Feynman rules for the rational part of the QCD 1-loop amplitudes

By P. Draggiotis, Maria Vittoria Garzelli, C. G. Papadopoulos, R. Pittau. 2009

142 citations recorded by the source corpus.

We compute the complete set of Feynman Rules producing the Rational Terms of kind R2 needed to perform any QCD 1-loop calculation. We also explicitly check that in order to account for the entire R2 contribution, even in case of processes with more than four external legs, only up to four-point vertices are needed. Our results are expressed both in the 't Hooft Veltman regularization scheme and in the Four Dimensional Helicity scheme, using explicit color configurations as well as the color connection language.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/b421a5320a524546525b8dc65a505d3846a5f431

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Citations in the corpus

FeynRules 2.0 - A complete toolbox for tree-level phenomenology (2013, background): “Furthermore, depending on the underlying algorithm to construct the one-loop matrix element, additional tree-level-like vertices need to be included to reproduce the correct rational terms in the one-loop amplitude [66–69].”
Electroweak radiative corrections for collider physics (2019, methodology): “EW and QCD corrections to Z and W pole observables within SMEFT were computed in Ref.”
NLO electroweak automation and precise predictions for W + multijet production at the LHC (2014, methodology): “Corresponding Feynman rules have been derived for QED in [90], for QCD in [93] and for the complete EW Standard Model in [94–97].”
MadGraph 5: going beyond (2011, background): “In addition, complicated interactions that feature non-factorizable colour and Lorentz structures, such as those showing up in the counterterms and R 2 vertices at NLO [68], which cannot be handled by MadGraph 4, are now fully supported.”
Automation of one-loop QCD computations (2011, unknown): “[36]).”
On-the-fly reduction of open loops (2017, unknown): “ contribution of the diagrams (58) to the scattering probability (1) reads W 1−loop = Re ˆZ dDq¯ V(Ω N,q,0) D¯ 0 ···D¯ N−1 ˙ = = Re ( XR r=0 V µ 1...µ r (Ω N,0) Z dDq¯ qµ 1 ···qµ r D¯ 0 ···D¯ N−1 ) . (60) In OpenLoops1, the calculation of the coeﬃcients (59) is entirely based on the open-loop approa”
Complete off-shell effects in top quark pair hadroproduction with leptonic decay at next-to-leading order (2010, methodology): “The rational term R1 of the amplitude is computed by the CutTools code as well, whereas the R2 term, by the use of extra Feynman rules as described in [56, 57].”
Standard Model Higgs boson production in association with a top anti-top pair at NLO with parton showering (2011, methodology): “• HELAC-Oneloop was also used for computing the finite part of the virtual correction contributions in dimensional regularization, on the basis of the OPP method [17] complemented by Feynman Rules for the computation of the QCD R2 Rational terms [18].”