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Mass renormalization group of heavy meson light-cone distribution amplitude in QCD

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arxiv 2411.07101 v1 pith:JNCPV4FJ submitted 2024-11-11 hep-ph

Wei Wang , Ji Xu , Qi-An Zhang , Shuai Zhao This is my paper · ORCID
classification hep-ph
keywords heavylcdamassmesonquarkamplitudedependencedistribution
verification ladder T0 review T1 audit T2 compute T3 formal

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The heavy meson light-cone distribution amplitude (LCDA), as defined in full QCD, plays a key role in the collinear factorization for exclusive heavy meson production and in lattice computations of the LCDA within heavy-quark effective theory (HQET). In addition to its dependence on the renormalization scale, the QCD LCDA also evolves with the heavy quark mass. We derive a partial differential equation to characterize the mass evolution of the heavy meson QCD LCDA, examining the heavy quark mass dependence through its solution. Our results link the internal structure of heavy mesons across different quark masses, offering significant implications for lattice calculations and enabling the extrapolation of results from lower to higher quark masses.

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Cited by 6 Pith papers

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

  1. 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.

  2. Heavy quark mass dependence of the $\Lambda_Q$ light-cone distribution amplitude in QCD

    hep-ph 2026-07 conditional novelty 5.0 of 10

    The Lambda_Q baryon LCDA at mass m_Q equals (m_Q/m_Q^0)^2 times the LCDA at m_Q^0 evaluated at rescaled fractions x_i*m_Q/m_Q^0, times an exponentiated anomalous dimension, plus renormalon-model power corrections.

  3. Determination of $B$-meson distribution amplitudes from $B\to \pi,K,D$ transition form factors

    hep-ph 2025-12 unverdicted novelty 5.0 of 10

    Global fit of B to pi, K, D form factors from lattice QCD and LCSR yields lambda_B = 217(19) MeV with model variations and |V_ub| = 3.68(13) x 10^{-3}.

  4. Ill-Posedness in Limited Discrete Fourier Inversion and Regularization for Quasi Distributions in LaMET

    hep-lat 2025-06 conditional novelty 5.0 of 10

    Tikhonov regularization with L-curve parameter choice stabilizes the ill-conditioned limited inverse Fourier transform in LaMET and recovers pion quasi distribution amplitudes consistent with physics-driven lambda-ext...

  5. 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.

  6. Investigate the glueball-like particle $X(2370)$ in $B$ meson decays

    hep-ph 2025-01 conditional novelty 4.0 of 10

    Predictions for B to X(2370) branching fractions, around 10^-6 semileptonic and 10^-8 nonleptonic, suggest the glueball candidate is within Belle-II's reach.

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