Weak Hamiltonian, CP Violation and Rare Decays
Abstract
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 gamma5 in Ddimensions and the role of evanescent operators in the calculation of twoloop anomalous dimensions. We present an explicit calculation of the 6 times 6 oneloop anomalous dimension matrix involving currentcurrent and QCDpenguin operators and we give some hints how to properly calculate twoloop anomalous dimensions of these operators. In the phenonomenological part of these lectures we discuss in detail: CKM matrix, the unitarity triangle and its determination, twobody nonleptonic Bdecays 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 Bdecays.
 Publication:

arXiv eprints
 Pub Date:
 June 1998
 DOI:
 10.48550/arXiv.hepph/9806471
 arXiv:
 arXiv:hepph/9806471
 Bibcode:
 1998hep.ph....6471B
 Keywords:

 High Energy Physics  Phenomenology
 EPrint:
 Les Houches Lectures, to appear in ``Probing the Standard Model of Particle Interactions", F. David and R. Gupta, eds, Elsevier Science B.V.