Electroweak Interactions: 1st Edition (Hardback) book cover

Electroweak Interactions

1st Edition

By Luciano Maiani

CRC Press

198 pages | 34 B/W Illus.

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pub: 2015-12-18
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Description

Get First-Hand Insight from a Contributor to the Standard Model of Particle Physics

Written by an award-winning former director-general of CERN and one of the world’s leading experts on particle physics, Electroweak Interactions explores the concepts that led to unification of the weak and electromagnetic interactions. It provides the fundamental elements of the theory of compact Lie groups and their representations, enabling a basic understanding of the role of flavor symmetry in particle physics.

Understand Conceptual Elements of the Theory of Elementary Particles

The book begins with the identification of the weak hadronic current with the isotopic spin current, Yang–Mills theory, and the first electroweak theory of Glashow. It discusses spontaneous breaking of a global symmetry and a local symmetry, covering the Goldstone theorem, Brout–Englert–Higgs mechanism, and the theory of Weinberg and Salam. The author then describes the theory of quarks, quark mixing, the Cabibbo angle, the Glashow–Iliopoulos–Maiani (GIM) mechanism, the theory of Kobayashi and Maskawa, six quark flavors, and CP violation.

Delve into Experimental Tests and Unresolved Problems

The author goes on to explore some phenomenological topics, such as neutral current interactions of neutrinos and CP violation in the neutral K-meson system. He also highlights how flavor-changing neutral current processes have emerged as probes to reveal the presence of new phenomena at energies not yet accessible with particle accelerators. The book concludes with an explanation of the expected properties of the Higgs boson and the methods adopted for its search. The predictions are also compared with relevant experimental results.

View the author’s first book in this collection: Relativistic Quantum Mechanics: An Introduction to Relativistic Quantum Fields.

Reviews

"Maiani’s book Electroweak Interactions provides the essential information for a graduate student who wishes to learn about the electroweak sector of the standard model. The treatment, by one the key contributors to the field, is focused, physical, and authoritative."

—R. Keith Ellis, Director, Institute for Particle Physics Phenomenology, Durham University

"This book offers an excellent introduction to the theory of elementary particles with particular emphasis on the electroweak sector. It will be immensely useful to students, both experimentalists and theorists. It is also a book that every teacher of particle physics will absolutely need.

When we teach the subject, we often make the mistake to start from the formal aspects of gauge theories, Lie algebras, or differential geometry. They are important and necessary, but we forget that the student does not always understand why we need all this heavy artillery. This book, in fact this series because the present volume is part of a trilogy, starts the other way around: it introduces the physical principles and the phenomenological facts that point unambiguously to the introduction of the formal aspects of field theory. They will be the subject of the following volume. In the present book, experimentalists will find everything they need to know and theorists will understand why they also need to read the following volume.

A book for every particle physicist."

—John Iliopoulos, Ecole Normale Supérieure, Paris

"Electroweak Interactions by Luciano Maiani is an elegantly written graduate-level textbook, reviewing the unification of the weak and electromagnetic interactions that constitute the Standard Model of particle physics. Addressed to students familiar with relativistic quantum mechanics, it is also an excellent reference for active high energy physics (HEP) theorists and experimentalists, as well as teachers. It reconstructs a path that began with the connection between nuclear isospin and weak currents and ends with predictions for the properties of the Higgs boson, including comparisons with the most recent measurements being carried out in LHC experiments. Written by a major player in the field, this book is a must in a HEP library, both private and public."

—Arturo Menchaca-Rocha, FinstP, Professor of Physics, Mexico’s National Autonomous University, ALICE-CERN and AMS Collaborations Member, Former President of the Mexican Academy of Sciences, Presidential Advisor

Table of Contents

THE GENERAL PICTURE

INTRODUCTION

THE FORCES OF NATURE

ISOTOPIC SPIN AND STRANGENESS

THE PION NUCLEON AMPLITUDE

ISOSPIN AND WEAK CURRENTS

SU(3) SYMMETRY

YANG–MILLS THEORY

NONCOMMUTATIVE LOCAL SYMMETRIES

THE MINIMAL LAGRANGIAN

ELECTROWEAK UNIFICATION I

SYMMETRIES OF THE ELECTRON DOUBLET

THE MINIMAL GAUGE GROUP

THE GLASHOW THEORY

SPONTANEOUS SYMMETRY BREAKING

THE GOLDSTONE MODEL

SPECTRUM OF FLUCTUATIONS FOR μ2 < 0

GOLDSTONE’S THEOREM

THE BROUT–ENGLERT–HIGGS MECHANISM

MASSES OF VECTOR PARTICLES IN THE UNITARY GAUGE

THE MASSIVE VECTOR FIELD

ELECTROWEAK UNIFICATION II

THE THEORY OF WEINBERG AND SALAM

THE SCALAR DOUBLET

THE MASSES OF THE VECTOR FIELDS

THE MASS OF THE ELECTRON

THE MASS OF THE NEUTRINO

DETERMINATION OF THE NEUTRAL LEPTON CURRENT

CROSS SECTIONS OF THE PROCESSES νμ − e, ¯νμ − e

THE FUNDAMENTAL CONSTANTS

LEPTONIC WIDTH OF THE Z

RELATIVISTIC BREIT WIGNER FORMULA

THE PHYSICS OF THE Z IN THE REACTION e+ e−

QUARKS IN THREE COLORS

THE SAKATA MODEL

THE EIGHTFOLD WAY AND QUARKS

QUARK COLORS

QUANTUM CHROMODYNAMICS (QCD)

THEORY OF QUARK MIXING

THE CABIBBO THEORY

THE GLASHOW, ILIOPOULOS, AND MAIANI MECHANISM

CP VIOLATION AND THE KOBAYASHI MASKAWA THEORY

ELECTROWEAK INTERACTIONS OF QUARKS

ORIGIN OF THE MASSES AND MIXING BETWEEN QUARKS

THE CABIBBO KOBAYASHI MASKAWA MATRIX

THE Z AND W DECAY WIDTHS

THE STANDARD MODEL LAGRANGIAN

DIGRESSION: VIOLATION OF ISOTOPIC SPIN

GOLDSTONE BOSONS IN SU(3)L ⊗ SU(3)R

PIONS AND KAONS AS "QUASI" GOLDSTONE BOSONS

THE VIOLATION OF ISOTOPIC SPIN

MIXING and CP VIOLATION IN THE NEUTRAL K, B, and D MESONS

MIXING AND CP VIOLATION IN THE K0 − ¯K 0 SYSTEM

MIXING OF THE NEUTRAL B AND D MESONS

FLAVOR-CHANGING NEUTRAL CURRENTS

THE ¯K 0 → K0 AMPLITUDE

EFFECTIVE LAGRANGIAN, COLOR FACTOR, VACUUM SATURATION

THE AMPLITUDES ¯B0D→ B0D , ¯B0S− B0S, and ¯D0 → D0

NUMERICAL ANALYSIS AND COMPARISON WITH DATA

THE SEARCH FOR THE HIGGS BOSON

INTERACTIONS OF THE HIGGS BOSON

SEARCHES AT e+e− and PROTON COLLIDERS

THE 125 GEV PARTICLE

Appendix A: Kallen Lehman representation of the two Point function

Appendix B: A useful decomposition for finite dimensional matrices

Appendix C: Continuous groups and their representations

About the Author

Luciano Maiani is Emeritus Professor of Theoretical Physics at the University of Rome, La Sapienza. He is a member of the Italian Lincean Academy, a fellow of the American Physical Society, and author of more than 200 scientific publications on the theoretical physics of elementary particles. He has been president of the Italian Institute for Nuclear Physics (INFN), president of the Italian National Council for Research (CNR), and director-general of the European Organization for Nuclear Research (CERN), where he directed the crucial phases of the construction of the Large Hadron Collider (LHC). Together with S. Glashow and J. Iliopoulos, he predicted the charm quark, which forms an essential part of the unified theory of the weak and electromagnetic forces.

Subject Categories

BISAC Subject Codes/Headings:
SCI051000
SCIENCE / Nuclear Physics
SCI055000
SCIENCE / Physics
SCI057000
SCIENCE / Quantum Theory