Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions

Abstract In our recent works, a new approach for constructing tree amplitudes, based on exploiting soft behaviors, was proposed. In this paper, we extend this approach to effective theories for gluons which incorporate higher-derivative interactions. By applying our method, we construct tree Yang-Mi...

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Main Authors: Kang Zhou, Chang Hu
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP01(2025)167
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author Kang Zhou
Chang Hu
author_facet Kang Zhou
Chang Hu
author_sort Kang Zhou
collection DOAJ
description Abstract In our recent works, a new approach for constructing tree amplitudes, based on exploiting soft behaviors, was proposed. In this paper, we extend this approach to effective theories for gluons which incorporate higher-derivative interactions. By applying our method, we construct tree Yang-Mills (YM) and Yang-Mills-scalar (YMS) amplitudes with the single insertion of F 3 local operator, as well as the YM amplitudes those receive contributions from both F 3 and F 4 operators, for arbitrary number of external particles. All results are represented as universal expansions to appropriate basis. We also conjecture a compact general formula for tree YM amplitudes with higher mass dimension, which allows us to generate them from ordinary YM amplitudes, and discuss the consistent factorizations of the conjectured formula.
format Article
id doaj-art-dd87f5ede575497fbab89fb00ae033bd
institution Kabale University
issn 1029-8479
language English
publishDate 2025-01-01
publisher SpringerOpen
record_format Article
series Journal of High Energy Physics
spelling doaj-art-dd87f5ede575497fbab89fb00ae033bd2025-02-09T12:06:55ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025114610.1007/JHEP01(2025)167Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactionsKang Zhou0Chang Hu1Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou UniversityCollege of Physics Science and Technology, Hebei UniversityAbstract In our recent works, a new approach for constructing tree amplitudes, based on exploiting soft behaviors, was proposed. In this paper, we extend this approach to effective theories for gluons which incorporate higher-derivative interactions. By applying our method, we construct tree Yang-Mills (YM) and Yang-Mills-scalar (YMS) amplitudes with the single insertion of F 3 local operator, as well as the YM amplitudes those receive contributions from both F 3 and F 4 operators, for arbitrary number of external particles. All results are represented as universal expansions to appropriate basis. We also conjecture a compact general formula for tree YM amplitudes with higher mass dimension, which allows us to generate them from ordinary YM amplitudes, and discuss the consistent factorizations of the conjectured formula.https://doi.org/10.1007/JHEP01(2025)167Scattering AmplitudesEffective Field Theories
spellingShingle Kang Zhou
Chang Hu
Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions
Journal of High Energy Physics
Scattering Amplitudes
Effective Field Theories
title Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions
title_full Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions
title_fullStr Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions
title_full_unstemmed Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions
title_short Towards tree Yang-Mills and Yang-Mills-scalar amplitudes with higher-derivative interactions
title_sort towards tree yang mills and yang mills scalar amplitudes with higher derivative interactions
topic Scattering Amplitudes
Effective Field Theories
url https://doi.org/10.1007/JHEP01(2025)167
work_keys_str_mv AT kangzhou towardstreeyangmillsandyangmillsscalaramplitudeswithhigherderivativeinteractions
AT changhu towardstreeyangmillsandyangmillsscalaramplitudeswithhigherderivativeinteractions