What question did this study set out to answer?

The aim is to investigate the 2-split behavior of specific tree-level amplitudes under certain conditions.

February 21, 2026Open Access

2-split from Feynman diagrams and expansions

Key Points

The aim is to investigate the 2-split behavior of specific tree-level amplitudes under certain conditions.
Utilized Feynman diagram techniques to prove 2-split property for tree-level amplitudes.
Examined bi-adjoint scalar, Yang-Mills, non-linear sigma model, and general relativity theories.
Established expansions of X amplitudes into BAS ⊕ X amplitudes.
Proved the 2-split property for tree-level BAS ⊕ X amplitudes.
Derived universal expansions of pure X currents into BAS currents.
Identified patterns in the Feynman rules that facilitate the 2-split behavior.

Abstract

A bstract In this paper, we investigate the 2-split behavior of tree-level amplitudes of bi-adjoint scalar (BAS), Yang-Mills (YM), non-linear sigma model (NLSM), and general relativity (GR) theories under certain kinematic conditions. Our approach begins with a proof, based on the Feynman diagram method, of the 2-split property for tree-level BAS ⊕ X amplitudes with X = YM , NLSM , GR. The proof relies crucially on a particular pattern in the Feynman rules of various vertices. Building on this, we use the expansion of X amplitudes into BAS ⊕ X amplitudes to establish the 2-split behavior. As a byproduct, we derive universal expansions of the resulting pure X currents into BAS currents, which closely parallel the corresponding on-shell amplitude expansions.

اسأل الذكاء الاصطناعي

Bookmark

View Full Paper