By Yorikiyo Nagashima

The e-book is an up-to-the-minute and finished paintings overlaying the newest particle physics experiments and learn linking including the normal version thought and beyond. mixed with quantity 1 (ISBN: 978-3-527-40962-4), it is a should have source for researchers in floor established and astroparticle physics.

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**Extra info for Elementary Particle Physics: Foundations of the Standard Model V2**

**Example text**

The whole expression satisﬁes the SU(2) U(1) gauge symmetry manifestly. It is important to remember that both the gauge and the Higgs sectors are constructed to respect the gauge symmetry separately. The last term of Eq. 16) referred to as the Yukawa interaction was added to generate fermion masses. 18) 7 8 1 The Standard Model The case that this term is also SU(2) U(1) invariant can be illustrated as follows. Because we constructed the Higgs ﬁeld as belonging to the I D 1/2 doublet, and the product with another isospin doublet ΨL , then (Φ † ΨL ) is therefore isospin rotation invariant.

V(Φ ) is the self-interacting potential of the Higgs ﬁeld. The whole expression satisﬁes the SU(2) U(1) gauge symmetry manifestly. It is important to remember that both the gauge and the Higgs sectors are constructed to respect the gauge symmetry separately. The last term of Eq. 16) referred to as the Yukawa interaction was added to generate fermion masses. 18) 7 8 1 The Standard Model The case that this term is also SU(2) U(1) invariant can be illustrated as follows. Because we constructed the Higgs ﬁeld as belonging to the I D 1/2 doublet, and the product with another isospin doublet ΨL , then (Φ † ΨL ) is therefore isospin rotation invariant.

Building blocks of matter are quarks and leptons. 2. Their interactions are described in the mathematical framework of the gauge ﬁeld theory. 3. The vacuum is in a sort of superconducting phase. This chapter gives a simple introduction to axioms of the electroweak theory and prepares tools for calculating cross sections at least at the tree level. For understanding the physical (or rather geometrical) picture of the gauge theory, we refer the reader to Vol. 1, Chapt. 18. Starting from the fundamental Lagrangian based on a gauge symmetry and applying spontaneous symmetry breaking, one obtains a Lagrangian which is more relevant for describing observed phenomena and which can provide associated Feynman rules.