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<p>Light-cone distribution amplitudes (LCDAs) are essential to precision phenomenology in heavy baryon decays. In this work, we derive a factorization formula connecting the leading-twist QCD LCDA to the boosted HQET LCDA of the Λ<sub><i>b</i></sub> baryon in the peak region. We demonstrate a significant simplification of the matching procedure by applying the method-of-regions to perturbative calculations. With this simplification, we calculate the required one-loop perturbative corrections to the QCD and boosted HQET LCDAs in the <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mover accent="true"> <mi>MS</mi> <mo stretchy="true">¯</mo> </mover> </math></EquationSource> <EquationSource Format="TEX">\( \overline{\textrm{MS}} \)</EquationSource> </InlineEquation> scheme, and thereby obtain the one-loop jet function that serves as the matching kernel in the factorization formula. We have also performed the matching of the Λ<sub><i>b</i></sub> decay constants in QCD and boosted HQET, leading to the final factorization formula connecting the LCDAs in these two theories. A detailed discussion of the Λ<sub><i>b</i></sub> QCD LCDA in the tail region is provided. This work provides an essential step toward lattice QCD calculation of heavy baryon LCDAs in the future.</p>

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Factorization formula connecting the Λb LCDA in QCD and boosted HQET

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年5月19日

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  • Yu-Ji Shi,
  • Jun Zeng

摘要

Light-cone distribution amplitudes (LCDAs) are essential to precision phenomenology in heavy baryon decays. In this work, we derive a factorization formula connecting the leading-twist QCD LCDA to the boosted HQET LCDA of the Λb baryon in the peak region. We demonstrate a significant simplification of the matching procedure by applying the method-of-regions to perturbative calculations. With this simplification, we calculate the required one-loop perturbative corrections to the QCD and boosted HQET LCDAs in the MS ¯ \( \overline{\textrm{MS}} \) scheme, and thereby obtain the one-loop jet function that serves as the matching kernel in the factorization formula. We have also performed the matching of the Λb decay constants in QCD and boosted HQET, leading to the final factorization formula connecting the LCDAs in these two theories. A detailed discussion of the Λb QCD LCDA in the tail region is provided. This work provides an essential step toward lattice QCD calculation of heavy baryon LCDAs in the future.