Thermal electrons in an ultra-relativistic shock shape the optical afterglow of GRB 250702F

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Table D.1.

Model parameters and prior distributions for the two-component optical light curve fit.

Model	Parameter	Prior	Posterior
	log₁₀(A₁/mJy)	𝒰(−5, 3)	$0 . 31_{- 0.05}^{+ 0.03}$ $Mathematical equation: $ 0.31^{+0.03}_{-0.05} $$
	α₁	𝒰(−5, 5)	$- 1 . 64_{- 0.14}^{+ 0.13}$ $Mathematical equation: $ -1.64^{+0.13}_{-0.14} $$
2SBPL	α₂	𝒰(−5, 5)	$0 . 19_{- 0.04}^{+ 0.05}$ $Mathematical equation: $ 0.19^{+0.05}_{-0.04} $$
	α₃	𝒰(−5, 5)	$2 . 06_{- 0.16}^{+ 0.18}$ $Mathematical equation: $ 2.06^{+0.18}_{-0.16} $$
	log₁₀(t_b, 1/s)	𝒰(2.0, 3.3)	$2 . 30_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ 2.30^{+0.02}_{-0.02} $$
	log₁₀(t_b, 2/s)	𝒰(2.0, 3.3)	$2 . 62_{- 0.02}^{+ 0.03}$ $Mathematical equation: $ 2.62^{+0.03}_{-0.02} $$

	log₁₀(A₂/mJy)	𝒰(−5, 3)	$0 . 01_{- 0.04}^{+ 0.03}$ $Mathematical equation: $ 0.01^{+0.03}_{-0.04} $$
SBPL	α₄	𝒰(−5, 0)	$- 1 . 98_{- 0.59}^{+ 0.71}$ $Mathematical equation: $ -1.98^{+0.71}_{-0.59} $$
	α₅	𝒰(0, 5)	$0 . 79_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ 0.79^{+0.02}_{-0.02} $$
	log₁₀(t_b, 3/s)	𝒰(2.7, 4.0)	$2 . 77_{- 0.02}^{+ 0.03}$ $Mathematical equation: $ 2.77^{+0.03}_{-0.02} $$

Notes. For the 2SBPL component, an ordering prior log₁₀(t_b, 1) < log₁₀(t_b, 2) was imposed. The posterior column reports the median and 68% credible intervals.

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