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We build an analytical framework to study the observability of anisotropiesand a net chiral polarization of the Stochastic Gravitational Wave Background(SGWB) with a generic network of ground-based detectors. We apply thisformalism to perform a Fisher forecast of the performance of a networkconsisting of the current interferometers (LIGO, Virgo and KAGRA) and plannedthird-generation ones, such as the Einstein Telescope and Cosmic Explorer. Ourresults yield limits on the observability of anisotropic modes, spanning acrossnoise- and signal-dominated regimes. We find that if the isotropic component ofthe SGWB has an amplitude close to the current limit, third-generationinterferometers with an observation time of $10$ years can measure multipoles(in a spherical harmonic expansion) up to $\ell = 8$ with ${\cal O }\left(10^{-3} - 10^{-2} \right)$ accuracy relative to the isotropic component, and an${\cal O }\left( 10^{-3} \right)$ amount of net polarization. For weakersignals, the accuracy worsens as roughly the inverse of the SGWB amplitude.

Prospects for detecting anisotropies and polarization of the stochastic gravitational wave background with ground-based detectors