Calculation of the SDE-contribution of the dissipation operator to the energy spectrum of developed turbulence

The nonanalytic correction to the energy spectrum of the developed turbulence in the one-loop approximation of $\varepsilon$-expansion is calculated. It has the form $u^4\ln u$ ($u\equiv kL$, $L$ is the external scale of the turbulence), which is in agreement with Wilson's short distance expansion prediction. The amplitude of the contribution of the dissipation operator to the energy spectrum is determined. Bibliography: 7 titles.