Early light curve excess in Type IIb supernovae observed with ATLAS - Qualitative constraints on progenitor systems

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Table 1.

Markov Chain Monte Carlo input parameters for the SPM.

Parameter	Description	Prior Distribution	Bounds (B)	Units
τ_rise	Rise Time	$N (max (1.0, \frac{t_{peak} - t_{\exp}}{2.0}), σ_{B_{τ_{rise}}})$ $\mathcal{N}\left(\max\left(1.0, \frac{t_{\mathrm{peak}} - t_{\mathrm{exp}}}{2.0}\right), \sigma_{B_{\tau_{\mathrm{rise}}}}\right)$	[1, 70]	days
τ_fall	Decline Time	𝒩(40, σ_{B_{τ_fall}})	[1, 100]	days
t₀	Start Time	𝒩(min(30,max(−10,t_peak−t_exp)),σ_{B_t₀})	[–10, 30]	MJD
A	Amplitude	𝒩(max(f),σ_{B_A})	[max(Flux)/10, 2 ⋅ max(f)]	–
β′	Plateau Slope	𝒩(0.5, σ_{B_β′})	[0, 1]	flux/day
γ ≡ t₁ − t₀	Plateau Duration	$N (min (100, max (1, \frac{t_{peak} - t_{\exp}}{2.0})), σ_{B_{γ}})$ $\mathcal{N}\left(\min\left(100, \max\left(1, \frac{t_{\mathrm{peak}} - t_{\mathrm{exp}}}{2.0}\right)\right), \sigma_{B_{\gamma}}\right)$	[1, 100]	days

Notes. Parameter descriptions, prior distributions, bounds, and units. Priors are defined with standard deviations (σ_B) based on parameter bounds.

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