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We discuss detectability of the nonlinear growth of the large-scale structurein the cosmic microwave background (CMB) lensing. Lensing signals involved inCMB anisotropies have been measured from multiple CMB experiments, such asAtacama Cosmology Telescope (ACT), Planck, POLARBEAR, and South Pole Telescope(SPT). Reconstructed lensing signals are useful to constrain cosmology viatheir angular power spectrum, while detectability and cosmological applicationof their bispectrum induced by the nonlinear evolution are not well studied.Extending the analytic estimate of the galaxy lensing bispectrum presented byTakada and Jain (2004) to the CMB case, we show that even near term CMBexperiments such as Advanced ACT, Simons Array and SPT3G could detect the CMBlensing bispectrum induced by the nonlinear growth of the large-scalestructure. In the case of the CMB Stage-IV, we find that the lensing bispectrumis detectable at $\gtrsim 50\sigma$ statistical significance. This preciselymeasured lensing bispectrum has rich cosmological information, and could beused to constrain cosmology, e.g., the sum of the neutrino masses and thedark-energy properties.

CMB Lensing Bispectrum from Nonlinear Growth of the Large Scale Structure