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We examine whether the gravitational shear--intrinsic ellipticity (GI)correlation function of the luminous red galaxies (LRGs) can be modeled withthe distribution function of a misalignment angle advocated recently by Okumuraet al. For this purpose, we have accurately measured the GI correlation for theLRGs in the Data Release 6 (DR6) of the Sloan Digital Sky Survey (SDSS), whichconfirms the results of Hirata et al. who used the DR4 data. By comparing theGI correlation functions in the simulation and in the observation, we find thatthe GI correlation can be modeled in the current $\Lambda$CDM model if themisalignment follows a Gaussian distribution with a zero mean and a typicalmisalignment angle $\sigma_\theta=34.9^{+1.9}_{-2.1}$ degrees. We also find acorrelation between the axis ratios and intrinsic alignments of LRGs. Thiseffect should be taken into account in theoretical modeling of the GI andintrinsic ellipticity--ellipticity correlations for weak lensing surveys.

The Gravitational Shear--Intrinsic Ellipticity Correlation Functions of Luminous Red Galaxies in Observation and in the $\Lambda$CDM Model