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In his recently published article [1], P.M. Stevenson has claimed that the"principle of maximum conformality (PMC) is ineffective and does nothing toresolve the renormalization-scheme-dependence problem", concluding that thesuccesses of PMC predictions is due to the fact that the PMC is a "laborious,ad hoc, back-door" version of the principle of minimum sensitivity (PMS). Wepoint out that these conclusions are incorrect, being drawn from amisunderstanding of the PMC and the overestimation of the PMS. The purpose ofthe PMC is to achieve precise fixed-order pQCD predictions, free fromconventional renormalization-scheme and -scale ambiguities. We havedemonstrated that the PMC predictions satisfy all the self-consistencyconditions of the renormalization group and standard renormalization-groupinvariance; the PMC prediction is thus independent of any initial choice ofrenormalization scheme and scale. Such scheme independence is also ensured bythe commensurate scale relations among different observables. In the $N_C\to 0$Abelian limit the PMC method reduces to the well-known Gell-Mann--Low methodfor precision calculations in Abelian QED. Owing to the elimination of thefactorially divergent renormalon terms, the PMC series generally has betterconvergence behavior than the conventional series, can substantially suppressany residual scale dependence due to unknown higher-order terms, and thusprovides a reliable basis for estimating the contributions of the unknownhigher-order terms. The full Abstract and detailed explanations are given inthe body of the text.

Comment on P.M. Stevenson, "`Maximal conformality' does not work", Phys. Lett. B 847 (2023) 138288