# Analysis results for configurations 30-33

## Contents

## Summary

This posting gives results for an ILC based analysis for configurations 30-33 introduced in the posting Simulations for configurations with different frequency coverage. The main goal is to understand the effect of frequency coverage on the bias in r. Results are given for foreground models 01-03, which are PySM models a1d1f1s1, a2d4f1s3, a2d7f1s3, and model 06, which is a model based on MHD simulations. Results for all XX.YY combinations are based on 1000 simulations with a fiducial value for r of zero. The seed of the random number generator is chosen so noise realizations for the different configurations are independent. This results in a statistical uncertainty for the bias of just above 1e-5.

The tables summarize the results, more details such as histograms for each XX.YY combination both before and after marginalization over foreground residuals as well as ILC spectra and foreground residuals for the first four realizations are provided below.

### Results for foreground model 01

Configuration | Bias on r before marginalization | Bias on r after marginalization |
---|---|---|

30 | 2.4e-4 | 2.0e-4 |

31 | 2.7e-4 | 2.4e-4 |

32 | 2.0e-4 | 1.5e-4 |

33 | 1.3e-4 | 0.9e-4 |

### Results for foreground model 02

Configuration | Bias on r before marginalization | Bias on r after marginalization |
---|---|---|

30 | 2.5e-4 | 2.1e-4 |

31 | 2.3e-4 | 2.0e-4 |

32 | 1.9e-4 | 1.4e-4 |

33 | 1.4e-4 | 1.0e-4 |

### Results for foreground model 03

Configuration | Bias on r before marginalization | Bias on r after marginalization |
---|---|---|

30 | 2.5e-4 | 2.1e-4 |

31 | 2.5e-4 | 2.2e-4 |

32 | 2.0e-4 | 1.4e-4 |

33 | 1.5e-4 | 1.1e-4 |

### Results for foreground model 06

Configuration | Bias on r before marginalization | Bias on r after marginalization |
---|---|---|

30 | 0.4e-4 | -0.1e-4 |

31 | 0.2e-4 | -0.2e-4 |

32 | 0.7e-4 | 0.0e-4 |

33 | -0.3e-4 | -0.7e-4 |

## Foreground model 01

Configuration | Bias on r before marginalization | Bias on r after marginalization |
---|---|---|

30 | 2.4e-4 | 2.0e-4 |

31 | 2.7e-4 | 2.4e-4 |

32 | 2.0e-4 | 1.5e-4 |

33 | 1.3e-4 | 0.9e-4 |

### Histograms before marginalization

### Histograms after marginalization

### ILC spectra and residuals for realizations 0000-0003

The ILC spectra are shown in blue. The remaining spectra show foreground residuals for dust (green), synchrotron (red), AME (orange), and the total foreground residual (purple).

#### Configuration 30

#### Configuration 31

#### Configuration 32

#### Configuration 33

## Foreground model 02

Configuration | Bias on r before marginalization | Bias on r after marginalization |
---|---|---|

30 | 2.5e-4 | 2.1e-4 |

31 | 2.3e-4 | 2.0e-4 |

32 | 1.9e-4 | 1.4e-4 |

33 | 1.4e-4 | 1.0e-4 |

### Histograms before marginalization

### Histograms after marginalization

### ILC spectra and residuals for realizations 0000-0003

The ILC spectra are shown in blue. The remaining spectra show foreground residuals for dust (green), synchrotron (red), AME (orange), and the total foreground residual (purple).

#### Configuration 30

#### Configuration 31

#### Configuration 32

#### Configuration 33

## Foreground model 03

Configuration | Bias on r before marginalization | Bias on r after marginalization |
---|---|---|

30 | 2.5e-4 | 2.1e-4 |

31 | 2.5e-4 | 2.2e-4 |

32 | 2.0e-4 | 1.4e-4 |

33 | 1.5e-4 | 1.1e-4 |

### Histograms before marginalization

### Histograms after marginalization

### ILC spectra and residuals for realizations 0000-0003

The ILC spectra are shown in blue. The remaining spectra show foreground residuals for dust (green), synchrotron (red), AME (orange), and the total foreground residual (purple).

#### Configuration 30

#### Configuration 31

#### Configuration 32

#### Configuration 33

## Foreground model 06

Configuration | Bias on r before marginalization | Bias on r after marginalization |
---|---|---|

30 | 0.4e-4 | -0.1e-4 |

31 | 0.2e-4 | -0.2e-4 |

32 | 0.7e-4 | 0.0e-4 |

33 | -0.3e-4 | -0.7e-4 |