Infrared finiteness in the factorization of the dijet cross section in hadron-hadron collision near threshold

27 Jul 2016  ·  Chay Junegone, Ha Taewook, Kim Inchol ·

The factorization theorem for the dijet cross section is considered in hadron-hadron collisions near threshold with a cone-type jet algorithm. We focus on the infrared finiteness of the factorized parts by carefully distinguishing the ultraviolet and infrared divergences in dimensional regularization... The soft function, subject to a jet algorithm, shows a complicated divergence structure. It is shown that the soft function becomes infrared finite only after the emission in the beam directions is included. Among many partonic processes, we take $q\overline{q} \rightarrow gg$ as a specific example to consider the dijet cross section, and verify explicitly that each factorized part is infrared finite. We also compute the anomalous dimensions of the factorized components to next-to-leading logarithmic accuracy. The hard and the soft functions have nontrivial color structure, while the jet and the collinear distribution functions are diagonal in color space. The dependence of the soft anomalous dimension on the jet algorithm is color diagonal and is cancelled by that of the jet functions. The sum of the remaining anomalous dimensions also cancels, thus the dijet cross section is independent of the renormalization scale. read more

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High Energy Physics - Phenomenology