Abstract
Antenna functions describe the infrared singular behaviour of colour-ordered QCD matrix elements due to the emission of unresolved partons inside an antenna formed by two hard partons. In this Letter, we show that antenna functions for hard gluon–gluon pairs can be systematically derived from the effective Lagrangian describing Higgs boson decay into gluons, and compute the infrared structure of the colour-ordered Higgs boson decay matrix elements at NLO and NNLO.
Highlights
Perturbative QCD corrections to exclusive jet observables are at present restricted to the next-to-leading order in perturbation theory, which is often insufficient to match the experimental precision on jet production reactions [1]
In this Letter, we show that antenna functions for hard gluon– gluon pairs can be systematically derived from the effective Lagrangian describing Higgs boson decay into gluons, and compute the infrared structure of the colour-ordered Higgs boson decay matrix elements at NLO and next-to-next-to-leading order (NNLO). 2005 Elsevier B.V
We will show which individual real radiation processes contribute to the Higgs boson decay in the effective theory at NLO and NNLO, and that the real radiation singularities arising at these orders precisely match the infrared singularity structure obtained from an infrared factorization formula [25], such that these Higgs boson decay matrix elements can be used to derive the gluon–gluon antenna functions at NNLO
Summary
Perturbative QCD corrections to exclusive jet observables are at present restricted to the next-to-leading order in perturbation theory, which is often insufficient to match the experimental precision on jet production reactions [1]. In [19], we described how the quark–gluon antenna functions could be derived from the purely QCD (i.e., non-supersymmetric) NLO and NNLO corrections to the decay of a heavy neutralino into a massless gluino plus partons. We will show which individual real radiation processes contribute to the Higgs boson decay in the effective theory at NLO and NNLO, and that the real radiation singularities arising at these orders precisely match the infrared singularity structure obtained from an infrared factorization formula [25], such that these Higgs boson decay matrix elements can be used to derive the gluon–gluon antenna functions at NNLO
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