We investigate the environmental quenching of galaxies, especially those with stellar masses (M*), beyond the local universe. Essentially all local low-mass quenched galaxies (QGs) are believed to live close to massive central galaxies, which is a demonstration of environmental quenching. We use CANDELS data to test {\it whether or not} such a dwarf QG–massive central galaxy connection exists beyond the local universe. To this purpose, we only need a statistically representative, rather than a complete, sample of low-mass galaxies, which enables our study to . For each low-mass galaxy, we measure the projected distance () to its nearest massive neighbor (M*) within a redshift range. At a given redshift and M*, the environmental quenching effect is considered to be observed if the distribution of QGs () is significantly skewed toward lower values than that of star-forming galaxies (). For galaxies with , such a difference between and is detected up to . Also, about 10% of the quenched galaxies in our sample are located between two and four virial radii () of the massive halos. The median projected distance from low-mass QGs to their massive neighbors, , decreases with satellite M* at , but increases with satellite M* at . This trend suggests a smooth, if any, transition of the quenching timescale around at .

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