On the amplitudes in N=(1,1) D=6 SYM

Abstract

We consider the on-shell amplitudes in N=(1,1) SYM in D=6 dimensions within the spinor helicity and on-shell superspace formalism. This leads to an effective and straightforward technique reducing the calculation to a set of scalar master integrals. As an example, the simplest four point amplitude is calculated in one and two loops in the planar limit. All answers are UV and IR finite and expressed in terms of logs and Polylogs of transcendentality level 2 at one loop, and 4 and 3 at two loops. The all loop asymptotical limit at high energy is obtained which exhibits the Regge type behaviour. The intercept is calculated in the planar limit and is equal to alpha(t)=1+\sqrt{g_{YM}^2 N_c|t|/32pi^3}.

Latex, 24 pages, 4 figures, v2 typos corrected, references added

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Cited by in corpus (6)

• Leading low-energy effective action in $6D$, $\mathcal{N}=(1,1)$ SYM theory
• On the component structure of one-loop effective actions in $6D$, $\mathcal{N}=(1,0)$ and $\mathcal{N}=(1,1)$ supersymmetric gauge theories
• Amplitudes in fishnet theories in diverse dimensions and Box ladder diagrams
• One-loop divergences in the six-dimensional $\mathcal{N}=(1,0)$ hypermultiplet self-coupling model
• Evaluation of Multi-Box Diagrams in Six Dimensions
• Dual Conformal Symmetry and Iterative Integrals in Six Dimensions