论文标题

晶格QCD的状态确定核子形态及其与少数GEV Neutrino程序的相关性

Status of Lattice QCD Determination of Nucleon Form Factors and their Relevance for the Few-GeV Neutrino Program

论文作者

Meyer, Aaron S., Walker-Loud, André, Wilkinson, Callum

论文摘要

中微子核横截面的计算始于中微子核子的相互作用,使后者对旗舰中微子振荡实验至关重要,尽管统计数据较差,但尽管测量有限。或者,晶格QCD(LQCD)可用于通过可量化的理论不确定性从标准模型中确定这些相互作用。 $ g _ {\ mathrm {a}} $的最新LQCD结果与数据非常吻合,并且预计(Quasi-)弹性核子形式的结果具有完全不确定性预算的预算。我们回顾了核子轴向外形的现场状态和LQCD结果,$ f _ {\ mathrm {a}}}(q^2)$,这是建模子GEV中微子 - 核核互动的主要不确定性。来自不同LQCD计算的结果是一致的,但总体上不同意现有模型,对当前和将来的中微子振荡实验产生了潜在影响。我们描述了一个路线图,以巩固对LQCD结果的信心,并讨论对更复杂过程的未来计算,这对于几个GEV中微子振荡实验很重要。

Calculations of neutrino-nucleus cross sections begin with the neutrino-nucleon interaction, making the latter critically important to flagship neutrino oscillation experiments, despite limited measurements with poor statistics. Alternatively, lattice QCD (LQCD) can be used to determine these interactions from the Standard Model with quantifiable theoretical uncertainties. Recent LQCD results of $g_{\mathrm{A}}$ are in excellent agreement with data, and results for the (quasi-)elastic nucleon form factors with full uncertainty budgets are expected within a few years. We review the status of the field and LQCD results for the nucleon axial form factor, $F_{\mathrm{A}}(Q^2)$, a major source of uncertainty in modeling sub-GeV neutrino-nucleon interactions. Results from different LQCD calculations are consistent, but collectively disagree with existing models, with potential implications for current and future neutrino oscillation experiments. We describe a road map to solidify confidence in the LQCD results and discuss future calculations of more complicated processes, important to few-GeV neutrino oscillation experiments.

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