# Maximum likelihood search results for Data Challenge 04 model 0, BK14 mask

B. Racine

This posting reports the ML search on the DC04d, a new variation of the Data challenge 4, where we generate and re-analyze maps which have the same hit pattern on the sky as in the BK14 analysis
We also report the DC04, DC04b, and DC04c results for comparison.

## Introduction

In the current posting, we analyse simulations with the mask used in the BK14 paper (DC04d). The corresponding power spectra are shown here, along with other masks.
We are using a BICEP/Keck-style parametrized foreground model, similarly to this posting, which looked at 04, 04b and 04c for different prior choices.
Only model 00 has been analyzed for now, with 300 simulations.
In the current analysis, we use flat priors on $$\beta$$'s and flat priors on $$A_L$$: $$A_L\in[0,2]$$.
More information about the sky model, the parametric model and priors can be found in older postings.

In section 1, we show the main results concerning the "r" results, and their dependence on $$A_L$$
In section 2, we show the ML parameters' distributions, including foreground parameters, in the form of histograms.
In section 3, we report tables of r constraints for different sky models, masks, lensing residuals, and with and without decorrelation in the ML search.
In appendix A, we plot the hitcount maps, i.e. masks 04, 04b, 04c and 04d.

## 1. Summary Plots

Figure 1 shows how the constraints on r evolve for the different observation masks, for sky model 00. Figure 2 shows the evolution of $$\sigma(r)$$ as a function of residual lensing $$A_L$$ for the 3 masks.

In figure 2, we show the evolution of $$\sigma(r)$$ as a function of $$A_L$$.

• The new 04d mask yields a steeper slope, as expected.

## 2: Parameter distributions

In figure 3, we report the full distribution of the ML parameters.

Comments on figure 3 (More comments in the case of DC04 can be seen in this posting):

## 3: DC4, DC4b and DC4c results table

In the following tables, we report the $$r$$ results for the case where all the parameters have generous flat priors.

### 00: Gaussian foregrounds

The mean values and standard deviations of $$r$$ for simulations with simple Gaussian foregrounds are summarized in Table 00, Table 00b and Table 00c, respectively for the circular 3% mask, the nominal Chile mask and the nominal Pole mask.

Figure 1 shows these results in a plot.

## Appendix A: hitcount maps

As explained here, 04 is the reference mask, with peak value at unity. The other masks have been rescaled to have the same total number of hits (i.e. same sum).