Static-Recoil Factorization in Heavy-Baryon Chiral EFTs
arXiv:2607.12037
The paper introduces a static‑recoil factorization method for heavy‑baryon chiral effective field theory that uses on‑shell recoil‑channel eigenoperators to separate mass and recoil effects, enabling systematic construction of non‑redundant operators for higher‑spin resonances.
Abstract
Extending heavy-baryon \(Ï\)PT to higher-spin resonances introduces unphysical lower-spin admixtures, leading to costly path-integral projections. To resolve this, we develop an on-shell implementation of the heavy-baryon expansion based on recoil-channel partial-wave eigenoperators. These eigenoperators separate the static mass dependence from recoil structures and assign chiral order directly in amplitude space. The resulting static--recoil factorization systematically generates non-redundant local operators for heavy-baryon sectors involving higher-spin resonances. Flavor structures and identical-particle constraints are imposed through a new linear-algebraic reduction that uses von Neumann alternating projections to extract the corresponding common physical subspace. Beyond this specific application, the framework can be broadly applied to general nonrelativistic effective field theories.
60 pages, 1 figures