Testing CPT Symmetry with CMB Measurements

Abstract

In this paper we study the possibility of testing \emph{CPT} symmetry with Cosmic Microwave Background (CMB) measurements. Working with an effective lagrangian of the photon with \emph{CPT} violation $\mathcal{L}\sim p_{\mu }{A}_{\nu }{\tilde{F}}^{\mu \nu }$ which causes the polarization vectors of the propagating CMB photons rotated, we determine the rotation angle $\Delta \alpha$ using the BOOMERanG 2003 and the WMAP3 angular power spectra. In this analysis we have included the newly released $TC$ and $GC$ ($l<450$) information of WMAP3 and found $\Delta \alpha =-6.2\pm 3.8$ deg at $1\sigma$ confidence level. This result increases slightly the significance for the \emph{CPT} violation obtained in our previous paper (Feng \emph{et al.}, 2006) $\Delta \alpha =-6.0\pm 4.0$ deg (1$\sigma$). Furthermore we examine the constraint on the rotation angle with the simulated Planck data. Our results show that the Planck will be sensitive to $\Delta \alpha$ at the level of 0.057 deg and able to test the \emph{CPT} symmetry with a higher precision.

4 pages, 2 figures, 1 table, Accepted for publication on A&A

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