Bootstrapping One-Loop QCD Amplitudes with General Helicities

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dc.creatorBerger, Carola F.
dc.creatorBern, Zvi
dc.creatorDixon, Lance J.
dc.creatorForde, Darren
dc.creatorKosower, David A.
dc.date2006-04-22
dc.date2006-08-31
dc.date.accessioned2026-07-07T11:26:55Z
dc.date.available2026-07-07T11:26:55Z
dc.descriptionThe recently developed on-shell bootstrap for computing one-loop amplitudes in non-supersymmetric theories such as QCD combines the unitarity method with loop-level on-shell recursion. For generic helicity configurations, the recursion relations may involve undetermined contributions from non-standard complex singularities or from large values of the shift parameter. Here we develop a strategy for sidestepping difficulties through use of pairs of recursion relations. To illustrate the strategy, we present sets of recursion relations needed for obtaining n-gluon amplitudes in QCD. We give a recursive solution for the one-loop n-gluon QCD amplitudes with three or four color-adjacent gluons of negative helicity and the remaining ones of positive helicity. We provide an explicit analytic formula for the QCD amplitude A_{6;1}(1^-,2^-,3^-,4^+,5^+,6^+), as well as numerical results for A_{7;1}(1^-,2^-,3^-,4^+,5^+,6^+,7^+), A_{8;1}(1^-,2^-,3^-,4^+,5^+,6^+,7^+,8^+), and A_{8;1}(1^-,2^-,3^-,4^-,5^+,6^+,7^+,8^+). We expect the on-shell bootstrap approach to have widespread applications to phenomenological studies at colliders.
dc.description77 pages, 17 figures; v2, corrected minor typos in text and small equations
dc.identifierhttps://arxiv.org/abs/hep-ph/0604195
dc.identifierhttp://arxiv.org/abs/hep-ph/0604195
dc.identifierPhys.Rev.D74:036009,2006
dc.identifierdoi:10.1103/PhysRevD.74.036009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/195987
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Theory
dc.titleBootstrapping One-Loop QCD Amplitudes with General Helicities
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