Color-kinematics duality in one-loop four-gluon amplitudes with matter

Josh Nohle
Phys. Rev. D 90, 025020 – Published 16 July 2014
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Abstract

Four-point one-loop nonsupersymmetric pure Yang-Mills amplitudes with the duality between color and kinematics manifest have been constructed in previous work. Here, we extend the discussion to fermions and scalars circulating in the loop with all external gluons. This gives another nontrivial loop-level example showing that the duality between color and kinematics holds in nonsupersymmetric gauge theory. The construction is valid in any spacetime dimension and written in terms of formal polarization vectors. We also convert these expressions into a four-dimensional form with explicit external helicity states. Using this, we compare our results to one-loop duality-satisfying amplitudes that are already present in literature.

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  • Received 28 February 2014

DOI:https://doi.org/10.1103/PhysRevD.90.025020

© 2014 American Physical Society

Authors & Affiliations

Josh Nohle

  • Department of Physics and Astronomy, University of California at Los Angeles, Los Angeles, California 90095-1547, USA

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Issue

Vol. 90, Iss. 2 — 15 July 2014

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