AI 中文总结
研究对τ→Pν_τγ结构依赖振幅的结果进行评论，指出相关约定字典轴向项符号错误，修正后GR10振幅与轴向扇区手征预测相符但与矢量扇区手征反常符号相反，数值影响小。
AI 中文摘要
Arroyo-Ureña等人采用Guo和Roig的共振手征理论结果中τ→Pν_τγ的结构依赖（SD）振幅。GR10脚注2的约定字典轴向项符号错误，修正后GR10振幅在轴向扇区与O(p^4)手征预测相符但与矢量扇区手征反常符号相反，AHLRR脚注6的认定有误，数值影响小。
英文摘要
Arroyo-Ureña, Hernández-Tomé, López-Castro, Roig, and Rosell (AHLRR) take the structure-dependent (SD) amplitude for $τ\to P ν_τγ$ from the resonance chiral theory result of Guo and Roig (GR10), obtaining $δr_{SD} = +0.15\%$ in the pion channel. The convention dictionary in footnote 2 of GR10, repeated in footnote 1 of AHLRR, has the wrong sign in its axial entry: the printed amplitudes imply $F_A^{DF} = -2\sqrt{2}\, m_P F_A^{GR}$, not $+2\sqrt{2}\, m_P F_A^{GR}$. With the corrected dictionary, the GR10 amplitude agrees with the $O(p^4)$ chiral prediction in the axial sector but carries the opposite sign to the chiral anomaly in the vector sector; the relative sign fixed in the Decker-Finkemeier addendum is confirmed in both sectors. The identification in footnote 6 of AHLRR of their value with the pre-addendum result rests on the erroneous dictionary and does not hold. The numerical impact is small: $δr_{SD}$ shifts from $+0.150\%$ to $+0.146\%$ in the pion channel and from $+0.18\%$ to about $+0.16\%$ in the kaon channel.
Comments4 pages, 1 table. Comment on Phys. Rev. D 104, L091502 (2021) and JHEP 02 (2022) 173 [arXiv:2107.04603]. v2: added a reference to Bansal and Mahajan, Phys. Rev. D 103, 056017 (2021), and a sentence noting independent light-cone-sum-rule support for the relative sign; results and conclusions unchanged
