Time lags as a proxy of the spectral evolution in gamma-ray bursts

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Table 2.

Best-fit parameters for the 2SBPL+PL model for the time-integrated and time-resolved spectra of GRB 190114C.

Time bin	Norm.	α₁	E_break	α₂	E_peak	β	Norm_PL	Γ_PL	PG-STAT/d.o.f	ΔAIC
[s from trigger time]	[photons keV⁻¹ cm⁻² s⁻¹]		[keV]		[keV]		[photons keV⁻¹ cm⁻² s⁻¹]
time integrated (0–12 s)	$1 . 42_{- 0.51}^{+ 0.42}$ $Mathematical equation: $ 1.42^{+0.42}_{-0.51} $$	$- 0 . 54_{- 0.06}^{+ 0.10}$ $Mathematical equation: $ -0.54^{+0.10}_{-0.06} $$	$151_{- 19}^{+ 15}$ $Mathematical equation: $ 151^{+15}_{-19} $$	$- 1 . 30_{- 0.05}^{+ 0.07}$ $Mathematical equation: $ -1.30^{+0.07}_{-0.05} $$	$656_{- 35}^{+ 21}$ $Mathematical equation: $ 656^{+21}_{-35} $$	$- 3 . 54_{- 0.22}^{+ 0.23}$ $Mathematical equation: $ -3.54^{+0.23}_{-0.22} $$	$150_{- 10}^{+ 16}$ $Mathematical equation: $ 150^{+16}_{-10} $$	$1 . 85_{- 0.03}^{+ 0.03}$ $Mathematical equation: $ 1.85^{+0.03}_{-0.03} $$	436.3/335	502.30

a (0–2.3 s) – only GBM	$15 . 8_{- 1.2}^{+ 1.2}$ $Mathematical equation: $ 15.8^{+1.2}_{-1.2} $$	$- 0 . 75_{- 0.02}^{+ 0.02}$ $Mathematical equation: $ -0.75^{+0.02}_{-0.02} $$	$144_{- 13}^{+ 11}$ $Mathematical equation: $ 144^{+11}_{-13} $$	$- 1 . 51_{- 0.05}^{+ 0.06}$ $Mathematical equation: $ -1.51^{+0.06}_{-0.05} $$	$612_{- 30}^{+ 36}$ $Mathematical equation: $ 612^{+36}_{-30} $$	$- 3 . 59_{- 0.24}^{+ 0.20}$ $Mathematical equation: $ -3.59^{+0.20}_{-0.24} $$	–	–	379.7/330	–
b (2.3–3.6 s)	$1 . 27_{- 0.51}^{+ 0.78}$ $Mathematical equation: $ 1.27^{+0.78}_{-0.51} $$	$- 0 . 24_{- 0.11}^{+ 0.12}$ $Mathematical equation: $ -0.24^{+0.12}_{-0.11} $$	$138_{- 20}^{+ 28}$ $Mathematical equation: $ 138^{+28}_{-20} $$	$- 0 . 96_{- 0.07}^{+ 0.06}$ $Mathematical equation: $ -0.96^{+0.06}_{-0.07} $$	$735_{- 22}^{+ 23}$ $Mathematical equation: $ 735^{+23}_{-22} $$	$- 3 . 25_{- 0.13}^{+ 0.12}$ $Mathematical equation: $ -3.25^{+0.12}_{-0.13} $$	$60_{- 18}^{+ 18}$ $Mathematical equation: $ 60^{+18}_{-18} $$	$1 . 58_{- 0.05}^{+ 0.05}$ $Mathematical equation: $ 1.58^{+0.05}_{-0.05} $$	429.0/335	150.17
c (3.6–7 s)	$0 . 69_{- 0.23}^{+ 0.32}$ $Mathematical equation: $ 0.69^{+0.32}_{-0.23} $$	$- 0 . 15_{- 0.08}^{+ 0.09}$ $Mathematical equation: $ -0.15^{+0.09}_{-0.08} $$	$138_{- 10}^{+ 12}$ $Mathematical equation: $ 138^{+12}_{-10} $$	$- 1 . 25_{- 0.06}^{+ 0.06}$ $Mathematical equation: $ -1.25^{+0.06}_{-0.06} $$	$595_{- 23}^{+ 24}$ $Mathematical equation: $ 595^{+24}_{-23} $$	$- 3 . 63_{- 0.22}^{+ 0.19}$ $Mathematical equation: $ -3.63^{+0.19}_{-0.22} $$	$212_{- 20}^{+ 21}$ $Mathematical equation: $ 212^{+21}_{-20} $$	$1 . 76_{- 0.02}^{+ 0.03}$ $Mathematical equation: $ 1.76^{+0.03}_{-0.02} $$	371.9/335	244.61
d (7–12 s)	$0 . 76_{- 0.46}^{+ 0.89}$ $Mathematical equation: $ 0.76^{+0.89}_{-0.46} $$	$- 0 . 55_{- 0.16}^{+ 0.22}$ $Mathematical equation: $ -0.55^{+0.22}_{-0.16} $$	$147_{- 27}^{+ 29}$ $Mathematical equation: $ 147^{+29}_{-27} $$	$- 1 . 66_{- 0.19}^{+ 0.23}$ $Mathematical equation: $ -1.66^{+0.23}_{-0.19} $$	$494_{- 93}^{+ 130}$ $Mathematical equation: $ 494^{+130}_{-93} $$	$- 4 . 11_{- 2.50}^{+ 0.95}$ $Mathematical equation: $ -4.11^{+0.95}_{-2.50} $$	$163_{- 16}^{+ 22}$ $Mathematical equation: $ 163^{+22}_{-16} $$	$1 . 83_{- 0.02}^{+ 0.04}$ $Mathematical equation: $ 1.83^{+0.04}_{-0.02} $$	287.7/335	174.01

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