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arXiv 2602.02783hep-thhep-ph
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QCD散射振幅与规定性幺正性

QCD Scattering Amplitudes and Prescriptive Unitarity

Max-Planck-Institut für Physik（马克斯·普朗克物理研究所）；LAPTh, Université Savoie Mont Blanc, CNRS（萨瓦蒙布朗大学国家科学研究中心理论物理实验室）；Interdisciplinary Center for Theoretical Study, University of Science and Technology of China（中国科学技术大学理论中心）；Peng Huanwu Center for Fundamental Theory（彭桓武理论基础研究中心）；Center for High Energy Physics, Peking University（北京大学高能物理中心）

Sérgio Carrôlo, Dmitry Chicherin, Johannes Henn, Qinglin Yang, Yang Zhang

备注：
v1: 68 pages, 10 figures; v2: 73 pages and 11 figures, new subsections added, typos in the manuscript and ancillary files corrected
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AI总结：

提出平面QCD散射振幅最大超越部分的系统框架，通过规定性幺正性积分和壳上图计算两圈六胶子MHV振幅的符号，揭示最大超越性前因子与四维主导奇点的联系。

摘要：

我们提出了平面QCD散射振幅最大超越部分的系统框架，并在符号层面首次自举计算了无质量QCD中六胶子MHV振幅。通过分析被积函数水平上的最大权重投影，我们将其最大超越部分与规定性幺正性积分联系起来。这揭示了一种新颖的解析结构：乘以最大超越性函数的前因子被识别为理论的四维主导奇点。因此，这些前因子允许完全分类，并可以使用壳上图（最初在$\mathcal{N}{=}4$超杨-米尔斯理论中发展的形式主义）进行计算。作为一个具体应用，我们确定了任意多重数下平面MHV胶子振幅的两圈前因子。将这些前因子与平面两圈六点函数空间的最新进展以及明确的六点规定性幺正性输入相结合，我们构建了一个完整的符号ansatz，并通过施加物理约束唯一确定了双圈六胶子MHV QCD振幅的最大超越部分。得到的符号可以用简化的137字母字母表表示，这表明该字母表对于两圈六点无质量MHV散射是完整的。我们还讨论了对多共线分裂和多软函数的影响。

英文摘要：

We present a systematic framework for the maximally-transcendental part of planar QCD scattering amplitudes and perform the first bootstrap computation of six-gluon MHV amplitudes in massless QCD at the symbol level. By analyzing the maximal weight projection of amplitudes at the integrand level, we relate their maximally-transcendental parts to prescriptive unitarity integrals. This reveals a novel analytic structure: the prefactors multiplying the functions of maximal transcendentality are identified with the four-dimensional leading singularities of the theory. As a consequence, these prefactors admit a complete classification and can be computed using on-shell diagrams, a formalism originally developed in $\mathcal{N}{=}4$ super Yang-Mills theory. As a concrete application, we determine the two-loop prefactors for planar MHV gluon amplitudes at arbitrary multiplicity. Combining these prefactors with recent advances in the planar two-loop six-point function space and explicit six-point prescriptive-unitarity input, we construct a complete symbol ansatz and uniquely fix the maximally-transcendental part of the two-loop six-gluon MHV QCD amplitudes by imposing physical constraints. The resulting symbols are expressible in a reduced 137-letter alphabet, suggesting that this alphabet is complete for two-loop six-point massless MHV scattering. We also discuss the implications for multi-collinear splitting and multi-soft functions.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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