The six-gluon process as an example of Weyl-van der Waerden spinor calculus

Berends, F.A.; Giele, W.T.

doi:10.1016/0550-3213(87)90604-3

Cited by 346 publications

(333 citation statements)

References 19 publications

Supporting

Mentioning

331

Contrasting

Order By: Relevance

“…In the above the individual tree amplitudes are evaluated at the shifted momentum values. In particular the trees depend upon the shifted, on-shell, momentaP α, (1) . We consider a single term in the summation corresponding to a specific pole, 12) and evaluate this by determining the poles in D α (z 2 ) under the shift,…”

Section: Mhv-vertex Expansion For N 2 Mhv Amplitudesmentioning

confidence: 99%

“…The contribution of a given diagram to the total amplitude can be calculated by evaluating the product of MHV amplitudes and propagators, 1) where the propagators are computed on the set of momenta k i and p j , and the MHV vertices are evaluated for the momentak i andp j . The definitions of these momenta are given below.…”

Section: General Csw Rulesmentioning

confidence: 99%

“…We first apply a holomorphic shift similar to the one discussed in [22] for gauge theory,λ 10) where the r (1) i are restricted by momentum conservation and are all non-zero. This shift of all negative helicity legs in M N 2 MHV allows us to factorise the full amplitude as,…”

Section: Mhv-vertex Expansion For N 2 Mhv Amplitudesmentioning

confidence: 99%

“…If legs j and k have negative helicity, the colour-ordered [1] partial amplitude takes the form [2], A tree n (1 + , . .…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

MHV-vertices for gravity amplitudes

Bjerrum-Bohr¹,

Dunbar²,

Ita³

et al. 2006

J. High Energy Phys.

140

View full text Add to dashboard Cite

show abstract

Section: Mhv-vertex Expansion For N 2 Mhv Amplitudesmentioning

confidence: 99%

Section: General Csw Rulesmentioning

confidence: 99%

Section: Mhv-vertex Expansion For N 2 Mhv Amplitudesmentioning

confidence: 99%

“…If legs j and k have negative helicity, the colour-ordered [1] partial amplitude takes the form [2], A tree n (1 + , . .…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

MHV-vertices for gravity amplitudes

Bjerrum-Bohr¹,

Dunbar²,

Ita³

et al. 2006

J. High Energy Phys.

140

View full text Add to dashboard Cite

show abstract

“…We present the construction of polarization states and spinors in higher dimensions. We explain how tree-level amplitudes can be computed using recursive Berends-Giele relations [28] and present examples of the recursive equations for amplitudes with up to four fermions and an arbitrary number of gluons. We also show how Britto-Cachazo-FengWitten (BCFW) relations between scattering amplitudes can be proven using Berends-Giele recursions, and that the BCFW relation is independent of the number of dimensions.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2012

View full text Add to dashboard Cite

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 oneloop 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.

show abstract