2024/06/06 by Kang Zhou, Zhou, Kang · 3 citations
Biochemistry, Genetics and Molecular Biology · Decision Sciences · Engineering · #Advanced Control Systems Optimization #Eicosanoids and Hypertension Pharmacology #FOS: Physical sciences #Fuzzy and Soft Set Theory #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2406.03784
openalex publication_date 2024/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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. To fill this gap, in this paper we propose a new method based on exploiting the double soft theorem for scalars, which can be applied to a wider range. A remarkable feature of this method is, we only assume the universality of soft behavior at the beginning, and determine the explicit form of double soft factor in the process of constructing amplitudes. 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.