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$B$-meson Ioffe-time distribution amplitude at short distances

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arxiv 2006.05663 v2 pith:IBBEY67X submitted 2020-06-10 hep-ph hep-lat

Shuai Zhao , Anatoly V. Radyushkin This is my paper · ORCID
classification hep-phhep-lat
keywords mesonitdadistributionlcdareducedamplitudeapproachioffe-time
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We propose the approach for a lattice investigation of light-cone distribution amplitudes (LCDA) of heavy-light mesons, such as the $B$-meson, using the formalism of parton pseudo-distributions. A basic ingredient of the approach is the study of short-distance behavior of the $B$-meson Ioffe-time distribution amplitude (ITDA), which is a generalization of the $B$-meson LCDA in coordinate space. We construct a reduced ITDA for the $B$-meson, and derive the matching relation between the reduced ITDA and the LCDA. The reduced ITDA is ultraviolet finite, which guarantees that the continuum limit exists on the lattice.

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Cited by 3 Pith papers

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

  1. Light Cone Distribution Amplitude for the $\Lambda$ Baryon from Lattice QCD

    hep-lat 2024-11 conditional novelty 7.0 of 10

    The first lattice QCD extraction of the Lambda baryon's light-cone distribution amplitude via LaMET yields a momentum-fraction distribution peaked at small light-quark momenta.

  2. Factorization Formula Connecting the Shape Functions of Heavy Meson in QCD and Heavy Quark Effective Theory

    hep-ph 2025-04 conditional novelty 6.0 of 10

    The QCD B-meson shape function in the endpoint region equals the HQET shape function multiplied by a perturbative matching coefficient whose one-loop form is derived in this paper.

  3. Power corrections in the determination of heavy meson LCDAs: A renormalon-based estimation

    hep-ph 2025-05 conditional novelty 5.0 of 10

    Using the renormalon model, the paper estimates that power corrections to the QCD-to-HQET light-cone distribution amplitude matching are around 22% for the D meson and 7% for the B meson in the peak region.

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