  Primordial non-Gaussianities enhanced at small wavevectors can induce a power
spectrum of the galaxy overdensity that differs greatly from that of the matter
overdensity at large length scales. In previous work, it was shown that
"squeezed" three-point and "collapsed" four-point functions of the curvature
perturbation $\zeta$ can generate these non-Gaussianities and give rise to
so-called scale-dependent and stochastic bias in the galaxy overdensity power
spectrum. We explore a third way to generate non-Gaussianities enhanced at
small wavevectors: the infrared behavior of quantum loop contributions to the
four-point correlations of $\zeta$. We show that these loop effects lead to
stochastic bias, which can be observable in the context of quasi-single field
inflation.
