Scattering Amplitudes with Open Loops

Scattering amplitudes with open loops.

We introduce a new technique to generate scattering amplitudes at one loop. Traditional tree algorithms, which handle diagrams with fixed momenta, are promoted to generators of loop-momentum polynomials that we call open loops. Combining open loops with tensor-integral and Ossola-Papadopoulos-Pittau reduction results in a fully flexible, very fast, and numerically stable one-loop generator. As ...

Wilson Loops and QCD/String Scattering Amplitudes

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in N = 4 SYM to large N QCD by deriving a general relation between QCD meson scattering amplitudes and Wilson loops. We then investigate properties of the open-string disk amplitude integrated over reparametrizations. When the Wilson loop is approximated by the area behavior, we find that the QCD scatter...

Planar scattering amplitudes from Wilson loops

We derive an expression for parton scattering amplitudes of planar gauge theory in terms of sums of Wilson loops. We study in detail the example of Yang-Mills theory with an adjoint Higgs field. The expression exhibits the T-duality performed by Alday and Maldacena in the AdS dual as a Fourier transform in loop space. When combined with the AdS/CFT correspondence for Wilson loops and a strong c...

Scattering amplitudes in open superstring theory

Constraining higher derivative supergravity with scattering amplitudes

Supersymmetry constraints on higher derivative couplings in maximal supergravity theories have been investigated extensively in the past [1–7] and have led to remarkable exact results on the quantum effective action of string theory. The method of Refs. [3,8–10] in obtaining constraints on higher derivative terms in gauge and gravity theories with maximal supersymmetry was by explicitly analyzi...