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We have developed an analytical method based on forward-modeling techniquesto characterize the high-mass end of the red sequence (RS) galaxy population atredshift $z\sim0.55$, from the DR10 BOSS CMASS spectroscopic sample, whichcomprises $\sim600,000$ galaxies. The method, which follows an unbinned maximumlikelihood approach, allows the deconvolution of the intrinsic CMASScolour-colour-magnitude distributions from photometric errors and selectioneffects. This procedure requires modeling the covariance matrix for the i-bandmagnitude, g-r colour and r-i colour using Stripe 82 multi-epoch data. Ourresults indicate that the error-deconvolved intrinsic RS distribution isconsistent, within the photometric uncertainties, with a single point($<0.05~{\rm{mag}}$) in the colour-colour plane at fixed magnitude, for anarrow redshift slice. We have computed the high-mass end ($^{0.55}M_i \lesssim-22$) of the $^{0.55}i$-band RS Luminosity Function (RS LF) in several redshiftslices within the redshift range $0.52<z<0.63$. In this narrow redshift range,the evolution of the RS LF is consistent, within the uncertainties in themodeling, with a passively-evolving model with $\Phi_* = (7.248 \pm 0.204)\times10^{-4}$ Mpc$^{-3}$ mag$^{-1}$, fading at a rate of $1.5\pm0.4$ mag perunit redshift. We report RS completeness as a function of magnitude andredshift in the CMASS sample, which will facilitate a variety ofgalaxy-evolution and clustering studies using BOSS. Our forward-modeling methodlays the foundations for future studies using other dark-energy surveys likeeBOSS or DESI, which are affected by the same type of photometricblurring/selection effects.

The High-Mass End of the Red Sequence at z~0.55 from SDSS-III/BOSS: completeness, bimodality and luminosity function