Helicity amplitudes for QCD with massive quarks

Abstract

The novel massive spinor-helicity formalism of Arkani-Hamed, Huang and Huang provides an elegant way to calculate scattering amplitudes in quantum chromodynamics for arbitrary quark spin projections. In this note we compute two families of tree-level QCD amplitudes with one massive quark pair and n-2 gluons. The two cases include all gluons with identical helicity and one opposite-helicity gluon being color-adjacent to one of the quarks. Our results naturally incorporate the previously known amplitudes for both quark spins quantized along one of the gluonic momenta. In the all-multiplicity formulae presented here the spin quantization axes can be tuned at will, which includes the case of the definite-helicity quark states.

v3 conventions tweaked to match further work by author, supersedes journal version

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Cited by in corpus (31)

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• Double copy for massive quantum particles with spin
• Compton Black-Hole Scattering for $s\le 5/2$
• The electroweak effective field theory from on-shell amplitudes
• Classical observables from coherent-spin amplitudes
• The Rise of SMEFT On-shell Amplitudes
• Classical Limit of Higher-Spin String Amplitudes
• Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
• Chiral approach to massive higher spins
• Constructing $\mathcal{N}=4$ Coulomb Branch Superamplitudes
• On-shell Higgsing for EFTs
• Classical Double Copy of Spinning Worldline Quantum Field Theory
• Massive On-Shell Supersymmetric Scattering Amplitudes
• Scattering of Gravitons and Spinning Massive States from Compact Numerators
• The $L_{\infty }$ structure of gauge theories with matter
• 2-, 3- and 4-Body Decays in the Constructive Standard Model
• Recursion relations for scattering amplitudes with massive particles
• Spinor-helicity formalism for massive and massless amplitudes in five dimensions
• On-shell constructibility of Born amplitudes in spontaneously broken gauge theories
• All-multiplicity amplitudes with four massive quarks and identical-helicity gluons
• Recursion relations for scattering amplitudes with massive particles II: massive vector bosons
• The chirality-flow formalism for the standard model
• The dimension-shift conjecture for one-loop amplitudes
• Scattering Amplitudes and BCFW in $\mathcal{N}=2^{\ast }$ Theory
• An SZ-Like Effect on Cosmological Gravitational Wave Backgrounds
• On Higgs boson plus gluon amplitudes at one loop
• Loop Amplitudes in the Coulomb Branch of $\mathcal{N}=4$ Super-Yang-Mills Theory
• Spinor Representations for Fields with any Spin: Lorentz Tensor Basis for Operators and Covariant Multipole Decomposition