The paper by Grzadkowski, Iskrzyński, Misiak, and Rosiek revisits the classification of dimension-six operators in the Standard Model (SM) Lagrangian, which arise when the SM is considered as an effective low-energy theory. The authors aim to provide an updated and complete list of these operators, addressing issues that have been noted in previous literature. They classify the operators into three categories based on the number of fermion fields they contain: 0, 2, and 4. Their classification is based on the assumption of baryon number conservation, leading to 59 independent operators (15 bosonic, 19 single-fermionic-current, and 25 four-fermion operators). The paper also discusses the implications of relaxing the assumption of baryon number conservation, which introduces four new operators in the four-fermion sector. The authors compare their results with those of Buchmüller and Wyler, identifying several redundant operators and providing a detailed breakdown of the classification process. The paper concludes with a comprehensive list of the dimension-five and dimension-six operators, along with their physical interpretations and phenomenological implications.The paper by Grzadkowski, Iskrzyński, Misiak, and Rosiek revisits the classification of dimension-six operators in the Standard Model (SM) Lagrangian, which arise when the SM is considered as an effective low-energy theory. The authors aim to provide an updated and complete list of these operators, addressing issues that have been noted in previous literature. They classify the operators into three categories based on the number of fermion fields they contain: 0, 2, and 4. Their classification is based on the assumption of baryon number conservation, leading to 59 independent operators (15 bosonic, 19 single-fermionic-current, and 25 four-fermion operators). The paper also discusses the implications of relaxing the assumption of baryon number conservation, which introduces four new operators in the four-fermion sector. The authors compare their results with those of Buchmüller and Wyler, identifying several redundant operators and providing a detailed breakdown of the classification process. The paper concludes with a comprehensive list of the dimension-five and dimension-six operators, along with their physical interpretations and phenomenological implications.