标题： 弱哈密顿量，CP破坏和稀有衰变 显示英文标题

标题： Weak Hamiltonian, CP Violation and Rare Decays

摘要： 这些讲座详细描述了通过算符乘积展开和重整化群方法构造的介子弱衰变的有效哈密顿量。 我们计算局部算符的威尔逊系数，讨论在重整化下的算符混合、算符的反常维数和反常维数矩阵。 我们详细阐述了重整化方案和重整化尺度依赖性及其在物理振幅中的抵消。 特别是我们讨论了D维空间中的gamma-5问题以及退化算符在计算两环反常维数中的作用。 我们给出了涉及当前-当前算符和QCD-penguin算符的6×6单环反常维数矩阵的显式计算，并给出了一些如何正确计算这些算符的两环反常维数的提示。 在这些讲座的现象学部分，我们详细讨论了：CKM矩阵、单位三角形及其确定、两体非轻子B衰变和广义因子化、epsilonprime/epsilon比值、B到X_s gamma、K^+到pi^+ nu bar nu、K_L到pi^0 nu bar nu、B到X_s nu bar nu、B_s到mu bar mu以及B衰变中CP破坏的一些方面。 显示英文摘要

摘要： These lectures describe in detail the effective Hamiltonians for weak decays of mesons constructed by means of the operator product expansion and the renormalization group method. We calculate Wilson coeffcients of local operators, discuss mixing of operators under renormalization, the anomalous dimensions of operators and anomalous dimension matrices. We elaborate on the renormalzation scheme and renormalization scale dependences and their cancellations in physical amplitudes. In particular we discuss the issue of gamma-5 in D-dimensions and the role of evanescent operators in the calculation of two-loop anomalous dimensions. We present an explicit calculation of the 6 times 6 one-loop anomalous dimension matrix involving current-current and QCD-penguin operators and we give some hints how to properly calculate two-loop anomalous dimensions of these operators. In the phenonomenological part of these lectures we discuss in detail: CKM matrix, the unitarity triangle and its determination, two-body non-leptonic B-decays and the generalized factorization, the ratio epsilonprime/epsilon, B to X_s gamma, K^+ to pi^+ nu barnu, K_L to pi^0 nu barnu, B to X_s nu barnu, B_s to mu bar mu and some aspects of CP violation in B-decays.