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We study the $(1+1)$-dimensional Villain, Lai, and Das Sarma (VLDS) equationdriven by a Gaussian white noise and implement a renormalization scheme withoutrescaling at one-loop order. Using a diagrammatic method, we calculate therenormalized second and third moments in the large-scale and long-time limits.The ensuing skewness value is $S=-0.0441$. This (negative) value is consistentwith the numerical prediction of Das Sarma \emph{et al.} [Phys. Rev. E {\bf 53}359 (1996)].

A Renormalization Scheme and Skewness of Height Fluctuations in $(1+1)$-dimensional VLDS Dynamics