On-shell representation and further instances of the 2-split behavior of amplitudes

Abstract

The newly discovered splitting behavior of tree-level scattering amplitudes of particles and strings has been expressed in terms of currents containing one off-shell leg. In this work, we explain how to obtain on-shell representations of the split amplitudes in different theories. Furthermore, we show that this 2-split behavior is also verified in gauge and gravity theories involving higher-dimensional operators, thereby providing additional evidence to its universal character. As a byproduct, we also generalize the transmuting operators to amplitudes in higher-derivative theories.

v1: 18 pages (plus appendix); v2: 25 pages, minor improvements, matches published version

References in corpus (10)

• Scattering of Massless Particles in Arbitrary Dimension
• Scattering of Massless Particles: Scalars, Gluons and Gravitons
• Unifying Relations for Scattering Amplitudes
• Scattering equations and BCJ relations for gauge and gravitational amplitudes with massive scalar particles
• Berends-Giele recursion for double-color-ordered amplitudes
• Heterotic and bosonic string amplitudes via field theory
• CHY representations for gauge theory and gravity amplitudes with up to three massive particles
• Ambitwistor formulations of $R^2$ gravity and $(DF{)}^2$ gauge theories
• Evaluation of the CHY Gauge Amplitude
• Massive strings from a haunted field theory

Cited by in corpus (1)

• A Novel On-Shell Recursive Relation