Event Shapes in Deep Inelastic Lepton-Hadron Scattering (1980)

Appendix B

Three-jet Cross Sections

For the diagrams of fig. 5, one finds, using the kinematics defined in appendix A:

where is the `hadron tensor,' and the factors in parentheses are from color averaging. For the diagrams in fig. 6, one obtains (by crossing):

[ Figure 5 ] Feynman diagrams for

[ Figure 6 ] Feynman diagrams for

If one takes the -quark coupling to be , then all the results in eqs. (B.1) and (B.2) are multiplied by , and for the process of fig. 5

For colored scalar gluons, eq. (B.1) becomes