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The Infrared Behavior of QCD Cross Sections at Next-to-Next-to-Leading Order

Zvi Bern·Vittorio Del Duca·William B. Kilgore·Carl R. Schmidt
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Abstract

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions, computed to all orders in the dimensional regularization parameter $ε$. We apply the one-loop gluon soft function to the calculation of the next-to-leading logarithmic corrections to the Lipatov vertex to all orders in $ε$.

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Zvi Bern, Vittorio Del Duca, William B. Kilgore, Carl R. Schmidt. 1999-03-30. The Infrared Behavior of QCD Cross Sections at Next-to-Next-to-Leading Order. https://arxiv.org/abs/hep-ph/9903525

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