Tube lemma

From formulasearchengine
Revision as of 20:43, 15 November 2013 by en>Dfeuer (There is currently only one proof here.)
Jump to navigation Jump to search

In particle physics, a sfermion is the spin-0 superpartner particle (or sparticle) of its associated fermion. In supersymmetric extensions to the Standard Model (SM) each particle has a superpartner with spin that differs by Template:Frac. Fermions in the SM have [[spin-1/2|spin-Template:Frac]] and therefore sfermions have spin 0.

In general the name sfermions is formed by prefixing an 's' to the name of its superpartner, denoting that it is a scalar particle with spin 0. For instance, the electron's superpartner is the selectron and the top quark's superpartner is the stop squark.

One corollary from supersymmetry is that sparticles have the same gauge numbers as their SM partners. This means that sparticle–particle pairs have the same color charge, weak isospin charge, and hypercharge (and consequently electric charge). Unbroken supersymmetry also implies that sparticle–particle pairs have the same mass. This is evidently not the case, since these sparticles would have already been detected. Thus, sparticles must have different masses from the particle partners and supersymmetry is said to be broken.

Fundamental sfermions

Squarks

Squarks are the superpartners of quarks. These include the sup squark, sdown squark, scharm squark, sstrange squark, stop squark, and sbottom squark.

Squarks
Squark Symbol Associated quark Symbol
First generation
Sup squark u~ Up quark u
Sdown squark d~ Down quark d
Second generation
Scharm squark c~ Charm quark c
Sstrange squark s~ Strange quark s
Third generation
Stop squark t~ Top quark t
Sbottom squark b~ Bottom quark b

Sleptons

Sleptons are the superpartners of leptons. These include the selectron, smuon, stau, and the sneutrinos.

Sleptons
Slepton Symbol Associated lepton Symbol
First generation
Selectron e~ Electron e
Selectron sneutrino ν~e Electron neutrino νe
Second generation
Smuon μ~ Muon μ
Smuon sneutrino ν~μ Muon neutrino νμ
Third generation
Stau τ~ Tau τ
Stau sneutrino ν~τ Tau neutrino ντ

See also

References

Template:Particles

Template:Particle-stub