论文标题
Electroweak Hamiltonian的梯度流程配方
The gradient flow formulation of the electroweak Hamiltonian
论文作者
论文摘要
通常在Electroweak Hamiltonian的帮助下计算出风味的观测值，该杂志将短途距离与长距离制度分开。威尔逊系数是扰动计算的，而操作员的矩阵元素则需要用于许多过程的非扰动处理，例如通过晶格模拟。在两个计算中，计算不同重新规定方案之间转换的必要性构成了不确定性的重要来源。梯度流式形式主义提供了一种优雅的解决方案，该梯度流量已在晶格模拟中广泛使用，因为其复合算子不需要重新归一化。在这项贡献中，我们报告了通过QCD中NNLO在梯度流形式主义中构建Electroweak Hamiltonian的构建。
Flavor observables are usually computed with the help of the electroweak Hamiltonian which separates the short-distance from the long-distance regime. The Wilson coefficients are calculated perturbatively, while matrix elements of the operators require non-perturbative treatment for many processes, e.g. through lattice simulations. The resulting necessity to compute the transformation between the different renormalization schemes in the two calculations constitutes an important source of uncertainties. An elegant solution to this problem is provided by the gradient-flow formalism, already widely used in lattice simulations, because its composite operators do not require renormalization. In this contribution we report on the construction of the electroweak Hamiltonian in the gradient-flow formalism through NNLO in QCD.
