Six-year SPIRou monitoring of the young planet-host AU Mic

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Volume 700 (August 2025)

A&A, 700 (2025) A227

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Table D.1

Same as Table 1 for a multi-dimensional GPR fit to both dT and RVs.

Parameter	No planet	b+c	b+c+e	b+c+e+d	Prior
θ₁ (K)	10.9 ± 1.2	10.9 ± 1.2	11.0 ± 1.2	11.1 ± 1.2	mod Jeffreys (σ_dT)
θ₂ (d)	4.8601 ± 0.0021	4.8596 ± 0.0023	4.8595 ± 0.0023	4.8595 ± 0.0022	Gaussian (4.86, 0.1)
θ₃ (d)	$132_{- 21}^{+ 25}$ $\[$132_{-21}^{+25}$\]$	$121_{- 18}^{+ 21}$ $\[$121_{-18}^{+21}$\]$	$118_{- 16}^{+ 19}$ $\[$118_{-16}^{+19}$\]$	$119_{- 16}^{+ 18}$ $\[$119_{-16}^{+18}$\]$	log Gaussian (log 120, log 1.5)
θ₄	0.52 ± 0.04	0.52 ± 0.04	0.52 ± 0.04	0.53 ± 0.04	Uniform (0, 3)
θ₅ (K)	0.2 ± 0.2	0.2 ± 0.2	0.2 ± 0.2	0.2 ± 0.2	mod Jeffreys (σ_dT)
θ₆ (m s⁻¹)	${0.9}_{- 0.5}^{+ 0.9}$ $\[$0.9_{-0.5}^{+0.9}$\]$	${0.9}_{- 0.4}^{+ 0.8}$ $\[$0.9_{-0.4}^{+0.8}$\]$	${0.9}_{- 0.4}^{+ 0.8}$ $\[$0.9_{-0.4}^{+0.8}$\]$	${0.9}_{- 0.4}^{+ 0.8}$ $\[$0.9_{-0.4}^{+0.8}$\]$	mod Jeffreys (σ_RV)
θ₇ (m s⁻¹)	${22.6}_{- 2.5}^{+ 2.8}$ $\[$22.6_{-2.5}^{+2.8}$\]$	${22.6}_{- 2.4}^{+ 2.7}$ $\[$22.6_{-2.4}^{+2.7}$\]$	${22.8}_{- 2.4}^{+ 2.7}$ $\[$22.8_{-2.4}^{+2.7}$\]$	${23.1}_{- 2.4}^{+ 2.7}$ $\[$23.1_{-2.4}^{+2.7}$\]$	mod Jeffreys (σ_RV)
θ₈ (m s⁻¹)	17.9 ± 0.8	17.2 ± 0.8	16.9 ± 0.8	16.8 ± 0.8	mod Jeffreys (σ_RV)
K_b (m s⁻¹)		${3.1}_{- 1.1}^{+ 1.6}$ $\[$3.1_{-1.1}^{+1.6}$\]$	${3.0}_{- 1.0}^{+ 1.6}$ $\[$3.0_{-1.0}^{+1.6}$\]$	${3.1}_{- 1.1}^{+ 1.6}$ $\[$3.1_{-1.1}^{+1.6}$\]$	mod Jeffreys (σ_RV)
P_b (d)		8.463446	8.463446	8.463446	fixed from Mallorquín et al. (2024)
BJD_b (2459000+)		−669.649175	−669.649175	−669.649175	fixed from Mallorquín et al. (2024)
K_c (m s⁻¹)		${4.5}_{- 1.1}^{+ 1.5}$ $\[$4.5_{-1.1}^{+1.5}$\]$	${4.3}_{- 1.1}^{+ 1.5}$ $\[$4.3_{-1.1}^{+1.5}$\]$	${4.1}_{- 1.1}^{+ 1.6}$ $\[$4.1_{-1.1}^{+1.6}$\]$	mod Jeffreys (σ_RV)
P_c (d)		18.859018	18.859018	18.859018	fixed from Mallorquín et al. (2024)
BJD_c (2459000+)		−657.776513	−657.776513	−657.776513	fixed from Mallorquín et al. (2024)
K_e (m s⁻¹)			${5.1}_{- 1.2}^{+ 1.7}$ $\[$5.1_{-1.2}^{+1.7}$\]$	${4.9}_{- 1.3}^{+ 1.7}$ $\[$4.9_{-1.3}^{+1.7}$\]$	mod Jeffreys (σ_RV)
P_e (d)			33.15 ± 0.08	33.15 ± 0.10	Gaussian (33.1, 1.0)
BJD_e (2459000+)			118.6 ± 1.6	118.9 ± 1.9	Gaussian (118, 8)
K_d (m s⁻¹)				${1.3}_{- 0.6}^{+ 1.2}$ $\[$1.3_{-0.6}^{+1.2}$\]$	mod Jeffreys (σ_RV)
P_d (d)				12.73596	fixed from Wittrock et al. (2023)
BJD_d (2459000+)				−659.44219	fixed from Wittrock et al. (2023)
$χ_{r}^{2}$ $\[\chi_{\mathrm{r}}^{2}\]$ (dT)	0.55	0.53	0.55	0.53
$χ_{r}^{2}$ $\[\chi_{\mathrm{r}}^{2}\]$ (RVs)	50.5	46.9	44.4	44.0
rms (m s⁻¹)	16.7	16.1	15.6	15.6
log ℒ_M	115.9	125.8	136.2	137.8
log BF = Δ log ℒ_M	−9.9	0.0	10.4	12.0

Notes. For the multi-dimensional GPR fit, including three additional parameters, θ₁ refers to the amplitude of the dT component (F term), θ₆ and θ₇ to the amplitudes of the RV component (F and F′ terms), θ₅ and θ₈ to the excess jitter of the dT and RV components, whereas the other terms keep the same meaning as in Table 1 (for more information, see Rajpaul et al. 2015). We note that θ₆ is close to 0, confirming that for AU Mic, RVs are highly correlated with the first derivative of dT (see Sec. 6)

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