A parametrization of the Baker–Campbell–Hausdorff formula for boson superfields in a lie algebra

A compact form of expression of the Baker–Campbell–Hausdorff formula is obtained. In it, the dependence of the boson superfields, which take values on the Grassmann hull $\mathscr G(\Lambda_2)$ of the Lie algebra $\mathscr G$, on the generators of $\Lambda_2$ is factorized in the form of a single exponential.