Heavy mesons from the QCD instanton vacuum beyond the static limit
Abstract
We study pseudoscalar heavy mesons in the QCD instanton vacuum beyond the static limit. Finite-mass effects in the heavy-light loop are encoded in a separable effective vertex built from a profile function ϕ(p⃗), kept distinct from the static Wilson-line form factor FQ(∞)(q⃗) of the mQ→∞ limit. The pseudoscalar two-point function fixes the residual mass Λ and the residue-normalized meson-quark coupling, from which we evaluate the decay constant and the spin-independent kinetic matrix element including the retained 1/mQ derivative and kinetic contributions. The Isgur-Wise function is evaluated separately in the static heavy-quark limit, and its zero-recoil slope is extracted by using the same residue-normalized heavy-light vertex. The subleading calculation is restricted to the kinetic (derivative) part of the HQET operators. For a representative vertex, calibrated at fixed mbeff=5.04 GeV to the leading-order decay constant fBLO=180.0 MeV and the spin-averaged mass m̅B=5.313 GeV, we obtain δfB(1/mQ,partial)=+121.9 MeV and fBpartial=301.9 MeV, Λ=190.7 MeV, λ1(∂)=−0.773 GeV2, and ρIW2=1.153. The kinetic contribution yields a mass shift of order Λ/2 and a sizable partial 1/mQ correction, indicating that the spin-independent nonperturbative 1/mQ sector is a sensitive probe of the finite-mass heavy-light vertex.
Related
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BibTeX
@misc{hong2026heavy,
title = {{Heavy mesons from the QCD instanton vacuum beyond the static limit}},
author = {Ki-Hoon Hong and Yongwoo Choi and Nurmukhammad Rakhimov and Hyun-Chul Kim},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2606.28702},
eprint = {2606.28702},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2606.28702},
}
RIS
TY - UNPB
TI - Heavy mesons from the QCD instanton vacuum beyond the static limit
AU - Ki-Hoon Hong
AU - Yongwoo Choi
AU - Nurmukhammad Rakhimov
AU - Hyun-Chul Kim
PY - 2026
DA - 2026/10/01
PB - arXiv
DO - 10.48550/arxiv.2606.28702
UR - https://arxiv.org/abs/2606.28702
AB - We study pseudoscalar heavy mesons in the QCD instanton vacuum beyond the static limit. Finite-mass effects in the heavy-light loop are encoded in a separable effective vertex built from a profile function ϕ(p⃗), kept distinct from the static Wilson-line form factor F_Q^(∞)(q⃗) of the m_Q→∞ limit. The pseudoscalar two-point function fixes the residual mass Λ and the residue-normalized meson-quark coupling, from which we evaluate the decay constant and the spin-independent kinetic matrix element including the retained 1/m_Q derivative and kinetic contributions. The Isgur-Wise function is evaluated separately in the static heavy-quark limit, and its zero-recoil slope is extracted by using the same residue-normalized heavy-light vertex. The subleading calculation is restricted to the kinetic (derivative) part of the HQET operators. For a representative vertex, calibrated at fixed m_b^eff=5.04 GeV to the leading-order decay constant f_B^LO=180.0 MeV and the spin-averaged mass m̅_B=5.313 GeV, we obtain δf_B^(1/m_Q,partial)=+121.9 MeV and f_B^partial=301.9 MeV, Λ=190.7 MeV, λ_1^(∂)=−0.773 GeV^2, and ρ_IW^2=1.153. The kinetic contribution yields a mass shift of order Λ/2 and a sizable partial 1/m_Q correction, indicating that the spin-independent nonperturbative 1/m_Q sector is a sensitive probe of the finite-mass heavy-light vertex.
ER -