近日，扬州大学物理科学与技术学院的周康及其研究团队取得一项新进展。经过不懈努力，他们成功从双软定理构造标量有效场论的树级振幅。相关研究成果已于2024年12月10日在国际知名学生期刊《高能物理杂志》上发表。

本文提出了一种基于利用标量双软定理的新方法，该方法可应用于更广泛的范围。为了验证其适用性，研究人员采用此方法构建了非线性σ模型（NLSM）的树级振幅，以及NLSM中π子与双伴随标量耦合的树级振幅。

此外，研究人员还构建了接受主要高阶导数修正的最简单π子振幅，且外部支路的数量可任意。所有得到的振幅都被表述为对适当基的通用展开式。

据悉，著名的阿德勒零点可以完全确定非线性σ模型（NLSM）的树级振幅，但无法确定具有高阶导数相互作用的树级π子振幅。

附：英文原文

Title: Constructing tree amplitudes of scalar EFT from double soft theorem

Author: Zhou, Kang

Issue&Volume: 2024-12-10

Abstract: The well known Adler zero can fully determine tree amplitudes of non-linear sigma model (NLSM), but fails to fix tree pion amplitudes with higher-derivative interactions. In this paper we propose a novel method based on exploiting the double soft theorem for scalars, which can be applied to a wider range. To test the applicability, we use this method to construct tree NLSM amplitudes and tree amplitudes those pions in NLSM couple to bi-adjoint scalars. We also construct the simplest pion amplitudes which receive leading higher-derivative correction, with arbitrary number of external legs. All resulted amplitudes are formulated as universal expansions to appropriate basis.

DOI: 10.1007/JHEP12(2024)079

Source: https://link.springer.com/article/10.1007/JHEP12(2024)079