发表机构
Università degli Studi di Padova; Istituto Nazionale di Fisica Nucleare, Sezione di Padova（帕多瓦大学; 意大利国家核物理研究所帕多瓦分部）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该论文利用壳上方法推导了四维有效场论的全阶非重整化定理，给出算符混合在特定圈阶消失的条件，并识别了维度五至八算符在更高圈阶的未知零点，为当前计算提供检验。
AI 中文摘要
利用壳上方法，我们推导了普遍四维有效场论中的一个全阶非重整化定理，该定理依赖于庞加莱不变性和幺正性。每个算符 $\mathcal O$ 被赋予权重 $(w,\bar w)=(\ell-h,\ell+h)$，其中 $\ell$ 和 $h$ 分别是其最小构型中的粒子数和总螺旋度。在 $L$ 圈阶，当 $\ell_j-\ell_i=L-1$ 且 $w_i<w_j-2(L-1)$ 或 $\bar w_i<\bar w_j-2(L-1)$ 时，混合 $\mathcal O_j\to\mathcal O_i$ 消失，前提是不存在非全纯的 Yukawa 耦合。这些零点完全由树级数据决定，并且在保持算符长度选择定则的有限重整化下与方案无关。对于维度五到八的算符，我们在更高圈阶识别出广泛类别的先前未知的零点，特别强调两圈阶，在该阶定理为当前计算提供直接检验，例如在标准模型有效场论中。
英文摘要
Using on-shell methods, we derive an all-order non-renormalization theorem for general four-dimensional effective field theories, relying on Poincaré invariance and unitarity. Each operator $\mathcal O$ is assigned the weights $(w,\bar w)=(\ell-h,\ell+h)$, where $\ell$ and $h$ are the number of particles and total helicity of its minimal configuration. At $L$ loops, the mixing $\mathcal O_j\to\mathcal O_i$ vanishes when $\ell_j-\ell_i=L-1$ and either $w_i<w_j-2(L-1)$ or $\bar w_i<\bar w_j-2(L-1)$, in the absence of non-holomorphic Yukawa couplings. These zeros follow entirely from tree-level data and are scheme independent under finite renormalizations that preserve the operator-length selection rule. For operators of dimensions five through eight, we identify broad classes of previously unknown zeros at higher loop orders, with particular emphasis on two loops, where the theorem provides direct checks on current calculations, as in the Standard Model Effective Field Theory.
Comments4 pages
