cosebis

Calculate COSEBIs from C_ell power spectra

File

shear/cosebis/cl_to_cosebis/cl_to_cosebis.so

Attribution

Marika Asgari

Patrick Simon

URL

Citations

https://arxiv.org/abs/1201.2669

https://arxiv.org/abs/1601.00115

COSEBIs (Complete Orthogonal Sets of E/B-Integral) are a set of alternative two-point statistics designed to separate E/B-modes completely on a finite angular range. They have a reasonably localised response to Fourier modes, ell, and are also easy to measure from data. This module calculates both E_n and B_n log-COSEBIs from https://arxiv.org/abs/1002.2136.

The expectation value of B-modes is zero if there is no B-mode power spectra. To calculate B-mode COSEBIs simply switch input_section_name to take B-mode Cls as input and output_section_name to avoid mixing E/B-modes.

For this CosmoSIS edition we include the cl_to_cosebis mode for a KiDS-1000 or DES+KiDS joint analysis. This is taken from the public COSEBIs library of software https://github.com/maricool/2pt_stats which includes additional software to convert xi_pm measurements into COSEBIs and calculate covariance matrices. Note the ‘maricool’ version also includes additional capability to marginalise over an uncertain c-term which we do not include here for simplicity.

Assumptions

  • Flat sky approximation

Setup Parameters

Name

Type

Default

Description

theta_min

real

0.5

Minimum angular distance between galaxies in arcminutes.

theta_max

real

300.0

Maximum angular distance between galaxies in arcminutes.

n_max

integer

5

Maximum COSEBIs mode to be calculated: n=1,2,.., n_max.

input_section_name

str

shear_cl

Section name for input cls.

output_section_name

str

cosebis

Section name for outputs.

Wn_Output_FolderName

str

COSEBIS_DIR “/WnLog/”

Folder name for Wn files.

Wn_file_name

str

WnLog

Wn file name.

table_precision

int

10

number of digits used in saved WnLog table

number_of_Wn_l_bins

int

100000

number of log ell bins used in saved WnLog table

Roots_n_Norms_FolderName

str

COSEBIS_DIR “/TLogsRootsAndNorms”

Folder name for Roots and Normalisations.

Input values

Section

Name

Type

Default

Description

input_section_name

ell

real 1d

Sample ell values for input C_ell

nbin_a

int

Number of redshift bins in the first quantity.

nbin_b

int

Number of redshift bins in the second quantity. If nbin_a is not equal nbin_b gives an error.

nbin

int

Number of redshift bins used if nbin_a or b not found.

bin_i_j

real 1d

C_ell (no l(l+1) factor) for bin i and j.

Output values

Output values

Section

Name

Type

Description

output_section_name

n

real 1d

Array of mode values n for COSEBIs.

bin_i_j

real 1d

Array of E_n or B_n, for bin i and j.

theta_min

real

Minimum angle in arcmin

theta_max

real

Maximum angle in arcmin

nbin_a

int

Number of redshift bins in the first quantity.

nbin_b

int

Number of redshift bins in the second quantity. Currently nbin_a==nbin_b.