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Karlsruhe 2011 – scientific programme

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T: Fachverband Teilchenphysik

T 12: QCD (Theorie) / Quantenfeldtheorie

T 12.9: Talk

Friday, April 1, 2011, 16:05–16:20, 30.23: 10-1

All tree-level amplitudes in massless QCDLance Dixon1,2, Johannes Henn3, Jan Plefka3, and •Theodor Schuster31Theory Group, Physics Department, CERN, Ch-1211 Geneva 23, Switzerland — 2SLAC National Accelerator Laboratory, Stanford University, Stanford, CA 94309, USA — 3Institut für Physik, Humboldt-Universität zu Berlin, Newtonstraße 15, D-12489 Berlin, Germany

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 for all gluon-gluino tree amplitudes is presented, based on the combinatorics of paths along a rooted tree and associated determinants. Our results are obtained by projecting the previously-found expressions for the super-amplitudes of the maximally supersymmetric super Yang-Mills theory (N = 4 SYM) onto the relevant components.

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.

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