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Based on SDSS g, r and SCUSS (South Galactic Cap of u-band Sky Survey) $u$photometry, we develop a photometric calibration for estimating the stellarmetallicity from $u-g$ and $g-r$ colors by using the SDSS spectra of 32,542 F-and G-type main sequence stars, which cover almost $3700$ deg$^{2}$ in thesouth Galactic cap. The rms scatter of the photometric metallicity residualsrelative to spectrum-based metallicity is $0.14$ dex when $g-r<0.4$, and $0.16$dex when $g-r>0.4$. Due to the deeper and more accurate magnitude of SCUSS $u$band, the estimate can be used up to the faint magnitude of $g=21$. Thisapplication range of photometric metallicity calibration is wide enough so thatit can be used to study metallicity distribution of distant stars. In thisstudy, we select the Sagittarius (Sgr) stream and its neighboring field halostars in south Galactic cap to study their metallicity distribution. We findthat the Sgr stream at the cylindrical Galactocentric coordinate of $R\sim 19$kpc, $\left| z\right| \sim 14$ kpc exhibits a relative rich metallicitydistribution, and the neighboring field halo stars in our studied fields can bemodeled by two-Gaussian model, with peaks respectively at [Fe/H]$=-1.9$ and[Fe/H]$=-1.5$.

Photometric Metallicity Calibration with SDSS and SCUSS and its Application to distant stars in the South Galactic Cap