Planck pre-launch status: High Frequency Instrument polarization calibration

TL;DR

This paper discusses the calibration procedures and requirements for the Planck HFI instrument's polarization measurements, ensuring systematic errors are minimized for accurate CMB polarization data analysis.

Contribution

It introduces a semi-analytical method to propagate calibration errors to the CMB power spectra and reports pre-launch measurements meeting the necessary calibration precision.

Findings

Calibration uncertainties are below required thresholds.

Pre-launch measurements meet systematic error constraints.

Method accurately accounts for scanning strategy and detector combination.

Abstract

The High Frequency Instrument of Planck will map the entire sky in the millimeter and sub-millimeter domain from 100 to 857 GHz with unprecedented sensitivity to polarization ($\Delta P/T_{\tiny cmb} \sim 4\cdot 10^{-6}$) at 100, 143, 217 and 353 GHz. It will lead to major improvements in our understanding of the Cosmic Microwave Background anisotropies and polarized foreground signals. Planck will make high resolution measurements of the $E$-mode spectrum (up to $\ell \sim 1500$) and will also play a prominent role in the search for the faint imprint of primordial gravitational waves on the CMB polarization. This paper addresses the effects of calibration of both temperature (gain) and polarization (polarization efficiency and detector orientation) on polarization measurements. The specific requirements on the polarization parameters of the instrument are set and we report on their pre-flight measurement on HFI bolometers. We present a semi-analytical method that exactly accounts for the scanning strategy of the instrument as well as the combination of different detectors. We use this method to propagate errors through to the CMB angular power spectra in the particular case of Planck-HFI, and to derive constraints on polarization parameters. We show that in order to limit the systematic error to 10% of the cosmic variance of the $E$-mode power spectrum, uncertainties in gain, polarization efficiency and detector orientation must be below 0.15%, 0.3% and 1\deg\ respectively. Pre-launch ground measurements reported in this paper already fulfill these requirements.