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15 - One Generation of Leptons and Quarks

from Part II - Construction of The Standard Model

Published online by Cambridge University Press:  06 February 2025

Wolfgang Bietenholz
Affiliation:
Universidad Nacional Autónoma de México
Uwe-Jens Wiese
Affiliation:
Universität Bern, Switzerland
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Summary

This chapter introduces the first fermion generation. We begin with the electron and the left-handed neutrino, their CP invariance as well as anomalies in triangle diagrams and Witten’s global SU(2) anomaly. They are both canceled by adding up and down quarks. We discuss the constraints that anomaly cancelation imposes on the electric charges of the fermions. Finally we also add a right-handed neutrino, extend the anomaly discussion to the lepton and baryon numbers, and further extend the model by proceeding to technicolor.

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Publisher: Cambridge University Press
Print publication year: 2025

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