``Combining Interferometric SunyaevZel'dovich Effect Measurements and Weak Lensing"

Abstract
Weak lensing and the SunyaevZel'dovich effect (SZE) are each measures
of the projected mass distribution of galaxy clusters. Weak lensing is
probing the projected total mass, while the SZE is probing the
projected (temperatureweighted) gas distribution. Direct comparisons
of the two distributions should allow determinations of the gas mass
fraction and the gas temperature. With a local calibration of the true
gas fraction, it should be possible to estimate angular diameter
distances to clusters as well. Interferometric measurements must be
handled carefully, however, with the proper analysis done in the
Fourier domain, rather than on the reconstructed images. We present a
nonparametric method for comparing the SZE and mass distributions
that properly accounts for the finite fields of view of both the
interferometer and the weak lensing shear measurements. At the
sensitivity limits of current instruments, we estimate that the gas
fraction can be determined to an accuracy better than $20\%$ if the
gas temperature is known from other methods, while the temperature can
be estimated to a comparable precision if the redshift distribution of
lensed sources is approximately known.

