Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2010-10-19
JHEP 1101:035,2011
Physics
High Energy Physics
High Energy Physics - Phenomenology
40 pages, Mathematica package GGT.m and example notebook is included in submission, v2: QCD four fermion line translations pro
Scientific paper
10.1007/JHEP01(2011)035
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.
Dixon Lance J.
Henn Johannes M.
Plefka Jan
Schuster Theodor
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