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We present a cross-correlation analysis between $1'$ resolution totalintensity and polarization observations from the Atacama Cosmology Telescope(ACT) at 150 and 220 GHz and 15$''$ mid-infrared photometry from the Wide-fieldInfrared Survey Explorer (WISE) over 107 12.5$^\circ\times$12.5$^\circ$ patchesof sky. We detect a spatially isotropic signal in the WISE$\times$ACT $TT$cross power spectrum at 30$\sigma$ significance that we interpret as thecorrelation between the cosmic infrared background at ACT frequencies andpolycyclic aromatic hydrocarbon (PAH) emission from galaxies in WISE, i.e., thecosmic PAH background. Within the Milky Way, the Galactic dust $TT$ spectra aregenerally well-described by power laws in $\ell$ over the range 10$^3 < \ell <$10$^4$, but there is evidence both for variability in the power law index andfor non-power law behavior in some regions. We measure a positive correlationbetween WISE total intensity and ACT $E$-mode polarization at 1000$ < \ell\lesssim $6000 at $>$3$\sigma$ in each of 35 distinct $\sim$100 deg$^2$ regionsof the sky, suggesting alignment between Galactic density structures and thelocal magnetic field persists to sub-parsec physical scales in these regions.The distribution of $TE$ amplitudes in this $\ell$ range across all 107 regionsis biased to positive values, while there is no evidence for such a bias in the$TB$ spectra. This work constitutes the highest-$\ell$ measurements of theGalactic dust $TE$ spectrum to date and indicates that cross-correlation withhigh-resolution mid-infrared measurements of dust emission is a promising toolfor constraining the spatial statistics of dust emission at millimeterwavelengths.

The Atacama Cosmology Telescope: Galactic Dust Structure and the Cosmic PAH Background in Cross-correlation with WISE