Journal Article

PUBDB-2024-05524

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Higher-derivative relations between scalars and gluons

Bonnefoy, Q. (Corresponding author)DESY* ; Durieux, G.DESY* ; Roosmale Nepveu, J.DESY*

2024
SISSA [Trieste]

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Please use a persistent id in citations: doi:10.1007/JHEP07(2024)206  doi:10.3204/PUBDB-2024-05524

Report No.: CERN-TH-2023-174; DESY-23-145; HU-EP-23/53-RTG; IRMP-CP3-23-58; arXiv:2310.13041

Abstract: We extend the covariant color-kinematics duality introduced by Cheung and Mangan to effective field theories. We focus in particular on relations between the effective field theories of gluons only and of gluons coupled to bi-adjoint scalars. Maps are established between their respective equations of motion and between their tree-level scattering amplitudes. An additional rule for the replacement of flavor structures by kinematic factors realizes the map between higher-derivative amplitudes. As an example of new relations, the pure-gluon amplitudes of mass dimension up to eight, featuring insertions of the F$^{3}$ and F$^{4}$ operators which satisfy the traditional color-kinematics duality, can be generated at all multiplicities from just renormalizable amplitudes of gluons and bi-adjoint scalars. We also obtain closed-form expressions for the kinematic numerators of the dimension-six gluon effective field theory, which are valid in D space-time dimensions. Finally, we find strong evidence that this extended covariant color-kinematics duality relates the (DF)$^{2}$+YM(+ϕ$^{3}$) theories which, at low energies, generate infinite towers of operators satisfying the traditional color-kinematics duality, beyond aforementioned F$^{3}$ and F$^{4}$ ones.

Keyword(s): derivative: high ; energy: low ; space-time: dimension ; gluon: coupling ; duality ; effective field theory ; covariance ; kinematics ; tree approximation ; multiplicity ; Yang-Mills ; field equations ; scattering amplitude ; renormalizable ; flavor ; Duality in Gauge Field Theories ; Effective Field Theories ; Scattering Amplitudes

Note: 28 pages, 1 appendix

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. GRK 2575 - GRK 2575: Überdenken der Quantenfeldtheorie (417533893) (417533893)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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Database coverage:
; ; ; ; ; Clarivate Analytics Master Journal List ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; Ebsco Academic Search ; Essential Science Indicators ; IF >= 5 ; JCR ; National-Konsortium ; SCOAP3 sponsored Journal ; SCOPUS ; Science Citation Index Expanded ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint Bonnefoy ; Durieux ; Roosmale Nepveu, J. (Corresponding author)DESY*
Higher-derivative relations between scalars and gluons
[10.3204/PUBDB-2023-06005]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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