*Laurent Lellouch*

- Published in print:
- 2011
- Published Online:
- January 2012
- ISBN:
- 9780199691609
- eISBN:
- 9780191731792
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199691609.003.0011
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

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 ...
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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.Less

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.

*G. Barr, R. Devenish, R. Walczak, and T. Weidberg*

- Published in print:
- 2016
- Published Online:
- March 2016
- ISBN:
- 9780198748557
- eISBN:
- 9780191811203
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198748557.003.0007
- Subject:
- Physics, Particle Physics / Astrophysics / Cosmology

This chapter starts with a recap of both the weak interaction model from Fermi’s theory of beta decay (with no spin) and the pictorial way of understanding interactions using Feynman diagrams. An ...
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This chapter starts with a recap of both the weak interaction model from Fermi’s theory of beta decay (with no spin) and the pictorial way of understanding interactions using Feynman diagrams. An introduction is given to both this use of Feynman diagrams and the formal method of calculating matrix elements with Feynman rules. The weak interaction is then considered using the Dirac equation to include spin-half fermion effects, using the decay of the tau lepton as an example. Weak interactions with quarks, including Cabibbo mixing, the Glashow–Iliopoulos–Maiani (GIM) mechanism, and the Cabibbo–Kobayashi–Maskawa (CKM) matrix, are then covered. The chapter then gives a step-by-step approach to the unification of the electromagnetic and weak forces in the Glashow–Salam–Weinberg (GSW) model of electroweak unification, leading to the predictions of the Standard Model on the properties of the weak neutral current and to the existence of W and Z bosons.Less

This chapter starts with a recap of both the weak interaction model from Fermi’s theory of beta decay (with no spin) and the pictorial way of understanding interactions using Feynman diagrams. An introduction is given to both this use of Feynman diagrams and the formal method of calculating matrix elements with Feynman rules. The weak interaction is then considered using the Dirac equation to include spin-half fermion effects, using the decay of the tau lepton as an example. Weak interactions with quarks, including Cabibbo mixing, the Glashow–Iliopoulos–Maiani (GIM) mechanism, and the Cabibbo–Kobayashi–Maskawa (CKM) matrix, are then covered. The chapter then gives a step-by-step approach to the unification of the electromagnetic and weak forces in the Glashow–Salam–Weinberg (GSW) model of electroweak unification, leading to the predictions of the Standard Model on the properties of the weak neutral current and to the existence of *W* and *Z* bosons.