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Cross-correlating the lensing signals of galaxies and comic microwavebackground (CMB) fluctuations is expected to provide valuable cosmologicalinformation. In particular it may help tighten constraints on parametersdescribing the properties of intrinsically aligned galaxies at high redshift.To access the information conveyed by the cross-correlation signal its accuratetheoretical description is required. We compute the bias to CMB lensing-galaxyshape cross-correlation measurements induced by nonlinear structure growth.Using tree-level perturbation theory for the large-scale structure bispectrumwe find that the bias is negative on most angular scales, therefore mimickingthe signal of intrinsic alignments. Combining Euclid-like galaxy lensing datawith a CMB experiment comparable to the Planck satellite mission the biasbecomes significant only on smallest scales ($\ell\gtrsim 2500$). For improvedCMB observations, however, the corrections amount to 10-15 per cent of the CMBlensing-intrinsic alignment signal over a wide multipole range ($10 \lesssim\ell \lesssim 2000$). Accordingly the power spectrum bias, if uncorrected,translates into $2\sigma$ and $3\sigma$ errors in the determination of theintrinsic alignment amplitude in case of CMB stage III and stage IVexperiments, respectively.

monthly notices of the royal astronomical society

Imitating intrinsic alignments: A bias to the CMB lensing-galaxy shape  cross-correlation power spectrum induced by the large-scale structure  bispectrum