Chapter

Flavor physics and lattice quantum chromodynamics

Laurent Lellouch

in Modern Perspectives in Lattice QCD: Quantum Field Theory and High Performance Computing

Published in print August 2011 | ISBN: 9780199691609
Published online January 2012 | e-ISBN: 9780191731792 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199691609.003.0011

Series: Lecture Notes of the Les Houches Summer School

Flavor physics and lattice quantum chromodynamics

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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

Chapter.  33430 words.  Illustrated.

Subjects: Mathematical and Statistical Physics

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