General kinematics of the three-gluon vertex from quenched lattice QCD

Abstract

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 $s^2=(q^2+r^2+p^2)/2$.

Comments: 9 pages, 4 figures, contribution to the 39th International Symposium on Lattice Field Theory, 8th-13th of August 2022, Bonn, Germany