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Baryon acoustic oscillations (BAOs) imprinted in the galaxy power spectrumcan be used as a standard ruler to determine angular diameter distance andHubble parameter at high redshift galaxies. Combining redshift distortioneffect which apparently distorts the galaxy clustering pattern, we can alsoconstrain the growth rate of large-scale structure formation. Usually, futureforecast for constraining these parameters from galaxy redshift surveys hasbeen made with a full 2D power spectrum characterized as function of wavenumber$k$ and directional cosine $\mu$ between line-of-sight direction and wavevector, i.e., $P(k,\mu)$. Here, we apply the multipole expansion to the full 2Dpower spectrum, and discuss how much cosmological information can be extractedfrom the lower-multipole spectra, taking a proper account of the non-lineareffects on gravitational clustering and redshift distortion. The Fisher matrixanalysis reveals that compared to the analysis with full 2D spectrum, a partialinformation from the monopole and quadrupole spectra generally degrades theconstraints by a factor of $\sim1.3$ for each parameter. The additionalinformation from the hexadecapole spectrum helps to improve the constraints,which lead to an almost comparable result expected from the full 2D spectrum.

Forecasting the Cosmological Constraints with Anisotropic Baryon Acoustic Oscillations from Multipole Expansion