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We investigate the history of dark energy to explain the present magnitude.We assume the dark energy is the residual cosmological constant. The mostimportant channel in the reheating process is the gluon pair productions by QCDtrace anomaly. We argue dark energy decays rapidly by gluon pair emissionsduring the reheating and after the big bang. The reheating temperature isdetermined by the decay width of dark energy Gamma and the Planck mass M_p assqrt{M_P Gamma} ~ 10^6GeV. It is the consequence of Friedmann's equation and anequilibrium condition Gamma~ H. As the Universe cools below the hadronic scale,dark energy density is almost frozen. Nevertheless the dark energy furtherdecreases by emitting two photons. We have estimated the current decay rate ofdark energy from the QED trace anomaly. The consistent solution of Friedmannequation is in an excellent agreement with the observations. The suppressionfactor of dark energy scale is the product of fine structure constant alpha andcurvature perturbation P as 10^{-30}=(\alpha^2P/4\pi)^2. We argue the conformalsymmetry breaking in the both UV and IR are necessary unless dark energy issubtracted. We also investigated lepto-genesis by adding massive right handedneutrinos. The realistic lepto-genesis takes place during reheating process.

Curvature Perturbations and Anomaly explain Dark Energy