Factorization of the dijet cross section in electron-positron annihilation with jet algorithms

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 αs, 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.