Mitigating the impact of fiber assignment on the measurement of
  galaxy-lensing cross correlation
  We examine the impact of fiber assignment on the measurement of galaxy
clustering and its cross correlation with weak lensing fields. Unlike the past
spectroscopic galaxy surveys such as Baryon Oscillation Spectroscopic Survey
(BOSS), currently ongoing spectroscopic galaxy surveys such as Prime Focus
Spectrograph (PFS) and Dark Energy Spectroscopic Instrument (DESI) suffer from
the fiber assignment artifacts more severely because there are more target
galaxies than available fibers. The previous studies found that the fiber
assignment suppresses the amplitude of the galaxy power spectrum at all scales.
We newly find that the fiber assignment introduces the artificial correlation
of structure at different redshifts, which suppresses the amplitude of the
galaxy-lensing cross power spectrum. We show that the fiber assignment effects
on the cross power spectrum can be mitigated at all scales with accuracy better
than $\sim 1\%$, by up-weighting observed galaxies with the probability to be
observed. This is not the case for the galaxy power spectrum, which is not
fully corrected at $k \gtrsim 0.2$ [$h$/Mpc]. We find that the galaxy-lensing
cross power spectrum is not affected by the pairwise probability of galaxies to
be observed, and thus the correction method based on the individual probability
is sufficient at all scales.
