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arXiv · 2512.20790

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

Thales Azevedo·Humberto Gomez·Renann Lipinski Jusinskas
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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.

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Thales Azevedo, Humberto Gomez, Renann Lipinski Jusinskas. 2025-12-23. On-shell representation and further instances of the 2-split behavior of amplitudes. https://doi.org/10.1007/jhep06(2026)001

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