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We investigate the order parameter of noncentrosymmetric superconductors ${\mathrm{Li}}_{2}{\mathrm{Pd}}_{3}\mathrm{B}$ and ${\mathrm{Li}}_{2}{\mathrm{Pt}}_{3}\mathrm{B}$ via the behavior of the penetration depth $\ensuremath{\lambda}(T)$. The low-temperature penetration depth shows BCS-like behavior in ${\mathrm{Li}}_{2}{\mathrm{Pd}}_{3}\mathrm{B}$, while in ${\mathrm{Li}}_{2}{\mathrm{Pt}}_{3}\mathrm{B}$ it follows a linear temperature dependence. We propose that broken inversion symmetry and the accompanying antisymmetric spin-orbit coupling, which …