All tree-level amplitudes in massless QCD
Oct, 2010
40 pages
Published in:
- JHEP 01 (2011) 035
e-Print:
- 1010.3991 [hep-ph]
Report number:
- CERN-PH-TH-2010-230,
- SLAC-PUB-14278,
- HU-EP-10-57
Citations per year
Abstract: (arXiv)
We derive compact analytical formulae for all tree-level color-ordered gauge theory amplitudes involving any number of external gluons and up to three massless quark-anti-quark pairs. A general formula is presented based on the combinatorics of paths along a rooted tree and associated determinants. Explicit expressions are displayed for the next-to-maximally helicity violating (NMHV) and next-to-next-to-maximally helicity violating (NNMHV) gauge theory amplitudes. Our results are obtained by projecting the previously-found expressions for the super-amplitudes of the maximally supersymmetric Yang-Mills theory (N=4 SYM) onto the relevant components yielding all gluon-gluino tree amplitudes in N=4 SYM. We show how these results carry over to the corresponding QCD amplitudes, including massless quarks of different flavors as well as a single electroweak vector boson. The public Mathematica package GGT is described, which encodes the results of this work and yields analytical formulae for all N=4 SYM gluon-gluino trees. These in turn yield all QCD trees with up to four external arbitrary-flavored massless quark-anti-quark-pairs.- QCD Phenomenology
- supersymmetry: 4
- helicity: violation
- quantum chromodynamics: massless
- Yang-Mills: supersymmetry
- quark: massless
- quantum chromodynamics: scattering amplitude
- higher-order: 0
- fermion: flavor
- gluino
References(55)
Figures(6)