Planck intermediate results - XLIX. Parity-violation constraints from polarization data

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Table 1

Mean values and (1σ) statistical uncertainties for α (in degrees) derived from the stacking analysis for all component-separation methods, coming from hot spots, cold spots, and all extrema.

Method	Hot	Cold	All

T–B
Commander ................	0.36 ± 0.12	0.34 ± 0.11	0.35 ± 0.08
HMHD^a .................	− 0.13 ± 0.12	− 0.20 ± 0.11	− 0.16 ± 0.08
NILC ^b .................	0.23 ± 0.10	0.36 ± 0.10	0.30 ± 0.07
HMHD^a .................	− 0.08 ± 0.10	0.02 ± 0.10	− 0.03 ± 0.07
SEVEM .................	0.37 ± 0.12	0.18 ± 0.12	0.28 ± 0.08
HMHD^a .................	0.07 ± 0.12	0.07 ± 0.12	0.07 ± 0.08
SMICA ^b .................	0.42 ± 0.10	0.36 ± 0.10	0.39 ± 0.07
HMHD^a .................	− 0.04 ± 0.10	− 0.04 ± 0.10	− 0.04 ± 0.07
E–B
Commander ..............	0.41 ± 0.11	0.44 ± 0.11	0.43 ± 0.08
HMHD^a .................	0.03 ± 0.11	− 0.07 ± 0.11	− 0.02 ± 0.08
NILC^b .................	0.33 ± 0.09	0.38 ± 0.08	0.35 ± 0.06
HMHD^a .................	− 0.10 ± 0.09	0.01 ± 0.08	− 0.05 ± 0.06
SEVEM .................	0.28 ± 0.12	0.32 ± 0.12	0.30 ± 0.09
HMHD^a .................	0.04 ± 0.12	0.04 ± 0.12	0.04 ± 0.09
SMICA ^b .................	0.25 ± 0.09	0.37 ± 0.09	0.31 ± 0.06
HMHD^a .................	− 0.11 ± 0.09	0.01 ± 0.09	− 0.05 ± 0.06
Combined
Commander ..............	0.38 ± 0.08	0.40 ± 0.08	0.39 ± 0.06
HMHD^a .................	− 0.05 ± 0.08	− 0.12 ± 0.08	− 0.09 ± 0.06
NILC ^b .................	0.28 ± 0.06	0.37 ± 0.06	0.33 ± 0.05
HMHD^a .................	− 0.10 ± 0.06	0.01 ± 0.06	− 0.04 ± 0.05
SEVEM .................	0.32 ± 0.08	0.25 ± 0.08	0.29 ± 0.06
HMHD^a .................	0.05 ± 0.09	0.05 ± 0.08	0.05 ± 0.06
SMICA^b .................	0.32 ± 0.07	0.37 ± 0.06	0.35 ± 0.05
HMHD^a .................	− 0.08 ± 0.07	− 0.01 ± 0.06	− 0.04 ± 0.05

Notes.

^(a)

We include the fit from each component-separation method’s half-mission half-difference (HMHD) Q and U maps, as an indication of the expectation for noise.

^(b)

NILC and SMICA have smaller uncertainties compared with Commander and SEVEM, which follows from the naive expectation of the rms in the polarization maps (see Table 1 of Planck Collaboration IX 2016).

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