCs we have z = α + β × x + γ × y, where x, y, and z are the period, colour and magnitude, respectively. Additional fits are in the Appendix C.2 (Table C.1). The different columns report: (1) the type of relationship and the band of interest; (2) the pulsating class; (3) and (4) the α coefficient (intercept) and relative uncertainty; (5) and (6) the β coefficient (slope as a function of the period) and relative uncertainty; (7) and (8) the γ coefficient (colour term of the PLC) and relative uncertainty; (9) the Root Mean Square (RMS) of the relation; (10) and (11) the number of stars used in the fit and the total number of stars, respectively.

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