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The stochastic gravitational wave background (GWB) from halo mergers isinvestigated by a quasi-analytic method. The method we employ consists of twosteps. The first step is to construct a merger tree by using the ExtendedPress-Schechter formalism or the Sheth & Tormen formalism, with Monte-Carlorealizations. This merger tree provides evolution of halo masses. From $N$-bodysimulation of two-halo mergers, we can estimate the amount of gravitationalwave emission induced by the individual merger process. Therefore the secondstep is to combine this gravitaional wave emission to the merger tree andobtain the amplitude of GWB. We find $\Omega_{GW}\sim 10^{-19}$ for $f\sim10^{-17}-10^{-16}$ Hz, where $\Omega_{GW}$ is the energy density of the GWB. Itturns out that most of the contribution on the GWB comes from halos with massesbelow $10^{15} M_\odot$ and mergers at low redshift, i.e., $0<z<0.8$.

Stochastic Gravitational Wave Background originating from Halo Mergers