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The temperature-dependent electronic structures of heavy fermion compoundCeB$_{6}$ are investigated thoroughly by means of the combination of densityfunctional theory and single-site dynamical mean-field theory. The bandstructure, density of states, and 4$f$ valence state fluctuation of CeB$_{6}$are calculated in a broad temperature range of 10 $\sim$ 120 K. Overall, the4$f$ electrons remain incoherent, approximately irrespective of thetemperature. However, we find that these observables exhibit some unusualfeatures near 20 K. In addition, the evolution of 4$f$ orbital occupancy, totalangular momentum, and total energy with respect to temperature shows apparentsingularity around 20 K. We believe that these tantalizing characteristics areprobably related to a "hidden" electronic transition.

A "hidden" transition in heavy fermion compound CeB$_{6}$ at $T\sim$ 20 K?