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Erratum
This article is an erratum for:
[https://doi.org/10.1051/0004-6361/201629684]

Table 4

Photon–photon optical depth as a function of energy and redshift.

Energy τ(z, Eγ) τ(z, Eγ) τ(z, Eγ) τ(z, Eγ) τ(z, Eγ) τ(z, Eγ) τ(z, Eγ) τ(z, Eγ) τ(z, Eγ) τ(z, Eγ)
[TeV] z = 0.01 z = 0.03 z = 0.1 z = 0.3 z = 0.5 z = 1.0 z = 1.5 z = 2.0 z = 2.5 z = 3.0
0.00520 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00001 0.00098 0.00250
0.00631 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00041 0.00384 0.00706
0.00767 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00002 0.00238 0.01031 0.01614
0.00932 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00052 0.00770 0.02253 0.03325
0.01132 0.00000 0.00000 0.00000 0.00000 0.00000 0.00000 0.00269 0.01862 0.04384 0.06308
0.01375 0.00000 0.00000 0.00000 0.00000 0.00000 0.00020 0.00834 0.03824 0.07863 0.10985
0.01671 0.00000 0.00000 0.00000 0.00000 0.00000 0.00144 0.02010 0.07046 0.13069 0.17634
0.02030 0.00000 0.00000 0.00000 0.00000 0.00000 0.00526 0.04148 0.11902 0.20242 0.26437
0.02466 0.00000 0.00000 0.00000 0.00000 0.00026 0.01411 0.07640 0.18647 0.29553 0.37522
0.02997 0.00000 0.00000 0.00000 0.00006 0.00168 0.03132 0.12823 0.27492 0.41267 0.51353
0.03641 0.00000 0.00000 0.00000 0.00075 0.00574 0.06037 0.19977 0.38853 0.56127 0.68797
0.04423 0.00000 0.00001 0.00013 0.00320 0.01442 0.10498 0.29586 0.53788 0.75593 0.91357
0.05374 0.00004 0.00015 0.00090 0.00881 0.03012 0.17000 0.42821 0.74227 1.01767 1.21240
0.06529 0.00017 0.00059 0.00279 0.01897 0.05553 0.26482 0.61799 1.02783 1.37303 1.60979
0.07932 0.00044 0.00146 0.00625 0.03557 0.09497 0.40704 0.89424 1.42494 1.85166 2.13489
0.09636 0.00090 0.00292 0.01196 0.06187 0.15657 0.62209 1.28834 1.96569 2.48455 2.81862
0.11708 0.00164 0.00530 0.02132 0.10376 0.25361 0.93967 1.83323 2.68098 3.30228 3.69168
0.14224 0.00288 0.00923 0.03649 0.17004 0.40341 1.38927 2.56014 3.59959 4.33198 4.78158
0.17281 0.00485 0.01543 0.06030 0.27160 0.62492 1.99735 3.49334 4.74466 5.59439 6.10519
0.20995 0.00785 0.02488 0.09631 0.42039 0.93622 2.78417 4.65017 6.12472 7.09190 7.66666
0.25507 0.01228 0.03875 0.14856 0.62743 1.35031 3.75962 6.02682 7.72167 8.80131 9.44462
0.30989 0.01849 0.05813 0.22045 0.89889 1.87116 4.91140 7.58655 9.48565 10.6756 11.3903
0.37650 0.02671 0.08371 0.31387 1.23409 2.49233 6.20194 9.26186 11.3434 12.6433 13.4434
0.45742 0.03695 0.11541 0.42716 1.62395 3.19434 7.56774 10.9660 13.2189 14.6472 15.5431
0.55573 0.04889 0.15213 0.55633 2.05458 3.94206 8.93147 12.6258 15.0605 16.6643 17.7073
0.67516 0.06195 0.19214 0.69563 2.50232 4.69382 10.2273 14.2003 16.9030 18.7701 20.0347
0.82027 0.07565 0.23399 0.83870 2.94180 5.40766 11.4154 15.7408 18.8822 21.1241 22.7128
0.99657 0.08899 0.27442 0.97492 3.34713 6.05113 12.5223 17.3990 21.1526 23.9144 25.9438
1.21076 0.10138 0.31194 1.09952 3.70442 6.61381 13.6400 19.3428 23.8785 27.3181 29.8841
1.47098 0.11221 0.34440 1.20615 4.00661 7.11168 14.9226 21.7192 27.2691 31.5636 34.8158
1.78712 0.12140 0.37194 1.29529 4.26781 7.60245 16.5345 24.7027 31.5446 37.0071 41.2633
2.17122 0.12901 0.39470 1.37052 4.52208 8.16693 18.5987 28.5221 37.1930 44.2853 50.0201
2.63787 0.13601 0.41568 1.44294 4.82080 8.91296 21.2999 33.6172 44.8184 54.3879 62.3975
3.20481 0.14377 0.43949 1.53147 5.22872 9.95027 24.9165 40.6821 55.7377 69.2046 80.6985
3.89360 0.15419 0.47162 1.65382 5.81803 11.3558 29.9010 50.8562 71.9941 91.3676 108.244
4.73042 0.16911 0.51756 1.83234 6.62927 13.2598 37.1520 66.2602 96.9755 125.369 150.666
5.74710 0.19065 0.58408 2.08465 7.71468 15.8888 47.9635 90.2827 135.775 177.700 218.111
6.98230 0.21876 0.67023 2.41055 9.20728 19.6965 64.8492 128.281 195.456 257.948 338.714
8.48296 0.25607 0.78567 2.85808 11.3604 25.5316 92.0801 187.290 285.133 384.066 621.861
10.3061 0.30752 0.94942 3.50961 14.7030 34.7408 135.263 275.826 415.094 615.195 1451.43
12.5211 0.38586 1.19616 4.50601 20.0272 49.6450 200.724 399.269 608.090 1175.933 3855.73
15.2122 0.51166 1.59762 6.14335 28.6023 73.4936 293.144 563.797 952.984 2741.434 9943.42
18.4817 0.71277 2.23537 8.72773 42.3560 109.697 414.810 786.935 1776.48 6841.312 –
22.4539 1.03624 3.25844 12.9010 63.5006 160.938 565.925 1156.41 3963.61 – –
27.2798 1.55756 4.90160 19.4448 93.6672 227.793 749.334 2000.75 9319.26 – –
33.1429 2.33730 7.33367 28.8458 133.104 308.522 1013.70 4181.95 – – –
40.2661 3.40014 10.6261 41.1443 180.335 400.080 1548.18 9404.14 – – –
48.9203 4.72388 14.6948 55.8835 233.223 505.738 2907.47 – – – –
59.4344 6.23960 19.3110 72.1970 290.373 660.765 6283.00 – – – –
72.2083 7.82189 24.1678 89.2541 364.018 1014.58 – – – – –
87.7276 9.50683 29.3591 109.080 522.730 1997.66 – – – – –
106.582 11.8962 37.2086 147.522 996.470 4510.25 – – – – –
129.489 18.3001 59.3783 268.848 2318.77 9990.42 – – – – –
157.319 39.6796 132.463 642.223 5410.71 – – – – – –
191.131 99.7780 333.153 1579.26 – – – – – – –
232.210 235.983 777.945 3498.49 – – – – – – –

Notes. The absorption multiplicative factor is e−τ(z,Eγ).

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