The undetectable fraction of core-collapse supernovae in luminous infrared galaxies

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Table 5.

Total undetectable fractions calculated from the missing fraction and the extinction model.

A_V, limit^(a)	f_{A_V}^(b)	f_ext^(c)	f_tot^(d)
(mag)	(%)	(%)	(%)
2	15.5	38.9	$92 . 9_{- 3.1}^{+ 1.8}$ $92.9^{+1.8}_{-3.1}$
3	22.3	35.7	$89 . 7_{- 4.4}^{+ 2.6}$ $89.7^{+2.6}_{-4.4}$
4	28.5	32.9	$86 . 9_{- 5.6}^{+ 3.3}$ $86.9^{+3.3}_{-5.6}$
5	34.3	30.2	$84 . 2_{- 6.8}^{+ 4.0}$ $84.2^{+4.0}_{-6.8}$
7	44.5	25.5	$79 . 5_{- 8.8}^{+ 5.2}$ $79.5^{+5.2}_{-8.8}$
10	56.8	19.8	$73 . 8_{- 11.2}^{+ 6.6}$ $73.8^{+6.6}_{-11.2}$
13	66.4	15.4	$69 . 4_{- 13.1}^{+ 7.7}$ $69.4^{+7.7}_{-13.1}$
16	73.9	12.0	$66 . 0_{- 14.6}^{+ 8.6}$ $66.0^{+8.6}_{-14.6}$
20	81.4	8.6	$62 . 6_{- 16.0}^{+ 9.4}$ $62.6^{+9.4}_{-16.0}$
25	87.7	5.6	$59 . 6_{- 17.3}^{+ 10.2}$ $59.6^{+10.2}_{-17.3}$
30	92.0	3.7	$57 . 7_{- 18.1}^{+ 10.7}$ $57.7^{+10.7}_{-18.1}$
40	96.4	1.6	$55 . 6_{- 19.0}^{+ 11.2}$ $55.6^{+11.2}_{-19.0}$

Notes. f_tot assumes a missing fraction of $f_{mis} = 54 . 0_{- 19.7}^{+ 11.6}$ $f_{\mathrm{mis}} = 54.0^{+11.6}_{-19.7}$ % and survey parameters similar to our dataset.

^(a)

The extinction threshold,

^(b)

the fraction of CCSNe with host extinctions below the extinction threshold,

^(c)

the fraction of CCSNe that remain undetected due to host extinction described by the host extinction model,

^(d)

the total undetectable fraction.

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