Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory

Abstract

We use massive spinor helicity formalism to study scattering amplitudes in $\mathcal{N}=2^{\ast }$ super-Yang-Mills theory in four dimensions. We compute the amplitudes at an arbitrary point in the Coulomb branch of this theory. We compute amplitudes using projection from $\mathcal{N}=4$ theory and write three point amplitudes in a convenient form using special kinematics. We then compute four point amplitudes by carrying out massive BCFW shifts of the amplitudes. We find some of the shifted amplitudes have a pole at $z=\infty$. Taking the residue at $z=\infty$ into account ensures little group covariance of the final result.

arXiv commentElaborating the introduction and some sections. Two references are added. Some typos are corrected

References in corpus (25)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Direct Proof Of Tree-Level Recursion Relation In Yang-Mills Theory
• Perturbative Gauge Theory As A String Theory In Twistor Space
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Amplitudes and Spinor-Helicity in Six Dimensions
• Supertwistor space for 6D maximal super Yang-Mills
• Generalized Unitarity and Six-Dimensional Helicity
• Two-loop supersymmetric QCD and half-maximal supergravity amplitudes
• Dual Conformal Properties of Six-Dimensional Maximal Super Yang-Mills Amplitudes
• Massive amplitudes on the Coulomb branch of N=4 SYM
• On-shell superamplitudes in N<4 SYM
• Helicity amplitudes for QCD with massive quarks
• The S Matrix of 6D Super Yang-Mills and Maximal Supergravity from Rational Maps
• Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes
• Two-loop $\mathcal{N}=2$ SQCD amplitudes with external matter from iterated cuts
• The Next-to-Simplest Quantum Field Theories
• Non-Chiral S-Matrix of N=4 Super Yang-Mills
• Massive On-Shell Supersymmetric Scattering Amplitudes
• On-Shell Electroweak Sector and the Higgs Mechanism
• Recursion relations for scattering amplitudes with massive particles
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• The Coulomb-branch S-matrix from massless amplitudes
• Massive On-shell Recursion Relations for n-point Amplitudes
• Recursion relations for scattering amplitudes with massive particles II: massive vector bosons
• Massive Scattering Amplitudes in Six Dimensions

Cited by in corpus (3)

• Supersymmetric Massive Gravity
• On-shell Supersymmetry and higher-spin amplitudes
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory