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This paper explores the detection capability of space-borne detectors to theanisotropic stochastic gravitational-wave background (SGWB) without relying onthe low-frequency approximation. To assess the detection performance, wecalculate the power-law integrated sensitivity (PLIS) curve. Our resultsdemonstrate that a single detector has limited capabilities in detectingmultipole moments beyond the monopole ($l=0$), quadrupole ($l=2$), andhexadecapole ($l=4$). However, when multiple detectors are combined, thepresence of multiple pointing directions and the separation between detectorssignificantly enhance the detection capabilities for the other multipolemoments. For instance, when considering the dipole ($l=1$), combining TianQinwith TianQin II and LISA with TianQin significantly improves the detectionsensitivity by 2-3 orders of magnitude, compared with using a single TianQinand a single LISA, respectively.

Sensitivity to anisotropic stochastic gravitational-wave background with space-borne networks