Off-Shell CHY Amplitudes
C.S. Lam, York-Peng Yao
TL;DR
This paper extends the CHY formula for scattering amplitudes to off-shell cases, maintaining key invariances and pole structures, and applies the method to massive scalars and vectors.
Contribution
It introduces a novel off-shell extension of the CHY formalism, preserving M"obius invariance and pole structure, and broadens its applicability to massive particles.
Findings
Off-shell amplitudes are M"obius invariant.
Off-shell amplitudes share the same momentum poles as on-shell.
Method applied to massive scalar and vector boson amplitudes.
Abstract
The Cachazo-He-Yuan (CHY) formula for on-shell scattering amplitudes are extended off-shell. The off-shell amplitudes are M\"obius invariant, and have the same momentum poles as the on-shell amplitudes. The same technique is also used to obtain off-shell massive scalar and vector boson amplitudes.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Particle Accelerators and Free-Electron Lasers