Non-MHV Tree Amplitudes in Gauge Theory

By George M. Georgiou, E. Glover, V. Khoze. 2004

184 citations recorded by the source corpus.

We show how all non-MHV tree-level amplitudes in 0 ? ? 4 gauge theories can be obtained directly from the known MHV amplitudes using the scalar graph approach of Cachazo, Svrcek and Witten. Generic amplitudes are given by sums of inequivalent scalar diagrams with MHV vertices. The novel feature of our method is that after the `Feynman rules' for scalar diagrams are used, together with a particular choice of the reference spinor, no further helicity-spinor algebra is required to convert the results into a numerically usable form. Expressions for all relevant individual diagrams are free of singularities at generic phase space points, and amplitudes are manifestly Lorentz- (and gauge-) invariant. To illustrate the method, we derive expressions for n-point amplitudes with three negative helicities carried by fermions and/or gluons. We also write down a supersymmetric expression based on Nair's supervertex which gives rise to all such amplitudes in 0 ? ? 4 gauge theories.

Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/6facaf2d2c91595061846005b698c6aa9922d3fb

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

In Nuclear and High Energy Physics

Citations in the corpus

Non-supersymmetric loop amplitudes and MHV vertices (2004, background): “For further related work on the string theory side, and on the gauge theory side, see [22]–[27] and [28]–[34] respectively.”
A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix (2008, background): “Indeed, the corresponding diagrams are the super MHV diagrams considered in Section 5 of [27].”
One-loop amplitudes of gluons in supersymmetric QCD (2005, methodology): “Two recent techniques allow the calculation of those amplitudes: MHV diagrams [42,43,44,45] and recursion relations [28,29].”
Bootstrapping an NMHV amplitude through three loops (2014, methodology): “An on-shell superspace [12, 33–35] is used to organize the external states into N = 4 supermultiplets, and the amplitudes into super-amplitudes.”
A recursion relation for gravity amplitudes (2005, unknown): “A calculation similar to that illustrated previously for the four-point case leads to the result M(1, 2, 3, 4, 5) = 〈12〉(6)[15][34] 〈15〉〈23〉〈24〉〈34〉〈35〉〈45〉 + P(3, 4, 5) , (3.”
A direct proof of the CSW rules (2005, methodology): “The CSW conjecture has led to several developments in tree-level calculations [4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18], and it was also used for some one-loop calculations in an approach developed by Brandhuber, Spence and Travaglini [19, 20, 21, 22].”