select the objects satisfying all the following criteria.

-   $i' \leq 26.0$

-   Subaru/*z’* or Subaru/updated-*z’* $\geq$ 2$\,\sigma$

-   UKIRT/*J* or HST/F125W $\geq$ 2$\,\sigma$

-   $B - R > 1.2$, $R - i' < 0.7$, and $B - R > 1.6(R - i') + 1.9$

-   $3.5 \leq z_{phot} < 4.5$ with reduced $\chi^2 \leq 2$

The criteria (1) is applied so as to select the galaxies bright enough to have small photometric errors, and the magnitude threshold corresponds to $S / N \gtrsim 11.5$. The criteria (2) and (3) are required to estimate the $\beta$ value accurately. Due to the stellar spikes and/or saturated pixels, some objects are not detected in the deeper Subaru/updated-*z’* or HST/F125W imaging but detected in the shallower Subaru/*z’* or UKIRT/*J* imaging. Therefore, we use such the criteria (2) and (3). The criteria (4) is the *BRi’*–LBG selection investigated by @Ouch04 for the Subaru/Suprime-Cam filter set, and this criteria is intended to pick up star-forming galaxies at *z* $\sim$ 4. In @Ouch04, the detectability of *z* $\sim$ 4 galaxies and the contamination rate from low-*z* galaxies are discussed, and leaders should refer to the reference for more details. After the criteria (1), (2), (3), and 