# Analyse:Mac/Fragment 013 04

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 Typus KomplettPlagiat Bearbeiter Graf Isolan Gesichtet
Untersuchte Arbeit:
Seite: 13, Zeilen: 4-21
Quelle: Thomsen 2007
Seite(n): 15, Zeilen: 18-35
As left- and right-handed fermions have different gauge transformations (see Section 2.1.5), there are two scalars for each fermion called sfermions. These sfermions form

together with the SM fermions chiral supermultiplets. The notation left or right refers to the SUSY-partner of a left- or right-handed fermion. The superpartner of the SM gauge bosons are spin 1/2 gauginos that also have two helicity states. These gauge-bosons and gauginos form a gauge or vector supermultiplet.

In the SM, baryon- and lepton-numbers are conserved because of gauge invariance. In supersymmetric theories it is possible to construct renormalizable operators that do not conserve these numbers, but are still consistent with SM gauge symmetries and supersymmetry. As the proton has a lifetime of more than 1033 years, terms that violate both baryon and lepton numbers have to be small. With the introduction of R-parity conservation these terms are excluded. R-parity is defined by:

R = (−1)3(B−L)+2S   (2.27)

where B and L are baryon- and lepton-numbers, respectively, and S is the spin. All SM particles have even R-parity, while their superpartners are R-odd. Therefore, there can be no mixing between SM particles and sparticles. Furthermore, the lightest supersymmetric particle (LSP) has to be stable, if R is conserved [13]. This is assumed for this analysis.

[13] D. I. Kazakov, “Beyond the standard model (in search of supersymmetry)”. 2000. hep-ph/0012288.

As left- and right-handed fermions have different gauge transformations, there are two scalars for each fermion called sfermions. These sfermions form together with the SM fermions chiral supermultiplets. The denotation left or right refers to the SUSY-partner of a left- or right-handed fermion. The superpartner of the SM gauge bosons are spin $\frac{1}{2}$ ”gauginos” that also have two helicity states. These gauge-bosons and gauginos form a gauge or vector supermultiplet.

In the SM, baryon- and lepton-numbers are conserved because of gauge invariance. In supersymmetric theories it is possible to construct renormalizable operators that do not conserve these numbers, but are still consistent with SM gauge symmetries and supersymmetry. As the proton has a lifetime of more than 1033 years [22], terms that violate both baryon and lepton numbers have to be small. With the introduction of R-parity conservation these terms are excluded. R-parity is defined by:

R = (−1)3(B−L)+2S   (3.3)

where B and L are baryon- and lepton-numbers, respectively, and S is the spin. All SM particles have even R-parity, while their superpartners are R-odd. Therefore, there can be no mixing between SM particles and sparticles. Furthermore, the lightest supersymmetric particle (LSP) has to be stable, if R is conserved. This is assumed for this analysis.

[22] B.V. Sreekantan. Searches for Proton Decay and Superheavy Magnetic Monopoles. Journal of Astrophysics and Astronomy (ISSN 0250-6335), 1984.

 Anmerkungen Ohne Hinweis auf eine Übernahme. Tatsächlich finden sich die aufgeführten Aussagen zur R-Parität in der angegebenen Quelle (dort S.29). Die Formulierungen stimmen aber wortwörtlich mit denen in Thomsen (2007) überein. Sichter (Graf Isolan)