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The kT Dijet Rate in SCET with a Rapidity Regulator

We study the kT jet algorithm using effective field theory techniques. Regularizing the virtualities and rapidities of graphs in the soft-collinear effective theory (SCET), we are able to write the next- to-leading-order cross section as the product of separate hard, jet, and soft functions. We show how to reproduce the Sudakov form factor previously obtained using perturbative QCD methods to next- to-leading logarithmic accuracy. Our result only depends on the renormalization group evolution of the hard function, rather than on that of the hard and jet functions as is usual in SCET. We comment that regularizing rapidities is not necessary in this case.