Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter

@article{Nohle2014ColorKinematicsDI,
  title={Color-Kinematics Duality in One-Loop Four-Gluon Amplitudes with Matter},
  author={Josh Nohle},
  journal={Physical Review D},
  year={2014},
  volume={90},
  pages={025020}
}
  • Josh Nohle
  • Published 28 September 2013
  • Physics
  • Physical Review D
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… 

Figures and Tables from this paper

String-motivated one-loop amplitudes in gauge theories with half-maximal supersymmetry
A bstractWe compute one-loop amplitudes in six-dimensional Yang-Mills theory with half-maximal supersymmetry from first principles: imposing gauge invariance and locality on an ansatz made from
Pure gravities via color-kinematics duality for fundamental matter
A bstractWe give a prescription for the computation of loop-level scattering amplitudes in pure Einstein gravity, and four-dimensional pure supergravities, using the color-kinematics duality.
String-inspired BCJ numerators for one-loop MHV amplitudes
A bstractWe find simple expressions for the kinematic numerators of one-loop MHV amplitudes in maximally supersymmetric Yang-Mills theory and supergravity, at any multiplicity. The gauge-theory
Color-factor symmetry and BCJ relations for QCD amplitudes
A bstractTree-level n-point gauge-theory amplitudes with n − 2k gluons and k pairs of (massless or massive) particles in the fundamental (or other) representation of the gauge group are invariant
Conformal Gravity from Gauge Theory
We use the duality between color and kinematics to obtain scattering amplitudes in non-minimal conformal N=0,1,2,4 (super)gravity theories. Generic tree amplitudes can be constructed from a double
Towards one‐loop SYM amplitudes from the pure spinor BRST cohomology
In this paper, we outline a method to compute supersymmetric one‐loop integrands in ten‐dimensional SYM theory. It relies on the constructive interplay between their cubic‐graph organization and BRST
Color-kinematics duality for QCD amplitudes
A bstractWe show that color-kinematics duality is present in tree-level amplitudes of quantum chromodynamics with massive flavored quarks. Starting with the color structure of QCD, we work out a new
Off-shell color-kinematics duality for Chern-Simons
Abstract Many gauge theories possess a hidden duality between color and kinematics in their on-shell scattering amplitudes. An open problem is to formulate an off-shell realization of the duality,
Two-loop N = 2 SQCD amplitudes with external matter from iterated cuts
We develop an iterative method for constructing four-dimensional generalized unitarity cuts in N=2 supersymmetric Yang-Mills (SYM) theory coupled to fundamental matter hypermultiplets (N=2 SQCD). For
A new gauge-invariant double copy for heavy-mass effective theory
Abstract We propose a new form of the colour-kinematics/double-copy duality for heavy-mass effective field theories, which we apply to construct compact expressions for tree amplitudes with heavy
...
...