Observation of a polarized stochastic gravitational-wave background in pulsar-timing-array experiments

We study the observation of polarized stochastic gravitational-wave background (SGWB) in pulsar-timing-array experiments. The time residual for an observed pulsar is formulated as a line-of-sight integral that incorporates effects term, from which we construct correlation function between pair pulsars terms overlap reduction functions (ORFs) SGWB intensity and polarization anisotropies. Our formulation provides numerical scheme computing ORFs high multipole moments lowest-moment linear are worked out first time.