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

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.

Erratum: Three-gluon vertex in arbitrary gauge and dimension [Phys. Rev. D54, 4087 (1996)]

“…(24)-(25). The functions G j defined in [14] are proportional to our functions Z ijk (see Appendix A) which can be represented as linear combinations of the scalar functions (2.4), including those with permuted arguments. To get renormalized results, the counterterm (3.38) was added to all A functions.…”

“…(29) of [14], and the functions U i are proportional to the functions F j used in [14] (we have different numbering, see in Appendix F).…”

“…(3.3), no quarks special case of CG [11] special case of BF [14] NPS [15], App. B Arbitrary covariant gauge CG [11], eq.…”

“…B Arbitrary covariant gauge CG [11], eq. (14) BF [14], eq. (25), no quarks, no finite parts BF [14], eq.…”

“…(14) BF [14], eq. (25), no quarks, no finite parts BF [14], eq. (30), no quarks, no finite parts Table 1: Kinematics and gauges considered in other studies…”