On the Amplitude/Wilson Loop duality in $\mathcal{N}=2$ SCQCD

Abstract

We compute the four-point amplitude with external adjoint particles in $\mathcal{N}=2$ SCQCD at two loops using $\mathcal{N}=1$ superspace Feynman diagrams, extending the results of arXiv:1406.7283. We consider the diagrammatic difference with the corresponding process of $\mathcal{N}=4$ SYM finding a non vanishing result, which is a non trivial function of the kinematic variables. This demonstrates that in $\mathcal{N}=2$ SCQCD, even in the sector with external particles in the vector multiplet, the amplitude/Wilson loop duality is inevitably broken at two loops.

arXiv comment17 pages; v2: a comment on the Regge limit of the final result and references added; v3: minor corrections; v4: published shorter version matching Phys.Lett. B standards

References in corpus (21)

• Gluon scattering amplitudes at strong coupling
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• On planar gluon amplitudes/Wilson loops duality
• Two-Loop Four-Gluon Amplitudes in N=4 Super-Yang-Mills
• Evolution equation for gluon Regge trajectory
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• DGLAP and BFKL evolution equations in the N=4 supersymmetric gauge theory
• Conformal Anomaly for Amplitudes in N=6 Superconformal Chern-Simons Theory
• Cutting through form factors and cross sections of non-protected operators in N=4 SYM
• One Loop Amplitudes In ABJM
• The Exact Effective Couplings of 4D N=2 gauge theories
• Wilson Loops in N=2 Superconformal Yang-Mills Theory
• Integrability in N=2 superconformal gauge theories
• From N=4 gauge theory to N=2 conformal QCD: three-loop mixing of scalar composite operators
• On the Integrability of Planar N=2 Superconformal Gauge Theories
• The two-loop six-point amplitude in ABJM theory
• Integrability and MHV diagrams in N=4 supersymmetric Yang-Mills theory
• Integrability and unitarity
• MHV amplitudes in N=2 SQCD and in N=4 SYM at one loop
• Four-point amplitudes in $\mathcal{N}=2$ SCQCD
• Antenna Operator Product Expansion of ABJ(M) Lightlike Polygon Wilson Loop