Stacking the Signal
The function dsigma.stacking.excess_surface_density() allows us to calculate the total galaxy-galaxy lensing signal, including all correction factors. In the example code below, we are analyzing the galaxy-galaxy lensing signal with HSC data. We have performed the pre-computation, and the results are stored in table_l. For HSC, we need to apply shear bias, shear responsivity, and selection bias correction terms. The code below takes all of that into account.
esd = excess_surface_density(table_l, return_table=True,
scalar_shear_response_correction=True,
shear_responsivity_correction=True,
boost_correction=False,
random_subtraction=False,
photo_z_dilution_correction=False)
for key in esd.colnames:
esd[key].format='.4f'
esd.pprint_all()
The output looks something like this.
rp_min rp_max rp delta sigma_raw delta sigma 1 + m 2R 1 + m_sel
------- ------- ------- --------------- ----------- ------ ------ ---------
0.0500 0.0629 0.0561 152.1075 90.6249 0.8834 1.6784 1.0100
0.0629 0.0792 0.0706 111.1277 66.2133 0.8844 1.6783 1.0070
0.0792 0.0998 0.0889 95.0552 56.6578 0.8844 1.6777 1.0088
0.0998 0.1256 0.1119 81.3570 48.5203 0.8875 1.6768 1.0087
0.1256 0.1581 0.1409 79.6912 47.4898 0.8920 1.6781 1.0108
0.1581 0.1991 0.1774 50.6677 30.1843 0.8924 1.6786 1.0112
0.1991 0.2506 0.2233 53.3570 31.7837 0.8931 1.6788 1.0096
0.2506 0.3155 0.2812 38.1371 22.7233 0.8922 1.6783 1.0094
0.3155 0.3972 0.3540 35.8193 21.3457 0.8917 1.6781 1.0101
0.3972 0.5000 0.4456 29.8587 17.7944 0.8913 1.6780 1.0099
0.5000 0.6295 0.5610 20.8229 12.4090 0.8914 1.6780 1.0097
0.6295 0.7924 0.7063 16.4423 9.7997 0.8910 1.6778 1.0098
0.7924 0.9976 0.8891 15.7522 9.3880 0.8911 1.6779 1.0100
0.9976 1.2559 1.1194 13.9731 8.3277 0.8912 1.6779 1.0099
1.2559 1.5811 1.4092 10.6780 6.3637 0.8915 1.6780 1.0100
1.5811 1.9905 1.7741 8.1250 4.8419 0.8917 1.6780 1.0100
1.9905 2.5059 2.2334 6.3451 3.7813 0.8916 1.6780 1.0100
2.5059 3.1548 2.8117 3.8842 2.3147 0.8918 1.6781 1.0100
3.1548 3.9716 3.5397 3.6218 2.1583 0.8917 1.6781 1.0100
3.9716 5.0000 4.4563 2.2735 1.3549 0.8917 1.6780 1.0100
5.0000 6.2946 5.6101 2.0328 1.2114 0.8917 1.6780 1.0100
6.2946 7.9245 7.0627 1.3313 0.7934 0.8919 1.6781 1.0100
7.9245 9.9763 8.8914 1.1858 0.7066 0.8920 1.6781 1.0101
9.9763 12.5594 11.1936 0.6759 0.4028 0.8922 1.6782 1.0101
12.5594 15.8114 14.0919 0.9251 0.5512 0.8922 1.6782 1.0101
15.8114 19.9054 17.7407 1.0275 0.6122 0.8922 1.6783 1.0101
19.9054 25.0594 22.3342 1.3240 0.7888 0.8921 1.6784 1.0102
25.0594 31.5479 28.1171 1.7110 1.0194 0.8920 1.6785 1.0103
31.5479 39.7164 35.3973 1.6912 1.0075 0.8918 1.6786 1.0105
39.7164 50.0000 44.5625 1.8857 1.1233 0.8915 1.6788 1.0106