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Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework

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arxiv 2501.18085 v2 pith:25F62JBJ submitted 2025-01-30 hep-ph

classification hep-ph
keywords mesonsdistributionpseudo-scalarquarkvectoramplitudescompareddyson-schwinger
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We report the first Dyson-Schwinger equation predictions for the leading-twist distribution amplitudes of the $B^*$, $B_s^*$, and $B_c^*$ mesons, and extend the investigation to a broader set of heavy-light pseudo-scalar/vector mesons. Numerical analysis shows that, in flavor-asymmetric systems, the distribution amplitude is skewed toward the heavier quark, with the position of the maximum $\sim M^f_E/(M^f_E+M^g_E)$, where $M_E$ is the Euclidean constituent quark mass and $f$, $g$ denote the quark flavors. Spin effects are found to be subleading compared to the influence of valence-quark composition, and lead to heavier quarks carrying more light-front momentum in vector mesons than in their pseudo-scalar counterparts. Our results can be compared with both experimental and theoretical outcomes in the future.

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Forward citations

Cited by 3 Pith papers

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

  1. Pion Distribution Amplitudes from Functional QCD

    hep-ph 2026-07 conditional novelty 7.0 of 10

    The pion DA computed from functional QCD via LaMET has ⟨ξ²⟩_π = 0.267 (no quoted error), consistent with sum rules and DSE/BSE and 0.8σ below the lattice-LaMET value 0.300(41).

  2. Imaging the charge distributions of flavor-symmetric and -asymmetric mesons

    hep-ph 2025-06 conditional novelty 5.0 of 10

    Using a maximum-entropy inversion of DSE/BSE form factors, the authors map meson charge profiles and find quark-antiquark distances that shrink with quark mass and grow by 5-15% for spin-aligned mesons.

  3. Vector mesons leading-twist longitudinal distribution amplitudes and related semi-leptonic decays within QCD sum rules

    hep-ph 2026-07 conditional novelty 4.0 of 10

    New QCD sum-rule calculation gives ξ-moments up to tenth order and PLP-model distribution amplitudes for ρ, K*, φ, which are then used to recalculate D_(s)→V semileptonic observables.

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