Autocorrelation of the Mobius Function

Let $x\ge 1$ be a large integer, and let $\mu :\mathbb{N}⟶\{-1,0,1\}$ be the Mobius function. This article proposes an effective asymptotic result for the autocorrelation function ${\sum }_{n\le x}\mu (n)\mu (n+t)=O\left(e^{-c\sqrt{\log x}}\right)$, where $t\mathrm{\ne }0$ be a small fixed integer, and $c>0$ is a constant.