Standard Model of particle physics
Elementary particles of the Standard Model
Background Particle physics Standard Model Quantum field theory Gauge theory Spontaneous symmetry breaking Higgs mechanism
Constituents Electroweak interaction Quantum chromodynamics CKM matrix Standard Model mathematics
Limitations Strong CP problem Hierarchy problem Neutrino oscillations Physics beyond the Standard Model
Scientists Rutherford Thomson Chadwick Bose Sudarshan Davis Jr Anderson Fermi Dirac Feynman Rubbia Gell-Mann Kendall Taylor Friedman Powell Anderson Glashow Iliopoulos Lederman Maiani Meer Cowan Nambu Chamberlain Cabibbo Schwartz Perl Majorana Weinberg Lee Ward Salam Kobayashi Maskawa Mills Yang Yukawa 't Hooft Veltman Gross Pais Pauli Politzer Reines Schwinger Wilczek Cronin Fitch Vleck Higgs Englert Brout Hagen Guralnik Kibble de Mayolo Lattes Zweig

Charged current interactions are one of the ways in which subatomic particles can interact by means of the weak force. These interactions are mediated by the
W⁺
and
W⁻
bosons.

In simple terms

The simplest Feynman diagram for beta decay. It contains a charged current interaction at each vertex.

Charged current interactions are the most easily detected class of weak interactions. The weak force is best known for mediating nuclear decay. It has very short range, but is the only force (apart from gravity) to interact with neutrinos. The weak force is communicated via the W and Z exchange particles. Of these, the W-boson has either a positive or negative electric charge, and mediates neutrino absorption and emission by or with an electrically charged particle. During these processes, the W-boson induces electron or positron emission or absorption, or changing the flavour of a quark as well as its electrical charge, such as in beta decay or K-capture.^[1]

By contrast, the Z particle is electrically neutral, and exchange of a Z-boson leaves the interacting particles’ quantum numbers unaffected, except for a transfer of momentum, spin, and energy.

Because exchange of W bosons 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”. By contrast, exchanges of Z bosons involve no transfer of electrical charge, so it is referred to as a “neutral current”. In the latter case, the word “current” has nothing to do with electricity – it simply refers to the Z bosons’ movement between other particles.

Definition

The name 'charged current' arises due to currents of fermions coupled to the W bosons having electric charge. For example, the charged current contribution to the
ν
_e
e⁻
→
ν
_e
e⁻
elastic scattering amplitude is:^[2]

${\displaystyle {\mathfrak {M}}^{\mathrm {CC} }\propto J_{\mu }^{\mathrm {(CC)} }(\mathrm {e^{-}} \to \nu _{\mathrm {e} })\;J^{\mathrm {(CC)} \mu }(\nu _{\mathrm {e} }\to \mathrm {e^{-}} ),}$

where the charged currents describing the flow of one fermion into the other are given by:^[2]

${\displaystyle J^{\mathrm {(CC)\mu } }(f\to f')={\bar {u}}_{f'}\gamma ^{\mu }{\frac {1}{2}}\left(1-\gamma ^{5}\right)u_{f}.}$

The W-Boson can couple to any particle with weak isospin (i.e. any left-handed Standard Model fermions).^{[Note 1]}

See also

• Neutral current
• W and Z bosons

Notes

References