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@ARTICLE{Bonnefoy:594865,
      author       = {Bonnefoy and Durieux and Roosmale Nepveu, Jasper},
      title        = {{H}igher-derivative relations between scalars and gluons},
      reportid     = {PUBDB-2023-06005, arXiv:2310.13041. CERN-TH-2023-174.
                      IRMP-CP3-23-58. DESY-23-145. HU-EP-23/53-RTG},
      year         = {2023},
      note         = {28 pages, 1 appendix},
      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$(+\phi^3)$ theories which,
                      at low energies, generate infinite towers of operators
                      satisfying the traditional color-kinematics duality, beyond
                      aforementioned $F^3$ and $F^4$ ones.},
      keywords     = {derivative, high (INSPIRE) / energy, low (INSPIRE) /
                      space-time, dimension (INSPIRE) / gluon, coupling (INSPIRE)
                      / duality (INSPIRE) / effective field theory (INSPIRE) /
                      covariance (INSPIRE) / kinematics (INSPIRE) / tree
                      approximation (INSPIRE) / multiplicity (INSPIRE) /
                      Yang-Mills (INSPIRE) / field equations (INSPIRE) /
                      scattering amplitude (INSPIRE) / renormalizable (INSPIRE) /
                      flavor (INSPIRE) / structure (INSPIRE)},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {611 - Fundamental Particles and Forces (POF4-611) / GRK
                      2575 - GRK 2575: Überdenken der Quantenfeldtheorie
                      (417533893)},
      pid          = {G:(DE-HGF)POF4-611 / G:(GEPRIS)417533893},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25},
      eprint       = {2310.13041},
      howpublished = {arXiv:2310.13041},
      archivePrefix = {arXiv},
      SLACcitation = {$\%\%CITATION$ = $arXiv:2310.13041;\%\%$},
      doi          = {10.3204/PUBDB-2023-06005},
      url          = {https://bib-pubdb1.desy.de/record/594865},
}