Abstract
We develop an iterative method for constructing four-dimensional generalized unitarity cuts in mathcal{N} = 2 supersymmetric Yang-Mills (SYM) theory coupled to fundamental matter hypermultiplets ( mathcal{N} = 2 SQCD). For iterated two-particle cuts, specifically those involving only four-point amplitudes, this implies simple diagrammatic rules for assembling the cuts to any loop order, reminiscent of the rung rule in mathcal{N} = 4 SYM. By identifying physical poles, the construction simplifies the task of extracting complete integrands. In combination with the duality between color and kinematics we construct all four-point massless MHV-sector scattering amplitudes up to two loops in mathcal{N} = 2 SQCD, including those with matter on external legs. Our results reveal chiral infrared-finite integrands closely related to those found using loop-level BCFW recursion. The integrands are valid in D ≤ 6 dimensions with external states in a four-dimensional subspace; the upper bound is dictated by our use of six-dimensional chiral N = (1, 0) SYM as a means of dimensionally regulating loop integrals.
Highlights
Supersymmetric Yang-Mills (SYM) theories are well known to have simpler scattering amplitudes than the most physically interesting gauge theory — quantum chromodynamics (QCD)
We develop an iterative method for constructing four-dimensional generalized unitarity cuts in N = 2 supersymmetric Yang-Mills (SYM) theory coupled to fundamental matter hypermultiplets (N = 2 supersymmetric QCD (SQCD))
In this paper we develop an iterative approach for computing generalized unitarity cuts in N = 2 supersymmetric QCD (SQCD),1 which is reminiscent of the rung rule and helps us construct amplitude integrands
Summary
Supersymmetric Yang-Mills (SYM) theories are well known to have simpler scattering amplitudes than the most physically interesting gauge theory — quantum chromodynamics (QCD). In this paper we develop an iterative approach for computing generalized unitarity cuts in N = 2 supersymmetric QCD (SQCD), which is reminiscent of the rung rule and helps us construct amplitude integrands. This theory is equivalent to N = 2 SYM coupled to. We summarize the off-shell constraints to be placed on kinematic numerators, in addition to those required by color-kinematics duality [61, 62]
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