  We present a first joint analysis of the power spectra of the thermal
Sunyaev-Zeldovich (tSZ) effect measured by the Planck and the number density
fluctuations of galaxies in the 2MASS redshift survey (2MRS) catalog, including
their cross-correlation. Combining these measurements with the cosmic microwave
background (CMB) data and CMB lensing of Planck assuming a flat $\Lambda$CDM
model, we constrain the mass bias parameter as $B = 1.54 \pm 0.098\;(1\sigma)$
[$(1-b) = 0.649 \pm 0.041$, where $(1-b) \equiv B^{-1}$], i.e., the Planck
cluster mass should be $35\%$ lower than the true mass. The mass bias
determined by the 2MRS-tSZ cross-power spectrum alone is consistent with that
determined by the tSZ auto-power spectrum alone, suggesting that this large
mass bias is not due to obvious systematics in the tSZ data. We find that the
2MRS-tSZ cross-power spectrum is more sensitive to less massive halos than the
tSZ auto-power spectrum and it significantly improves a constraint on the mass
dependence of the mass bias. The redshift dependence is not strongly
constrained since the multipole range in which high redshift clusters mainly
contribute to the tSZ auto is dominated by the contaminating sources. We
conclude that no strong mass or redshift evolution of the mass bias is needed
to explain the data.
