Journal of High Energy Physics

, 2018:11 | Cite as

All rational one-loop Einstein-Yang-Mills amplitudes at four points

  • Dhritiman NandanEmail author
  • Jan Plefka
  • Gabriele Travaglini
Open Access
Regular Article - Theoretical Physics


All four-point mixed gluon-graviton amplitudes in pure Einstein-Yang-Mills theory with at most one state of negative helicity are computed at one-loop order and maximal powers of the gauge coupling, using D-dimensional generalized unitarity. The resulting purely rational expressions take very compact forms. We comment on the color-kinematics duality and a relation to collinear limits of pure gluon amplitudes.


Scattering Amplitudes Effective Field Theories Supergravity Models Supersymmetric Gauge Theory 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Dhritiman Nandan
    • 1
    Email author
  • Jan Plefka
    • 2
    • 3
  • Gabriele Travaglini
    • 4
  1. 1.Higgs Centre for Theoretical Physics, School of Physics and AstronomyThe University of EdinburghEdinburghUnited Kingdom
  2. 2.Institut für Physik und IRIS AdlershofHumboldt-Universität zu BerlinBerlinGermany
  3. 3.Theoretical Physics DepartmentCERNGeneva 23Switzerland
  4. 4.Centre for Research in String Theory, School of Physics and AstronomyQueen Mary University of LondonLondonUnited Kingdom

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