Bootstrapping multiparton loop amplitudes in QCD

By Z. Bern, L. Dixon, David A. Kosower. 2005

156 citations recorded by the source corpus.

The authors present a new method for computing complete one-loop amplitudes, including their rational parts, in non-supersymmetric gauge theory. This method merges the unitarity method with on-shell recursion relations. It systematizes a unitarity-factorization bootstrap approach previously applied by the authors to the one-loop amplitudes required for next-to-leading order QCD corrections to the processes e{sup +}e{sup -} {yields} Z, {gamma}* {yields} 4 jets and pp {yields} W + 2 jets. We illustrate the method by reproducing the one-loop color-ordered five-gluon helicity amplitudes in QCD that interfere with the tree amplitude, namely A{sub 5;1}(1{sup -}, 2{sup -}, 3{sup +}, 4{sup +}, 5{sup +}) and A{sub 5;1}(1{sup -}, 2{sup +}, 3{sup -}, 4{sup +}, 5{sup +}). Then we describe the construction of the six- and seven-gluon amplitudes with two adjacent negative-helicity gluons, A{sub 6;1}(1{sup -}, 2{sup -}, 3{sup +}, 4{sup +}, 5{sup +}, 6{sup +}) and A{sub 7;1}(1{sup -}, 2{sup -}, 3{sup +}, 4{sup +}, 5{sup +}, 6{sup +}, 7{sup +}), which uses the previously-computed logarithmic parts of the amplitudes as input. They present a compact expression for the six-gluon amplitude. No loop integrals are required to obtain the rational parts.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/9ef721ab5839ecee435d795db61f6631f3d4da10

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Citations in the corpus

A direct proof of the CSW rules (2005, methodology): “ of BCFW recursion have been applied and extended with great success to both tree-level calculations in Yang–Mills and other theories [41, 42, 43, 44, 45, 46, 47, 48] as well as one-loop calculations [49, 50, 51, 52], and, in some of these cases, been merged with technology such as unitarity methods”
Electroweak radiative corrections for collider physics (2019, methodology): “An early method [246] relies on OS recursion relations and a unitarity-factorization bootstrap [247].”
Full one-loop amplitudes from tree amplitudes (2008, methodology): “The so-called bootstrap method sets up a recursive computation of rational parts [30, 31] similar to tree-level unitarity-based recursion relations [10].”
Cut-constructible part of QCD amplitudes (2006, methodology): “be later achieved by implementing the recursive technique introduced in [ 13 ,14,15].”
Taming tree amplitudes in general relativity (2007, methodology): “ng similar relations in any theory where physical singularities are well understood. 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]. The possibilit”