Infrared behavior of three- and four-gluon vertices in Yang-Mills theory

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Abstract
We study in a general covariant gauge the structure of the three-point function with one and two external gluons on-shell. The contributions which result in the one-loop approximation are expressed in terms of simple functions containing collinear and soft singularities. Furthermore, we analyze the contributions associated with the four-point vertex when all external gluons are on-shell. As an application of these results, we study the infrared structure of the gluon-gluon scattering amplitude.