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High Energy Physics - Theory

arXiv:2111.10525 (hep-th)
[Submitted on 20 Nov 2021 (v1), last revised 13 Apr 2022 (this version, v2)]

Title:Universal expansions of scattering amplitudes for gravitons, gluons and Goldstone particles

Authors:Jin Dong, Song He, Linghui Hou
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Abstract:Tree-level scattering amplitudes for gravitons, gluons and Goldstone particles in any dimensions are strongly constrained by basic principles, and they are intimately related to each other via various relations. We study two types of "universal expansions" with respect to gauge bosons and Goldstone bosons: the former express tree amplitudes in Einstein gravity (Yang-Mills) as linear combinations of single-trace Einstein-Yang-Mills (Yang-Mills-$\phi^3$) amplitudes with coefficients given by Lorentz products of polarizations and momenta; the latter express tree amplitudes in non-linear sigma model, (Dirac-)Born-Infeld and a special Galileon theory, as linear combinations of single-trace mixed amplitudes with particles of lower "degree of Adler's zero" and coefficients given by products of Mandelstam variables. We trace the origin of gauge-theory expansions to the powerful uniqueness theorem based on gauge invariance, and expansions in effective field theories can be derived from gauge-theory ones via a special dimension reduction.
Comments: 8 pages, 1 figure
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2111.10525 [hep-th]
  (or arXiv:2111.10525v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2111.10525
Related DOI: https://doi.org/10.1103/PhysRevD.105.105007

Submission history

From: Linghui Hou [view email]
[v1] Sat, 20 Nov 2021 06:40:31 UTC (24 KB)
[v2] Wed, 13 Apr 2022 02:28:28 UTC (24 KB)
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