Anisotropic thermal Sunyaev-Zel’dovich effect and the possibility of an independent measurement of the CMB dipole, quadrupole, and octupole

We consider the effect of the cosmic microwave background (CMB) frequency spectral distortions arising due to the Compton scattering of the anisotropic radiation on Sunyaev-Zel’dovich (SZ) clusters. We derive the correction to the thermal SZ effect due to the presence of multipoles with ℓ = 1 , 2, 3 in the anisotropy of the CMB radiation. We show that this effect gives us an opportunity for an independent evaluation of the CMB dipole, quadrupole and octupole angular anisotropy at our location using distorted signals from the nearby galaxy clusters and to distinguish between the Sachs-Wolfe (SW) and the integrated Sachs-Wolfe (ISW) effects by combining such signals from distant and nearby clusters. The future space mission Millimetron will have unprecedented sensitivity, which will make it possible to observe the spectral distortion we are considering.