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Lattice determinations of the strong coupling
Physics Reports ( IF 23.9 ) Pub Date : 2021-04-01 , DOI: 10.1016/j.physrep.2021.03.005
Luigi Del Debbio , Alberto Ramos

Lattice QCD has reached a mature status. State of the art lattice computations include u,d,s (and even the c) sea quark effects, together with an estimate of electromagnetic and isospin breaking corrections for hadronic observables. This precise and first principles description of the standard model at low energies allows the determination of multiple quantities that are essential inputs for phenomenology and not accessible to perturbation theory.

One of the fundamental parameters that are determined from simulations of lattice QCD is the strong coupling constant, which plays a central role in the quest for precision at the LHC. Lattice calculations currently provide its best determinations, and will play a central role in future phenomenological studies. For this reason we believe that it is timely to provide a pedagogical introduction to the lattice determinations of the strong coupling. Rather than analysing individual studies, the emphasis will be on the methodologies and the systematic errors that arise in these determinations. We hope that these notes will help lattice practitioners, and QCD phenomenologists at large, by providing a self-contained introduction to the methodology and the possible sources of systematic error.

The limiting factors in the determination of the strong coupling turn out to be different from the ones that limit other lattice precision observables. We hope to collect enough information here to allow the reader to appreciate the challenges that arise in order to improve further our knowledge of a quantity that is crucial for LHC phenomenology.



中文翻译:

强耦合的晶格测定

Lattice QCD 已经达到了成熟的状态。最先进的格计算包括,d, (甚至 C) 海夸克效应,以及对强子观测的电磁和同位旋破坏校正的估计。这种对低能量标准模型的精确和第一性原理描述允许确定多个数量,这些数量是现象学的基本输入并且无法用于微扰理论。

由晶格 QCD 模拟确定的基本参数之一是强耦合常数,它在 LHC 追求精度方面起着核心作用。晶格计算目前提供了最好的决定,并将在未来的现象学研究中发挥核心作用。出于这个原因,我们认为现在对强耦合的晶格确定进行教学介绍是及时的。重点不是分析个别研究,而是这些确定中出现的方法和系统错误。我们希望这些注释通过对方法论和系统误差的可能来源进行独立介绍,从而帮助格子从业者和广大 QCD 现象学家。

确定强耦合的限制因素与限制其他晶格精度可观测量的因素不同。我们希望在这里收集足够的信息,让读者能够理解出现的挑战,以进一步提高我们对 LHC 现象学至关重要的数量的知识。

更新日期:2021-06-09
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