Recursion in multiplet bases for tree-level MHV gluon amplitudes

@article{Du2015RecursionIM,
  title={Recursion in multiplet bases for tree-level MHV gluon amplitudes},
  author={Yi-jian Du and Malin Sj{\"o}dahl and Johan Thor{\'e}n},
  journal={Journal of High Energy Physics},
  year={2015},
  volume={2015},
  pages={1-34}
}
A bstractWe investigate the construction of tree-level MHV gluon amplitudes in multiplet bases using BCFW recursion. The multiplet basis decomposition can either be obtained by decomposing results derived in (for example) the DDM basis or by formulating the recursion directly in the multiplet basis. We focus on the latter approach and show how to efficiently deal with the color structure appearing in the recursion. For illustration, we also explicitly calculate the four-, five- and six-gluon… 

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References

SHOWING 1-10 OF 75 REFERENCES
Decomposing color structure into multiplet bases
A bstractWe illustrate how QCD color structure elegantly can be decomposed into orthogonal multiplet bases corresponding to irreducible representations of SU(Nc) with the aid of Wigner 3j and 6j
Color-dressed recursive relations for multi-parton amplitudes
Remarkable progress inspired by twistors has lead to very simple analytic expressions and to new recursive relations for multi-parton color-ordered amplitudes. We show how such relations can be
Color structure for soft gluon resummation - a general recipe
A strategy for calculating the color structure needed for soft gluon resummation for processes with any number of colored partons is introduced using a Nc → ∞ inspired basis. In this basis a general
Color structures and permutations
A bstractColor structures for tree level scattering amplitudes in gauge theory are studied in order to determine the symmetry properties of the color-ordered sub-amplitudes. We mathematically
Improved analytic techniques for the tree graph calculations and the ggq anti ql anti l subprocess
We demonstrate further improvements in the CALCUL approach to tree graph calculations. We employ polarization vectors referenced to a single momentum and obtain expressions in terms of spinor inner
New color decompositions for gauge amplitudes at tree and loop level
Recently, a color decomposition using structure constants was introduced for purely gluonic tree amplitudes, in a compact form involving only the linearly independent subamplitudes. We give two
MHV vertices and tree amplitudes in gauge theory
As an alternative to the usual Feynman graphs, tree amplitudes in Yang-Mills theory can be constructed from tree graphs in which the vertices are tree level MHV scattering amplitudes, continued off
Improved analytic techniques for tree graph calculations and the ggqqℓℓ subprocess
Abstract We demonstrate further improvements in the CALCUL approach to tree graph calculations. We employ polarization vectors referenced to a single momentum and obtain expressions in terms of
Orthogonal multiplet bases in SU(Nc) color space
A bstractWe develop a general recipe for constructing orthogonal bases for the calculation of color structures appearing in QCD for any number of partons and arbitrary Nc. The bases are constructed
Recursive calculations for processes with n gluons
Abstract A method is presented in which multigluon processes are calculated recursively. The technique is explicitly developed for processes where only gluons are produced and processes where in
...
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2
3
4
5
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