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We analyze the size evolution of $16000$ star-forming galaxies (SFGs) and$5000$ quiescent galaxies (QGs) with mass $M_*>10^{9.5}M_\odot$ at $0.1<z<0.9$from the COSMOS field using deep CLAUDS+HSC imaging in two rest-framewavelengths, $3000$\r{A} (UV light) and $5000$\r{A} (visible light). Withhalf-light radius ($R_e$) as proxy for size, SFGs at characteristic mass $M_0 =5\times10^{10}M_\odot$ grow by $20\%$ ($30\%$) in UV (visible) light since$z\sim1$ and the strength of their size evolution increases with stellar mass.After accounting for mass growth due to star formation, we estimate that SFGsgrow by $75\%$ in all stellar mass bins and in both rest-frame wavelengths.Redder SFGs are more massive, smaller and more concentrated than bluer SFGs andthe fraction of red SFGs increases with time. These results point to theemergence of bulges as the dominant mechanism for the average size growth ofSFGs. We find two threshold values for the stellar mass density within central$1$kpc (${\Sigma}_1$): all SFGs with $\log{\Sigma}_1 > 9$ are red and only QGshave $\log{\Sigma}_1>9.7$. The size of $M_*=M_0$ QGs grows by $50\%$ ($110\%$)in the UV (visible) light. Up to $\sim20\%$ of this increase in size of massiveQGs is due to newcomers (recently quenched galaxies). However, newcomers cannotexplain the observed pace in the size growth of QGs; that trend has to bedominated by processes affecting individual galaxies, such as minor mergers andaccretion.

Two rest-frame wavelength measurements of galaxy sizes at $z<1$: the evolutionary effects of emerging bulges and quenched newcomers