Reionization on Large Scales III: Predictions for Low-ell Cosmic
  Microwave Background Polarization and High-ell Kinetic Sunyaev-Zel'dovich
  Observables
  We present new predictions for temperature (on small angular scales) and
polarization (on large angular scales) CMB anisotropies induced during the
epoch of reionization (EoR). Using a novel method calibrated from
Radiation-Hydrodynamic simulations we model the EoR in large volumes (L >~ 2
Gpc/h) in the context of galactic reionization. We find that the EoR
contribution to the kinetic Sunyaev- Zel'dovich power spectrum (patchy kSZ)
ranges between ~0.6 - 2.8 muK^2 at ell = 3000, for the parameter space we
explored. These patchy kSZ power spectra are calculated from large 15 Deg x 15
Deg maps that are found to be necessary. Decreasing the size of these maps
biases the overall patchy kSZ power to higher values. We find that the
amplitude of the patchy kSZ power spectrum at ell = 3000 follows simple
scalings of D_ell=3000^kSZ propto <z> and D_ell=3000^kSZ propto Delz^0.47 for
the mean redshift (<z>) of reionization and the duration (dz). Using the
constraints on <z> from WMAP 7-year results and the lower limit on dz from
EDGES we find a lower limit of ~ 0.4 muK^2 on the kSZ at ell = 3000. Planck
will constrain the mean redshift and the Thomson optical depth from the low-ell
polarization power spectrum. Future measurements of the high-ell CMB power
spectrum from the South Pole Telescope (SPT) and the Atacama Cosmology
Telescope (ACT) should detect the patchy kSZ signal if the cross correlation
between the cosmic infrared background and the thermal Sunyaev Zel'dovich
effect is constrained. We show that the combination of temperature and
polarization measurements constrains both <z> and dz. The patchy kSZ maps,
power spectra templates and the polarization power spectra will be publicly
available.
