Weak Hamiltonian, CP Violation and Rare Decays

1998/06/24 by Andrzej J. Buras, Buras, Andrzej J. · 52 citations
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-ph

paper · pdf · doi:10.48550/arxiv.hep-ph/9806471

Les Houches Lectures, to appear in ``Probing the Standard Model of Particle Interactions", F. David and R. Gupta, eds, Elsevier Science B.V. ; 250 pages, 35 figures, 4 latex files

arxiv created 1998/06/24 · openalex publication_date 1998/06/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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 pi⁰ nu barnu, B to X_s nu barnu, B_s to mu bar mu and some aspects of CP violation in B-decays.

Citations

• Introduction to Gauge Field Theory

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Related

• CP Violation and Rare Decays of K and B Mesons
• Lectures on B Physics and CP Violation
• CP violation in meson decays
• Flavour Physics and CP Violation
• Phenomenological aspects of CP violation