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Geometric soft theorems

delete2022-04-04
delete34
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OA
AI
C
Cheung, Clifford
A
Andreas Helset *
J
Julio Parra-Martinez
DOI:10.1007/JHEP04(2022)011delete
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摘要

摘要

En 中文
We derive a universal soft theorem for every scattering amplitude with at least one massless particle in an arbitrary theory of scalars. Our results follow from the geometry of field space and are valid for any choice of mass spectrum, potential terms, and higher-derivative interactions. For a vanishing potential, the soft limit of every amplitude is equal to the field-space covariant derivative of an amplitude with one fewer particle. Furthermore, the Adler zero and the dilaton soft theorem are special cases of our results. We also discuss more exotic scenarios in which the soft limit is non-trivial but still universal. Last but not least, we derive new theorems for multiple-soft limits which directly probe the field-space curvature, as well as on-shell recursion relations applicable to two-derivative scalar field theories exhibiting no symmetries whatsoever.
Keyword:
Effective Field Theories
Scattering Amplitudes
Differential and Algebraic Geometry
Sigma Models

期刊

Journal of High Energy Physics 封面图
Journal of High Energy Physics
IF:
5.5
论文数:
3.9W
被引数:
13.7W

机构

C
California Institute of Technology
学者数:
2.9W
论文数: 2.5W
被引数: 4.9W
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