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Relativistic corrections to psi(nS)torhoπ exclusive decays and their role in the understanding of the rhoπ-puzzle

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arxiv 2301.03884 v2 pith:WWH3YCRC submitted 2023-01-10 hep-ph

Relativistic corrections to psi(nS)torhoπ exclusive decays and their role in the understanding of the rhoπ-puzzle

classification hep-ph
keywords correctionsorderrelativisticdecaysexclusivenumericalpuzzlerelative
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study relativistic corrections to exclusive $S$-wave charmonium decays into $\rho\pi$ and $\gamma\pi$ final states. The contribution of relative order $v^2$ and the set of associated higher order corrections are calculated using NRQCD and collinear factorisation framework. Numerical estimates show that the dominant effect is provided by the corrections of relative order $v^2$. The numerical values of these contributions are of the same order as the leading-order ones. These results suggest a scenario where the sum of relativistic and radiative QCD corrections could explain the $\rho\pi$-puzzle.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Radiative decays $J/\psi,\,\psi(2S)\rightarrow\gamma\eta^{(\prime)}$ in perturbative QCD with relativistic corrections

    hep-ph 2026-07 conditional novelty 6.0

    Order-q² relativistic corrections in pQCD roughly double J/ψ→γη(') rates and favor a smaller mixing angle, while ψ(2S) rates overshoot data and may require coherent ηc mixing.

  2. Three-gluon decays of radially excited quarkonia $\psi(2S)$ and $\Upsilon(2S)$ with both relativistic and QCD radiative corrections

    hep-ph 2026-03 conditional novelty 5.0

    Phenomenologically improved Bethe-Salpeter calculations of ψ(2S)/Υ(2S) → ggg, including relativistic and QCD corrections, match experiment and extract lower β_V values reflecting nodal sensitivity.