Cross correlation with thermal Sunyaev-Zel&#039;dovich (tSZ) effect in cosmic<br />
microwave background observation and weak gravitational lensing effect in<br />
galaxy imaging survey opens a new window on constraining matter contents in the<br />
Universe at redshift less than 1. In this paper, we study the impact of radio<br />
sources and cosmic infrared background (CIB) on observed tSZ-lensing<br />
correlation. Assuming the best-fit model of CIB by the Planck satellite, we<br />
estimate that the residual correlation of CIB with large-scale structures will<br />
be of an order of $2\%$ of expected tSZ-lensing correlation from intracluster<br />
medium in current lensing surveys. On the other hand, we find that correlation<br />
of lensing and radio sources can induce a negative correction for the observed<br />
tSZ-lensing correlation with a $\sim10\%$ level. This is originated from<br />
positive cross correlation with radio sources and lensing at $\sim100\, {\rm<br />
GHz}$ frequency, whereas tSZ-lensing correlation should show a negative value<br />
in temperature fluctuations at that frequency. We also show that the negative<br />
correction by radio-lensing correlation can solve the tension between recent<br />
measurements of tSZ-lensing correlation and an expected signal from<br />
``universal&#039;&#039; gas pressure profile of nearby galaxy clusters, when the radio<br />
sources with flat-spectral index are assumed to populate massive cluster-sized<br />
dark matte halos. Our results indicate that minor source population in radio<br />
bands can play an important role in determining observed tSZ-lensing<br />
correlation at $&lt;10$ arcmin.