Dwarf-Lensing

Measurements of stacked weak lensing halo mass profiles of dwarf galaxies, as published in Thornton, Amon, Wechsler et al. 2023.

An example notebook,

example.ipynb

is provided for clarity.

Measurements

We share the galaxy-galaxy lensing measurements for each of the three low-mass samples, LOW, MID, and HIGH. They are saved as:

*_measurements.csv

Each file is arranged as:

$R ,[h^{-1} \rm{Mpc}]$	$\Delta\Sigma(R),[h,M_\odot\rm{pc}^{-2}]$	$\sigma(\Delta\Sigma(R)),[h,M_\odot\rm{pc}^{-2}]$
..	..	..

These files contain data shown in the black data points and associated errors of the figure below (Figure 7 from Thornton, Amon, Wechsler et al. 2023).

Covariance Matrices

We also share the covariance matrices for each sample, saved as

*_cov.csv

The covariances matrices were produced with the Jackknife covariance estimation method, with $n=150$ Jackknife patches, and $p=15$ datapoints. If you wishes to match our use of the inverse covariances you should employ the Hartlap correction (Hartlap et al. 2007) to produce and unbiased estimate of the inverse covariance matrix.
For our jackknife estimated covariance, $C_*$:

$$C^{-1} = \frac{n-p-2}{n-1}C^{-1}_*$$

Distributions

We also provide our log stellar mass, $\log_{10}({M_*/M_\odot})$, and redshift, $z$, distributions as

log_sm_distrb.csv

and

z_distrb.csv

respectively.
Each file is arranged as

Bin Centres	LOW Weights	MID Weights	HIGH Weights
..	..	..	..

All bins are of a fixed width in either $\log_{10}({M_*/M_\odot})$ or $z$ space, so if you wish to produce the bins manually, the bin edges are defined by:

$\log_{10}({M_*/M_\odot})$ : $[4.4, 11.9]$, $\Delta = 0.1$
$z$ : $[0.0, 0.4]$, $\Delta = 0.01$

The distributions are those coloured in the figure below (Figure 5 from Thornton, Amon, Wechsler et al. 2023).