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Anomalies in the large-scale CMB temperature sky measured by WMAP have beensuggested as possible evidence for a violation of statistical isotropy on largescales. In any physical model for broken isotropy, there are testableconsequences for the CMB polarization field. We develop simulation tools forpredicting the polarization field in models that break statistical isotropylocally through a modulation field. We study two different models: dipolarmodulation, invoked to explain the asymmetry in power between northern andsouthern ecliptic hemispheres, and quadrupolar modulation, posited to explainthe alignments between the quadrupole and octopole. For the dipolar case, weshow that predictions for the correlation between the first 10 multipoles ofthe temperature and polarization fields can typically be tested at better thanthe 98% CL. For the quadrupolar case, we show that the polarization quadrupoleand octopole should be moderately aligned. Such an alignment is a genericprediction of explanations which involve the temperature field at recombinationand thus discriminate against explanations involving foregrounds or localsecondary anisotropy. Predicted correlations between temperature andpolarization multipoles out to l = 5 provide tests at the ~ 99% CL or strongerfor quadrupolar models that make the temperature alignment more than a fewpercent likely. As predictions of anomaly models, polarization statistics movebeyond the a posteriori inferences that currently dominate the field.

Testable polarization predictions for models of CMB isotropy anomalies