General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory

Details General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory General Split Helicity Gluon Tree Amplitudes in Open Twistor String Theory

2010-02-25

arxiv.org/abs/1002.4852v2

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, minor misprints corrected

Scientific paper

We evaluate all split helicity gluon tree amplitudes in open twistor string theory. We show that these amplitudes satisfy the BCFW recurrence relations restricted to the split helicity case and, hence, that these amplitudes agree with those of gauge theory. To do this we make a particular choice of the sextic constraints in the link variables that determine the poles contributing to the contour integral expression for the amplitudes. Using the residue theorem to re-express this integral in terms of contributions from poles at rational values of the link variables, which we determine, we evaluate the amplitudes explicitly, regaining the gauge theory results of Britto et al.

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