We analyze the effects of jet algorithms on each factorized part of the dijet cross sections in $e^{+}{e}^{-}$ annihilation using the soft-collinear effective theory. The jet function and the soft function with a cone-type jet algorithm and the Sterman-Weinberg jet algorithm are computed to next-to-leading order in ${\alpha }_s$, and are shown to be infrared finite using pure dimensional regularization. The integrated and unintegrated jet functions are presented, and compared with other types of jet functions.

• Received 5 May 2015

DOI:https://doi.org/10.1103/PhysRevD.92.034012