PoS - Proceedings of Science
Volume 430 - The 39th International Symposium on Lattice Field Theory (LATTICE2022) - Theoretical Developments
General kinematics three-gluon vertex in Landau-gauge from quenched-lattice QCD
F. Pinto Gómez*, F. De Soto, M.N. Ferreira, J. Papavassiliou, J. Rodriguez-Quintero and  HSV Collaboration
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Pre-published on: January 27, 2023
Published on: April 06, 2023
We present new results for the transversely projected three-gluon vertex from quenched lattice QCD simulations using standard Wilson action.
While previous works focused in some particular kinematics such as the symmetric $(q^2 = r^2 = p^2)$ and soft-gluon $(p = 0)$ cases, here we
will present a detailed analysis of the bisectoral case $(r^2 = q^2 \ne p^2)$ where the transversely projected vertex can be cast in terms of three independent tensors.
The lattice data show a clear dominance of the form-factor corresponding to the tree-level tensor, whose dependence on the momenta can be almost entirely expressed in terms of the symmetric combination of the momenta $s^2=(q^2+r^2+p^2)/2$.
DOI: https://doi.org/10.22323/1.430.0382
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