ALP interactions with mesons and baryons at 𝒪(1/fa): a general field redefinition invariant approach
Abstract
We develop a field-redefinition-invariant description of hadronic amplitudes outside the WZW sector at 𝒪(1/fa), including general flavour-conserving and flavour-changing quark couplings. Starting from the most general CP-conserving Lagrangian for ALP interactions with the QCD sector, we identify invariant Wilson coefficient combinations and match them onto the U(3) chiral theory. Using LSZ reduction, we choose fields for which ALP--meson mixing vanishes at this order; amplitudes then depend only on direct invariant couplings, while the anomalous gluonic interaction remains encoded in the U(1)A sector. For the baryon octet, we derive the general vector and axial couplings and identify, to our knowledge for the first time, an independent invariant ALP--baryon interaction from a second topological singlet structure in the U(3) baryon Lagrangian. We constrain flavour-changing couplings with rare hyperon decays and show in an explicit ultraviolet model that running and matching can generate them from flavour-diagonal high-scale couplings. Finally, we estimate baryon--antibaryon widths and find that, in a gluophilic benchmark, their sum can exceed individual exclusive mesonic widths for 2 GeV ≤ ma ≤ 3 GeV.
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BibTeX
@misc{alda2026interactions,
title = {{ALP interactions with mesons and baryons at $\mathcalO(1/f_a)$: a general field redefinition invariant approach}},
author = {Jorge Alda and Stefano Rigolin},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.13671},
eprint = {2610.13671},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.13671},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - ALP interactions with mesons and baryons at 𝒪(1/f_a): a general field redefinition invariant approach
AU - Jorge Alda
AU - Stefano Rigolin
PY - 2026
DA - 2026/10/09
PB - arXiv
DO - 10.48550/arxiv.2610.13671
UR - https://arxiv.org/abs/2610.13671
AB - We develop a field-redefinition-invariant description of hadronic amplitudes outside the WZW sector at 𝒪(1/f_a), including general flavour-conserving and flavour-changing quark couplings. Starting from the most general CP-conserving Lagrangian for ALP interactions with the QCD sector, we identify invariant Wilson coefficient combinations and match them onto the U(3) chiral theory. Using LSZ reduction, we choose fields for which ALP--meson mixing vanishes at this order; amplitudes then depend only on direct invariant couplings, while the anomalous gluonic interaction remains encoded in the U(1)_A sector. For the baryon octet, we derive the general vector and axial couplings and identify, to our knowledge for the first time, an independent invariant ALP--baryon interaction from a second topological singlet structure in the U(3) baryon Lagrangian. We constrain flavour-changing couplings with rare hyperon decays and show in an explicit ultraviolet model that running and matching can generate them from flavour-diagonal high-scale couplings. Finally, we estimate baryon--antibaryon widths and find that, in a gluophilic benchmark, their sum can exceed individual exclusive mesonic widths for 2 GeV ≤ m_a ≤ 3 GeV.
ER -