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Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance ComputingLecture Notes of the Les Houches Summer School: Volume 93, August 2009$
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Laurent Lellouch, Rainer Sommer, Benjamin Svetitsky, Anastassios Vladikas, and Leticia F. Cugliandolo

Print publication date: 2011

Print ISBN-13: 9780199691609

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780199691609.001.0001

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Flavor physics and lattice quantum chromodynamics

Flavor physics and lattice quantum chromodynamics

(p.629) 11 Flavor physics and lattice quantum chromodynamics
Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Laurent Lellouch

Oxford University Press

The course begins with an introduction to the Standard Model, viewed as an effective theory. Experimental and theoretical limits on the scales at which New Physics can appear, as well as current constraints on quark flavor parameters, are reviewed. The role of lattice QCD in obtaining these constraints is described. A second section is devoted to explaining the Cabibbo-Kobayashi-Maskawa mechanism for quark flavor mixing and CP violation, and to detailing its most salient features. The third section is dedicated to the lattice QCD study of K ??? decays. It comprises discussions of indirect CP violation through K 0- antiK 0 mixing, the ? I=1/2 rule and direct CP violation, including final state interactions. It presents the lattice QCD tools required to describe these phenomena. Even though the lattice study of these decays originated in the mid-eighties, the consistency of the Standard Model with the beautiful experimental determinations of direct CP violation in K ??? decays remains an important goal for the new generation of lattice QCD practitioners.

Keywords:   Lattice QCD, weak mixing of quark flavors, CP violation, Cabibbo-Kobayashi-Maskawa matrix, weak decays of kaons

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