Finite-Width Dissolution of Radial Spectroscopy in Single-Top Mesonic Correlations
Abstract
Within the heavy-mass expansion, the pole width of a system containing one unstable heavy constituent inherits the constituent width up to 𝒪(Λkin2/mQ2) corrections, while radial splittings remain 𝒪(Λrad). The top quark is an extreme realization of this hierarchy. We implement the complex top pole mass in an instantaneous Bethe--Salpeter framework, where a biorthogonal Hellmann--Feynman relation realizes width inheritance at the operator level and an artificial heavy-mass scan confirms the predicted mQ−2 suppression. The low-pole source-projected response has a single broad maximum at the physical top width in the tb̅, tc̅, and tu̅ channels. Full width-dependent non-Hermitian re-diagonalization and a direct full-matrix resolvent evaluation confirm the progressive dissolution of the small-width radial maxima. Thus stable-top eigenvalues survive as reference poles but not as a resolvable multi-peak spectrum; they may instead leave qualitative, process-dependent Wbq̅ signatures, such as a broad threshold enhancement or modified color flow.
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BibTeX
@misc{wan2026finitewidth,
title = {{Finite-Width Dissolution of Radial Spectroscopy in Single-Top Mesonic Correlations}},
author = {Bing-Dong Wan and Shuo Yang},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.29476},
eprint = {2608.29476},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.29476},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Finite-Width Dissolution of Radial Spectroscopy in Single-Top Mesonic Correlations
AU - Bing-Dong Wan
AU - Shuo Yang
PY - 2026
DA - 2026/08/30
PB - arXiv
DO - 10.48550/arxiv.2608.29476
UR - https://arxiv.org/abs/2608.29476
AB - Within the heavy-mass expansion, the pole width of a system containing one unstable heavy constituent inherits the constituent width up to 𝒪(Λ_kin^2/m_Q^2) corrections, while radial splittings remain 𝒪(Λ_rad). The top quark is an extreme realization of this hierarchy. We implement the complex top pole mass in an instantaneous Bethe--Salpeter framework, where a biorthogonal Hellmann--Feynman relation realizes width inheritance at the operator level and an artificial heavy-mass scan confirms the predicted m_Q^−2 suppression. The low-pole source-projected response has a single broad maximum at the physical top width in the tb̅, tc̅, and tu̅ channels. Full width-dependent non-Hermitian re-diagonalization and a direct full-matrix resolvent evaluation confirm the progressive dissolution of the small-width radial maxima. Thus stable-top eigenvalues survive as reference poles but not as a resolvable multi-peak spectrum; they may instead leave qualitative, process-dependent Wbq̅ signatures, such as a broad threshold enhancement or modified color flow.
ER -