Constructing tree amplitudes of scalar EFT from double soft theorem

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...

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Main Author: Kang Zhou
Format: Article
Language:English
Published: SpringerOpen 2024-12-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP12(2024)079
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author Kang Zhou
author_facet Kang Zhou
author_sort Kang Zhou
collection DOAJ
description 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.
format Article
id doaj-art-66e35daa67b64a2c9e5d0b55630808f2
institution Kabale University
issn 1029-8479
language English
publishDate 2024-12-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-66e35daa67b64a2c9e5d0b55630808f22024-12-22T12:08:52ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241214110.1007/JHEP12(2024)079Constructing tree amplitudes of scalar EFT from double soft theoremKang Zhou0Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityAbstract 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.https://doi.org/10.1007/JHEP12(2024)079Scattering AmplitudesEffective Field Theories
spellingShingle Kang Zhou
Constructing tree amplitudes of scalar EFT from double soft theorem
Journal of High Energy Physics
Scattering Amplitudes
Effective Field Theories
title Constructing tree amplitudes of scalar EFT from double soft theorem
title_full Constructing tree amplitudes of scalar EFT from double soft theorem
title_fullStr Constructing tree amplitudes of scalar EFT from double soft theorem
title_full_unstemmed Constructing tree amplitudes of scalar EFT from double soft theorem
title_short Constructing tree amplitudes of scalar EFT from double soft theorem
title_sort constructing tree amplitudes of scalar eft from double soft theorem
topic Scattering Amplitudes
Effective Field Theories
url https://doi.org/10.1007/JHEP12(2024)079
work_keys_str_mv AT kangzhou constructingtreeamplitudesofscalareftfromdoublesofttheorem