2-split of form factors via BCFW recursion relation
Abstract
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 $$\mathcal{O}=\frac{1}{2}{\text{Tr}}\left({\left(\partial \phi \right)}^{2}\right)+Tr\left({\phi }^{3}\right)$$ and $$\mathcal{O}={\text{Tr}}\left({F}^{2}\right)$$ , and then employ an inductive proof based on the BCFW recursion relation to prove the 2-split factorization for any number of external particles.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Quantum Mechanics and Non-Hermitian Physics
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 1
- Publication date
- 16 January 2026
- Language
- EN