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Weak isospin information


In particle physics, weak isospin is a quantum number relating to the electrically charged part of the weak interaction: Particles with half-integer weak isospin can interact with the
W±
bosons; particles with zero weak isospin do not. Weak isospin is a construct parallel to the idea of isospin under the strong interaction. Weak isospin is usually given the symbol T or I, with the third component written as T3 or I3.T3 is more important than T; typically "weak isospin" is used as short form of the proper term "3rd component of weak isospin". It can be understood as the eigenvalue of a charge operator.

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Weak isospin

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particles with zero weak isospin do not. Weak isospin is a construct parallel to the idea of isospin under the strong interaction. Weak isospin is usually given...

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Isospin

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physics and particle physics, isospin (I) is a quantum number related to the up- and down quark content of the particle. Isospin is also known as isobaric...

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Weak interaction

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weak interaction, weak isospin is conserved: The sum of the weak isospin numbers of the particles entering the interaction equals the sum of the weak...

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Weak hypercharge

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particle physics, the weak hypercharge is a quantum number relating the electric charge and the third component of weak isospin. It is frequently denoted...

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W and Z bosons

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{\displaystyle \,T_{3}\,} is the third component of the weak isospin of the fermion (the "charge" for the weak force), Q {\displaystyle \,Q\,} is the electric...

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Higgs boson

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two electrically charged components that form a complex doublet of the weak isospin SU(2) symmetry. Its "Sombrero potential" leads it to take a nonzero value...

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Electroweak interaction

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changing the dynamics of the system. These fields are the weak isospin fields W1, W2, and W3, and the weak hypercharge field B. This invariance is known as electroweak...

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Mathematical formulation of the Standard Model

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weak isospin SU(2) transformations the left-handed particles are weak-isospin doublets, whereas the right-handed are singlets – i.e. the weak isospin...

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Weak charge

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quantities, such as weak isospin, weak hypercharge, or the vector coupling of a fermion to the Z boson (i.e. the coupling strength of weak neutral currents)...

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Neutrino

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distinguished from neutrinos by having opposite-signed lepton number and weak isospin, and right-handed instead of left-handed chirality. To conserve total...

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Lepton

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fields of the weak isospin SU(2) and the weak hypercharge U(1) symmetries to three massive vector bosons ( W+ , W− , Z0 ) mediating the weak interaction...

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Hypercharge

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accounts for properties of isospin, electric charge, and flavour. The hypercharge is useful to classify hadrons; the similarly named weak hypercharge has an analogous...

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Baryon number

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not only electric charge, but also charges such as color charge and weak isospin. Because of a phenomenon known as color confinement, a hadron cannot...

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X and Y bosons

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between a color index and the weak isospin-up index, while Y bosons rotate between a color index and the weak isospin-down index. B − L Grand unification...

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Top quark

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reflecting the fact that the two were the "up" and "down" component of a weak isospin doublet. The proposal of Kobayashi and Maskawa heavily relied on the...

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Standard Model

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also carry electric charge and weak isospin, and thus interact with other fermions through electromagnetism and weak interaction. The six leptons consist...

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Sterile neutrino

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active neutrinos in the Standard Model, which carry an isospin charge of ±+1/ 2  and engage in the weak interaction. The term typically refers to neutrinos...

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Grand Unified Theory

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the right-handed down-type quark color triplet and a left-handed lepton isospin doublet, while the 10 contains the six up-type quark components, the left-handed...

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Weinberg angle

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angle can be expressed in terms of the SU(2)L and U(1)Y couplings (weak isospin g and weak hypercharge g′, respectively), cos⁡θw=g  g2+g′ 2  {\displaystyle...

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Lepton number

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the leptons involved, following the convention in use for the sign of weak isospin and the sign of strangeness quantum number (for quarks), both of which...

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Seesaw mechanism

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In particular, since χ ∈ L has weak isospin 1⁄2 like the Higgs field H, and η {\displaystyle \eta } has weak isospin 0, the mass parameter M can be generated...

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Charged current

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involves a transfer of electric charge (as well as a transfer of weak isospin, while weak hypercharge is not transferred), it is known as “charged current”...

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Conservation law

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(violated by the weak interaction) Conservation of strangeness (violated by the weak interaction) Conservation of space-parity (violated by the weak interaction)...

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Neutral current

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is determined by a derived quantum number called weak charge, which acts similarly to weak isospin for interactions with the W bosons. The neutral current...

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Bottom quark

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the bottom quark can decay into either an up quark or charm quark via the weak interaction. CKM matrix elements Vub and Vcb specify the rates, where both...

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Higgs mechanism

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called isospin), which is a scalar under Lorentz transformations. Its electric charge is zero; its weak isospin is 1/2 and the third component of weak isospin...

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Strangeness

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in second-order weak reactions, where there are mixes of K0 and K0 mesons. All in all, the amount of strangeness can change in a weak interaction reaction...

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