论文标题
$ΔS= 0 $ HADRONIC PRIS违规的QCD分析
QCD Analysis of $ΔS=0$ Hadronic Parity Violation
论文作者
论文摘要
我们提供了在HADRONIC能量尺度上进行有效的弱汉密尔顿的QCD分析，以实现陌生 - 非链式（$ΔS= 0 $）的望子。从$ W $到$ {\ cal o}（2 \，\ rm GEV）$能量量表，在QCD中执行领先的重新归一化组分析，我们得出了有关违规的有效的哈密顿式的有效的哈密顿式侵犯，包括中性和带电弱的弱潮流的影响。我们首次计算所有同构体的完整重新归一化组演变和通过重味阈值的演变。我们表明，从QCD操作员混合效果的$ W $质量表中输入以下的其他四夸克运算符形成了封闭式集合，并导致$ 12 \ times 12 $异常的尺寸矩阵。计算产生的有效哈密顿量并与早期结果进行比较，我们肯定了操作员混合效应的重要性，并发现，使用分解ANSATZ和对lattice QCD中的核子QCD中的Quark Chard ot the Quark Charge的评估，使用ANSATZ的分解和评估2 GEV QCD的QCD QCD的相关Quark电荷的评估，与2 GEV量表一致性，是在最近的实验中，是在lattice QCD中的相关Quark电荷的评估。
We present a QCD analysis of the effective weak Hamiltonian at hadronic energy scales for strangeness-nonchanging ($ΔS=0$) hadronic processes. Performing a leading-order renormalization group analysis in QCD from the $W$ to the ${\cal O}(2\,\rm GeV)$ energy scale, we derive the pertinent effective Hamiltonian for hadronic parity violation, including the effects of both neutral and charged weak currents. We compute the complete renormalization group evolution of all isosectors and the evolution through heavy-flavor thresholds for the first time. We show that the additional four-quark operators that enter below the $W$ mass scale from QCD operator mixing effects form a closed set, and they result in a $12\times 12$ anomalous dimension matrix. Computing the resulting effective Hamiltonian and comparing to earlier results, we affirm the importance of operator mixing effects and find, as an example, that the parity-violating pion-nucleon coupling constant, using the factorization Ansatz and an assessment of the pertinent quark charge of the nucleon in lattice QCD at the 2 GeV scale, is in better agreement with recent experiments.
