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Infrared Safe but Infinite: Soft-Gluon Divergences Inside the Physical Region

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arxiv hep-ph/9710333 v1 pith:LQGEMIPI submitted 1997-10-13 hep-ph

Infrared Safe but Infinite: Soft-Gluon Divergences Inside the Physical Region

classification hep-ph
keywords infiniteinfraredinsideaccessibleaccordingcallcharacteristicclass
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that QCD observables defined as infrared- and collinear-safe, according to the usual Sterman-Weinberg criteria, can nevertheless be infinite at accessible points inside phase space, to any finite order of perturbation theory. Infrared finiteness is restored after resummation of divergent terms to all orders. The resulting characteristic structure, which we call a Sudakov shoulder, represents an interesting new class of QCD predictions.

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Cited by 1 Pith paper

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  1. Heavy Jet Mass in Hadronic Higgs Decays

    hep-ph 2026-07 conditional novelty 6.0

    Heavy jet mass in hadronic Higgs decays is predicted at N³LL′ (dijet) plus NNLL (Sudakov shoulder) plus NNLO, with new analytic trijet-region logarithms for H→gg and H→q̄q.