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In [[particle physics]], a '''sfermion''' is the [[spin (physics)|spin]]-0 [[superpartner|superpartner particle]] (or ''sparticle'') of its associated [[fermion]]. In [[supersymmetry|supersymmetric]] extensions to the [[Standard Model]] (SM) each particle has a superpartner with spin that differs by {{frac|1|2}}. Fermions in the SM have [[spin-1/2|spin-{{frac|1|2}}]] 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 boson|'''s'''calar particle]] with spin 0. For instance, the [[electron]]'s superpartner is the [[selectron (particle)|selectron]] and the [[top quark]]'s superpartner is the [[stop squark]].
 
One corollary from supersymmetry is that sparticles have the same [[gauge theory|gauge number]]s as their SM partners. This means that sparticle&ndash;particle pairs have the same [[color charge]], [[weak isospin]] charge, and [[hypercharge]] (and consequently [[electric charge]]). Unbroken supersymmetry also implies that sparticle&ndash;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 [[quark]]s. These include the sup squark, sdown squark, scharm squark, sstrange squark, [[stop squark]], and sbottom squark.
{|class=wikitable style="text-align:center;"
|+Squarks
|-
!Squark
!Symbol
!Associated quark
!Symbol
|-
|colspan="4"|'''''First generation'''''
|-
| Sup squark
| <math>\tilde{u}</math>
| [[Up quark]]
| <math>u</math>
|-
| Sdown squark
| <math>\tilde{d}</math>
| [[Down quark]]
| <math>d</math>
|-
|colspan="4"|'''''Second generation'''''
|-
| Scharm squark
| <math>\tilde{c}</math>
| [[Charm quark]]
| <math>c</math>
|-
| Sstrange squark
| <math>\tilde{s}</math>
| [[Strange quark]]
| <math>s</math>
|-
|colspan="4"|'''''Third generation'''''
|-
| [[Stop squark]]
| <math>\tilde{t}</math>
| [[Top quark]]
| <math>t</math>
|-
| Sbottom squark
| <math>\tilde{b}</math>
| [[Bottom quark]]
| <math>b</math>
|-
|}
 
===Sleptons===
Sleptons are the superpartners of [[lepton]]s. These include the selectron, smuon, stau, and the sneutrinos.
 
{|class=wikitable style="text-align:center;"
|+Sleptons
|-
!Slepton
!Symbol
!Associated lepton
!Symbol
|-
|colspan="4"|'''''First generation'''''
|-
| Selectron
| <math>\tilde{e}</math>
| [[Electron]]
| <math>e</math>
|-
| Selectron sneutrino
| <math>\tilde{\nu}_e</math>
| [[Electron neutrino]]
| <math>\nu_e</math>
|-
|colspan="4"|'''''Second generation'''''
|-
| Smuon
| <math>\tilde{\mu}</math>
| [[Muon]]
| <math>\mu</math>
|-
| Smuon sneutrino
| <math>\tilde{\nu}_\mu</math>
| [[Muon neutrino]]
| <math>\nu_\mu</math>
|-
|colspan="4"|'''''Third generation'''''
|-
| Stau
| <math>\tilde{\tau}</math>
| [[Tau (particle)|Tau]]
| <math>\tau</math>
|-
| Stau sneutrino
| <math>\tilde{\nu}_\tau</math>
| [[Tau neutrino]]
| <math>\nu_\tau</math>
|-
|}
 
==See also==
*[[Minimal Supersymmetric Standard Model]] (MSSM)
 
== References ==
*{{cite arxiv
|last=Martin |first=Stephen, P.
|year=2011
|title=A Supersymmetry Primer
|class=hep-ph
|eprint=hep-ph/9709356
}}
 
{{Particles}}
 
[[Category:Bosons]]
[[Category:Supersymmetry]]
[[Category:Hypothetical elementary particles]]
 
{{Particle-stub}}

Revision as of 20:43, 15 November 2013

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