近日，美国西北大学Sai Sasank Chava团队研究了涉及费米子的D维四点高导数接触振幅构建。2026年2月10日，《高能物理杂志》发表了这一成果。

研究组提出一种新颖的鲁棒性框架，用于系统化构建D维四点高导数接触振幅。该模块化积木式（类“乐高”）方法直接通过显式规范不变的动力学模块、色荷权重因子和标量曼德斯塔姆多项式构建振幅。玻色/费米对称性以代数方式施加，作为筛选兼容模块组合的过滤器。

此框架完全在D维空间运行，自然纳入对圈图一致性至关重要的瞬逝算符。通过使用置换不变的标量多项式，研究组以高度可控的方式实现任意质量维度的标度延拓，有效规避组合爆炸。其关键特征在于与双拷贝纲领的显式兼容性，使得不仅能系统生成规范理论中的算符塔，还可延伸至引力及其他双拷贝网络内的理论体系。

附：英文原文

Title: D-dimensional modular assembly of higher-derivative four-point contact amplitudes involving fermions

Author: Carrasco, John Joseph M., Chava, Sai Sasank, Edison, Alex, Seifi, Aslan

Issue&Volume: 2026-02-10

Abstract: We present a novel robust framework for systematically constructing D-dimensional four-point higher-derivative contact amplitudes. Our modular block (“LEGO”-like) approach builds amplitudes directly from manifestly gauge-invariant kinematic blocks, color-weight factors, and scalar Mandelstam polynomials. Symmetries (Bose/Fermi) are imposed algebraically, acting as filters on combinations of compatible pieces. This framework operates entirely in D dimensions, naturally incorporating evanescent operators crucial for loop-level consistency. Scaling to arbitrary mass dimension is achieved in a highly controlled manner using permutation-invariant scalar polynomials, avoiding combinatorial explosion. A key feature is its manifest compatibility with the double-copy program, allowing the systematic generation of operator towers not only for gauge theories but also for gravity and other theories within the double-copy web.

DOI: 10.1007/JHEP02(2026)118

Source: https://link.springer.com/article/10.1007/JHEP02(2026)118