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Heavy quark expansion for heavy-light light-cone operators

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arxiv 1910.03470 v2 pith:NC2IFFFV submitted 2019-10-08 hep-ph

Shuai Zhao This is my paper · ORCID
classification hep-ph
keywords expansionheavyhqetlight-coneoperatoroperatorsquarkheavy-light
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We generalize the celebrated heavy quark expansion to nonlocal QCD operators. By taking nonlocal heavy-light current on the light-cone as an example, we confirm that the collinear singularities are common between QCD operator and the corresponding operator in heavy quark effective theory (HQET), at the leading power of $1/M$ expansion. Based on a perturbative calculation in operator form at one-loop level, a factorization formula linking QCD and HQET operators is investigated and the matching coefficient is determined. The matching between QCD and HQET light-cone distribution amplitudes (LCDAs) as well as other momentum distributions of hadron can be derived as a consequence.

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Cited by 4 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. $B$-meson light-cone distribution amplitude from the Euclidean quantity

    hep-ph 2019-08 conditional novelty 6.0 of 10

    The paper derives a hard-collinear factorization formula with a one-loop matching coefficient connecting the B-meson quasi-distribution amplitude to the physical light-cone distribution amplitude.

  3. 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.

  4. 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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