March 3, 2026Open Access

2-split of form factors via BCFW recursion relation

Puntos clave

The presence of hidden zeros indicates that form factors vanish under specific kinematic constraints, revealing deeper structural properties.
An inductive proof is employed based on BCFW recursion relations to demonstrate 2-split factorization across various setups.
Two composite operators are examined, leading to new insights on their respective form factors within given theoretical frameworks.
The findings may illuminate aspects of scattering amplitudes, enhancing our understanding of particle interactions in quantum field theory.

Resumen

A bstract Recently, 1 demonstrated the 2-split for form factor under specific kinematic constraints. This factorization is analogous to that observed in scattering amplitudes. A key consequence of this structure is the presence of hidden zeros, where the form factors vanish on specific kinematic loci. We first establish these zeros and a new zero for the form factors of the composite operators O=12Tr ( () ^2) +Tr (^3) and O=Tr (F^2), and then employ an inductive proof based on the BCFW recursion relation to prove the 2-split factorization for any number of external particles.

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