Two-loop = 2 SQCD amplitudes with external matter from iterated cuts
Nov 23, 201848 pages
Published in:
- JHEP 07 (2019) 120
- Published: Jul 19, 2019
e-Print:
- 1811.09604 [hep-th]
Report number:
- UUITP-54/18
View in:
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Abstract: (Springer)
We develop an iterative method for constructing four-dimensional generalized unitarity cuts in = 2 supersymmetric Yang-Mills (SYM) theory coupled to fundamental matter hypermultiplets ( = 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 = 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 = 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.Note:
- 35 pages + appendices + references; 4 figures, 2 tables; journal version
- Duality in Gauge Field Theories
- Scattering Amplitudes
- Supersymmetric Gauge Theory
- quantum chromodynamics: supersymmetry
- higher-dimensional
- chiral
- scattering amplitude
- loop integral
- n-point function: 4
- maximally helicity violating amplitude
References(128)
Figures(1)