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NNLO hard functions in massless QCD

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arxiv 1409.5294 v1 pith:P3A6Q3TA submitted 2014-09-18 hep-ph

classification hep-ph
keywords functionshardprocessesmasslessnnloamplitudesanalyticcarrying
verification ladder T0 review T1 audit T2 compute T3 formal

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We derive the hard functions for all 2->2 processes in massless QCD up to next-to-next-to-leading order (NNLO) in the strong coupling constant. By employing the known one- and two-loop helicity amplitudes for these processes, we obtain analytic expressions for the ultraviolet and infrared finite, minimally subtracted hard functions, which are matrices in color space. These hard functions will be useful in carrying out higher-order resummations in processes such as dijet and highly energetic top-quark pair production by means of soft-collinear effective theory methods.

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  1. Super-Leading Logarithms in $pp\to2$ Jets

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Super-leading logarithms contribute about 13 percent to the LHC pp to 2 jets gap-between-jets cross section at Q0 = 10 GeV, and a q qbar interference term is only 1/Nc suppressed.

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