Abstract
We find that unitarity cuts and the duality between color and kinematics are sufficient constraints to bootstrap D-dimensional QCD scattering amplitudes starting from three-particle tree-level. Specifically, we calculate tree level amplitudes through six-points, as well as the four-point one-loop correction for massive fermions in the fundamental representation of the gauge group — constructing a color-dual representation of the latter for the first time. To do so we clarify a prescription for functional kinematic ansatze involving fermionic matter. The advantages of color-dual calculation, familiar from particles in the adjoint, also apply here: only a small number of basis topologies must be constrained via physical information of the theory, and algebraic relations propagate this to a full solution. As all the QCD amplitudes we construct here are color-dual, they trivially generate D-dimensional amplitudes in gravitational theories via double-copy construction.
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Acknowledgments
We would like to thank Alex Edison, Henrik Johansson, James Mangan, Nicolas Pavao, Radu Roiban, Bogdan Stoica, and Suna Zekioglu for helpful discussions, related collaboration, and encouragement along various stages of this project, including detailed feedback and helpful comments on earlier drafts of this paper. This work was supported by the DOE under contract DE-SC0015910 and by the Alfred P. Sloan Foundation. A.S. acknowledges the Northwestern University Amplitudes and Insight group, the Department of Physics and Astronomy, and Weinberg College for support.
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Carrasco, J.J., Seifi, A. Loop-level double-copy for massive fermions in the fundamental. J. High Energ. Phys. 2023, 217 (2023). https://doi.org/10.1007/JHEP05(2023)217
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DOI: https://doi.org/10.1007/JHEP05(2023)217