PT Journal AU LISA Cosmology Working Group (Bartolo, Nea Figueroa, DG TI Probing anisotropies of the Stochastic Gravitational Wave Background with LISA SO Journal of Cosmology and Astroparticle Physics JI J. Cosmol. Astropart. Phys. PY 2022 BP 009 EP 65pp VL 11 DI 10.1088/1475-7516/2022/11/009 LA English DE gravitational wave detectors; gravitational waves / sources; gravitational waves / theory; physics of the early universe AB We investigate the sensitivity of the Laser Interferometer Space Antenna (LISA) to the anisotropies of the Stochastic Gravitational Wave Background (SGWB). We first discuss the main astrophysical and cosmological sources of SGWB which are characterized by anisotropies in the GW energy density, and we build a Signal-to-Noise estimator to quantify the sensitivity of LISA to different multipoles. We then perform a Fisher matrix analysis of the prospects of detectability of anisotropic features with LISA for individual multipoles, focusing on a SGWB with a power-law frequency profile. We compute the noise angular spectrum taking into account the specific scan strategy of the LISA detector. We analyze the case of the kinematic dipole and quadrupole generated by Doppler boosting an isotropic SGWB. We find that beta Omega(GW) similar to 2 x 10(-11) is required to observe a dipolar signal with LISA. The detector response to the quadrupole has a factor similar to 10(3) beta relative to that of the dipole. The characterization of the anisotropies, both from a theoretical perspective and from a map-making point of view, allows us to extract information that can be used to understand the origin of the SGWB, and to discriminate among distinct superimposed SGWB sources. ER