Bootstrapping one-loop QCD amplitudes with general helicities
By C. Berger, Z. Bern, L. Dixon, D. Forde, David A. Kosower. 2006
135 citations recorded by the source corpus.
The 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{sub 6;1}(1{sup -}, 2{sup -}, 3{sup -}, 4{sup +}, 5{sup +}, 6{sup +}), as well as numerical results for A{sub 7;1}(1{sup -}, 2{sup -}, 3{sup -}, 4{sup +}, 5{sup +}, 6{sup +}, 7{sup +}), A{sub 8;1}(1{sup -}, 2{sup -}, 3{sup -}, 4{sup +}, 5{sup +}, 6{sup +}, 7{sup +}, 8{sup +}), and A{sub 8;1}(1{sup -}, 2{sup -}, 3{sup -}, 4{sup -}, 5{sup +}, 6{sup +}, 7{sup +}, 8{sup +}). We expect the on-shell bootstrap approach to have widespread applications to phenomenological studies at colliders.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/1026a356f689caf6d0f06ca58ae4d3a4c3c432d7
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In Nuclear and High Energy Physics
- R. Ellis
- K. Melnikov
- Z. Kunszt
- Gudrun Heinrich
- Paolo Benincasa
- G. Zanderighi
- Pierpaolo Mastrolia
- Cms Collaboration
Citations in the corpus
- Taming tree amplitudes in general relativity (2007, methodology): “The BCFW method has been successfully applied in many contexts involving massless particles at tree and loop level [12, 13, 14, 15, 16, 17, 18, 19] as well as for massive particles at tree level [20].”
- Direct extraction of one loop rational terms (2008, unknown): “On-shell recursive techniques at tree-level [8, 9] use basic complex analysis and universal factorisation properties to write simple relations between on-shell amplitudes.”
- One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts (2011, methodology): “Finally we note that yet another unitarity-based method for the calculation of the rational part has been developed [79, 80].”