The VMC survey - L. Type II Cepheids in the Magellanic Clouds: Period–luminosity relations in the near-infrared bands

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Table 11.

Comparison of the present results with literature values for the PLC relations.

Relation	Galaxy	Sample	α	σ_α	β	σ_β	γ	σ_γ	RMS	Reference
			(mag)	(mag)	(mag dex⁻¹)	(mag dex⁻¹)			(mag)
PLCVK	LMC	BLHer+WVir	17.33	0.05	−2.48	0.04	0.125	0.04	0.09	R15
PLCVK	LMC	BLHer+WVir	17.30	0.01	−2.45	0.03	0.118	0.03	0.09	TW
PLCJK	LMC	BLHer+WVir	17.39	0.04	−2.45	0.04	0.35	0.14	0.09	R15
PLCJK	LMC	BLHer+WVir	17.25	0.01	−2.49	0.03	0.69	0.10	0.08	TW

Notes. The form of the PLC relations is: $M_{λ_{1}}^{0} = α + β log P + γ {(m_{λ_{1}} - m_{λ_{2}})}_{0}$ $M_{\lambda_1}^0 = \alpha + \beta \log P + \gamma (m_{\lambda_1}-m_{\lambda_2})_0$ . “R15” refers to Ripepi et al. (2015), “TW” (grey line) refers to this work.

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