LaMET中重子准分布振幅因式分解的幂次修正研究
Towards power corrections in the factorization of baryon quasi-distribution amplitudes in LaMET
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中文总结 AI 辅助
本研究针对领头扭度重子准分布振幅，推导了含全阶靶质量修正的闭式关系，评估了Λ重子准分布振幅的幂次修正，为格点确定重子LCDAs量化幂次修正奠定基础。
中文摘要 AI 辅助
光锥分布振幅（LCDAs）是精确唯象研究的关键，可通过大动量有效理论（LaMET）从格点量子色动力学（格点QCD）中借助准分布振幅（quasi-DAs）获取。准分布振幅的因式分解会收到强子动量倒数的幂次修正，包括靶质量修正和高扭度修正。本研究首次对领头扭度重子准分布振幅的这类幂次修正进行系统分析，通过建立准分布振幅与光锥分布振幅的矩关系，推导得出领头扭度下可全阶重求和靶质量修正的精确闭式关系，该结果也适用于重重子和准横动量依赖分布。利用现有格点数据对Λ重子准分布振幅的这些修正进行数值评估，发现靶质量修正随重子动量增大迅速减小，在端点区域几乎可忽略；此外，还明确构建了准分布振幅因式分解中涉及的次领头扭度算符。本研究结果为未来格点确定轻或重重子LCDAs时量化幂次修正迈出了第一步。
英文摘要
Light-cone distribution amplitudes (LCDAs) are essential to precision phenomenological studies. They can be accessed from lattice QCD through the large-momentum effective theory (LaMET) via quasi-distribution amplitudes (quasi-DAs). Factorization of quasi-DAs receive power corrections in inverse powers of the hadron momentum, including target-mass and higher-twist corrections. In this work, we present the first systematic analysis of such power corrections for the leading-twist baryon quasi-DA. Establishing the moment relation between the quasi-DA and the LCDA, we derive an exact closed-form relation that resums target-mass correction to all orders at leading twist. This result also applies to heavy baryons and to quasi-transverse-momentum-dependent distributions. We numerically assess these corrections for the $Λ$ baryon quasi-DA using existing lattice data, finding that the target-mass correction decreases rapidly with increasing baryon momentum and is almost negligible in the endpoint regions. In addition, we explicitly construct the next-to-leading-twist operators entering the quasi-DA factorization. Our results are a first step toward quantifying the power corrections in future lattice determinations of light or heavy baryon LCDAs.
发表机构
- School of Physics, East China University of Science and Technology（华东理工大学物理学院）
- College of Physics and Electronic Engineering, Hainan Normal University（海南师范大学物理与电子工程学院）
- State Key Laboratory of Dark Matter Physics, Key Laboratory for Particle Astrophysics and Cosmology (MOE), Shanghai Key Laboratory for Particle Physics and Cosmology, School of Physics and Astronomy, Shanghai Jiao Tong University（上海交通大学物理与天文学院暗物质物理全国重点实验室粒子天体物理与宇宙学教育部重点实验室上海粒子物理与宇宙学重点实验室）
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