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.
Physical Review D
- Pub Date:
- July 2014
- General properties of perturbation theory;
- Analytic properties of S matrix;
- High Energy Physics - Theory
- 23 page, 6 figures, REVTex, ancillary Mathematica file containing four-point one-loop BCJ numerators