Planck 2013 results
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Table 18

Orientations of the quadrupole and octopole components extracted from the four Planck CMB maps, as determined by a maximization of the angular momentum dispersion (see Eq. (26)).

Method (l,b) quadrupole [°] (l,b) octopole [°] Ang. distance [°] Scalar product Probability

C-R ........ (228.2,60.3) (246.1,66.0) 9.80 0.985 0.019
NILC ........ (241.3,77.3) (241.7,64.2) 13.1 0.974 0.033
SEVEM ........ (242.4,73.8) (245.6,64.8) 9.08 0.988 0.016
SMICA ........ (238.5,76.6) (239.0,64.3) 12.3 0.977 0.032
NILC, KQ corrected ... (225.6,69.7) (241.7,64.2) 8.35 0.989 0.011
SEVEM, KQ corrected ... (228.3,68.3) (245.6,64.8) 7.69 0.991 0.009
SMICA, KQ corrected ... (224.2,69.2) (239.0,64.3) 7.63 0.991 0.009

Notes. The absolute value of the scalar-product between the orientation vectors of the quadrupole and the octopole are provided in the fifth column. For an isotropic universe, this is uniformly distributed on the interval [0,1]. The last column gives the probability for such an alignment (or stronger) to occur, as determined from the FFP6 simulations. Results computed after correction for the kinematic quadrupole (KQ) are denoted by “KQ corrected”. In practice, we multiply the usual expression for the angular dependence of the KQ (see Kamionkowski & Knox 2003) in the Rayleigh-Jeans regime by factors that account for both its frequency dependence and the relative contributions of the different Planck frequencies to the component separated maps. For NILC, SEVEM, and SMICA these factors are 1.7, 1.5, and 1.7, respectively.

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