On-shell supersymmetry for massive multiplets

Abstract

The consequences of on-shell supersymmetry are studied for scattering amplitudes with massive particles in four dimensions. Using the massive version of the spinor helicity formalism the supersymmetry transformations relating products of on-shell states are derived directly from the on-shell supersymmetry algebra for any massive representation. Solutions to the resulting Ward identities can be constructed as functions on the on-shell superspaces that are obtained from the coherent state method. In simple cases it is shown that these superspaces allow one to construct explicitly supersymmetric scattering amplitudes. Supersymmetric on-shell recursion relations for tree-level superamplitudes with massive particles are introduced. As examples, simple supersymmetric amplitudes are constructed in SQCD, the Abelian Higgs model, the Coulomb branch of N=4 super Yang-Mills, QCD with an effective Higgs-gluon coupling and for massive vector boson currents.

49+9 pages, 4 figures, v2: references updated, typos corrected, examples added, v3: final PRD version

References in corpus (16)

• A note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Amplitudes and Spinor-Helicity in Six Dimensions
• Form factors at strong coupling via a Y-system
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• On form factors in N=4 sym
• Spinor Helicity and Dual Conformal Symmetry in Ten Dimensions
• On-shell constructibility of tree amplitudes in general field theories
• Recursion Relations for AdS/CFT Correlators
• BCFW for Witten Diagrams
• Direct Production of Lightest Regge Resonances
• On BCFW shifts of integrands and integrals
• SUSY Ward identities for multi-gluon helicity amplitudes with massive quarks
• CSW rules for a massive scalar
• Deriving CSW rules for massive scalar legs and pure Yang-Mills loops
• Twistor-inspired construction of massive quark amplitudes

Cited by in corpus (23)

• Helicity Selection Rules and Non-Interference for BSM Amplitudes
• Massive amplitudes on the Coulomb branch of N=4 SYM
• The Rise of SMEFT On-shell Amplitudes
• Helicity amplitudes for QCD with massive quarks
• Massive Supermultiplets in Four-Dimensional Superstring Theory
• Three particle superstring amplitudes with massive legs
• On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
• The Coulomb-branch S-matrix from massless amplitudes
• On-shell recursion for massive fermion currents
• Massive On-shell Recursion Relations for n-point Amplitudes
• Supersymmetric Massive Gravity
• Recursion relations for scattering amplitudes with massive particles II: massive vector bosons
• Selection rules for helicity amplitudes in massive gauge theories
• The dimension-shift conjecture for one-loop amplitudes
• Refined Partition Functions for Open Superstrings with 4, 8 and 16 Supercharges
• Multigluon tree amplitudes with a pair of massive fermions
• Hidden U(N) Symmetry behind N=1 Superamplitudes
• Scattering amplitudes in gauge theories with and without supersymmetry
• Holonomies of gauge fields in twistor space 5: amplitudes of gluons and massive scalars
• Holonomies of gauge fields in twistor space 6: incorporation of massive fermions
• Non-BPS Supersymmetric 3pt Amplitude for One Massless, Two Equally Massive Particles
• A new approach for amplitudes with multiple fermion lines
• Holonomies of gauge fields in twistor space 7: an electroweak model