Area law, entanglement and OPE block

We present a new area law which is associated with the correlator of OPE blocks in general conformal field theory. The area law shows similar behaviour of black hole entropy or entanglement entropy. It includes a leading term which is proportional to the area of the entanglement surface, and a logarithmic subleading term with degree q. We extract the UV cutoff independent coefficients and discuss various properties of the coefficients.