无质量-有质量振幅对应关系 III：SMEFT 中的有质量振幅基
Massless-Massive Amplitude Correspondence III: Massive Amplitude Bases in the SMEFT
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中文总结 AI 辅助
本文建立无质量与有质量接触振幅的系统对应，通过ST基和MHC展开，应用于SMEFT电弱扇区至维度八，给出Wilson系数与振幅系数的显式关系。
中文摘要 AI 辅助
我们发展了一种在未破缺理论中的无质量接触振幅与自发对称性破缺后的有质量接触振幅之间的系统性对应关系。我们的构造采用自旋-横度（ST）有质量振幅基，并通过最小螺旋度-手征性（MHC）振幅进行系统的高能展开。由此产生的对质量粒子的 $U(2)=SU(2)\ imes U(1)_t$ 描述使得无质量洛伦兹结构的半标准杨图构造直接适用于有质量振幅。当领头阶 MHC 分量具有无质量接触极限时，它与紫外振幅一一对应直接匹配。否则，我们识别出五类特殊的 ST 振幅，它们的第一非零后代分量通过守恒流耦合与无质量接触振幅匹配。我们将该框架应用于标准模型有效场论（SMEFT）的单味电弱扇区至维度八，获得了三到八个外粒子振幅的未破缺相 Wilson 系数与破缺相 ST 振幅系数之间的显式关系。
英文摘要
We develop a systematic correspondence between massless contact amplitudes in an unbroken theory and massive contact amplitudes after spontaneous symmetry breaking. Our construction employs the spin-transversality (ST) massive amplitude basis, with the systematic high energy expansion through minimal-helicity-chirality (MHC) amplitudes. The resulting $U(2)=SU(2)\times U(1)_t$ description of a massive particle makes the semi-standard Young-tableau construction of massless Lorentz structures directly applicable to massive amplitudes. When the leading-order MHC component has a massless contact limit, it is one-to-one matched directly to its UV amplitude. Otherwise, five exceptional classes of ST amplitudes are identified, their first non-zero descendant components are matched through conserved current couplings to the massless contact amplitude. We apply the framework to the one-flavor electroweak sector of the Standard Model Effective Field Theory (SMEFT) through dimension eight, obtaining explicit relations between unbroken-phase Wilson coefficients and broken-phase ST amplitude coefficients for amplitudes with three to eight external particles.
