One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts

By R. Ellis, Z. Kunszt, K. Melnikov, G. Zanderighi. 2011

260 citations recorded by the source corpus.

The success of the experimental program at the Tevatron re-inforced the idea that precision physics at hadron colliders is desirable and, indeed, possible. The Tevatron data strongly suggests that one-loop computations in QCD describe hard scattering well. Extrapolating this observation to the LHC, we conclude that knowledge of many short-distance processes at next-to-leading order may be required to describe the physics of hard scattering. While the field of one-loop computations is quite mature, parton multiplicities in hard LHC events are so high that traditional computational techniques become inefficient. Recently new approaches based on unitarity have been developed for calculating one-loop scattering amplitudes in quantum field theory. These methods are especially suitable for the description of multi-particle processes in QCD and are amenable to numerical implementations. We present a systematic pedagogical description of both conceptual and technical aspects of the new methods.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f047775e2d736455c6b3ab8ac78d9b7a443c73f6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

Citations in the corpus

A brief introduction to modern amplitude methods (2013, unknown): “For more details on this method, see the review [13].”
On-shell techniques and universal results in quantum gravity (2013, unknown): “[1, 2]).”
Color-kinematics duality for QCD amplitudes (2015, background): “3 In a similar but much more cumbersome way, the color content of amplitudes with k quark-antiquark pairs and (n− 2k) gluons can be reduced [36, 60–67] to color structures of the following type: 1 N c ( T a2k+1 .”
NLO electroweak automation and precise predictions for W + multijet production at the LHC (2014, methodology): “More recently, the advent of on-shell methods [18, 19] lead to the completion of NLO QCD calculations for W+ multijet production with three [20–23], four [24], and even five [25] associated jets.”
Cuts of Feynman Integrals in Baikov representation (2017, methodology): “In the last years our understanding of the reduction of one-loop amplitudes to a set of Master Integrals (MI), a minimal set of FI that form a basis, either based on unitarity methods [9, 10, 11] or at the integrand level via the OPP method [12, 13], has drastically changed the way one-loop calculat”
Decomposition of Feynman integrals on the maximal cut by intersection numbers (2019, background): “[118, 119], the review [120], and the references therein).”
Les Houches 2015: Physics at TeV Colliders Standard Model Working Group Report (2016, background): “Further information can be found in the review article [52] and references therein.”
Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, background): “Further information can be found in the review article [97] and references therein.”