# Higher extended technicolor representations and fermion generations

Bidragets oversatte titel: Study of an Alternate Mechanism for the Origin of Fermion Generations

Thomas Ryttov, Robert Shrock

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

### Resumé

In usual extended technicolor (ETC) theories based on the group ${\rm{SU}(N_{ETC}})_{ETC}$, the quarks of charge 2/3 and -1/3 and the charged leptons of all generations arise from ETC fermion multiplets transforming according to the fundamental representation. Here we investigate a different idea for the origin of SM fermion generations, in which quarks and charged leptons of different generations arise from ETC fermions transforming according to different representations of ${\rm{SU}(N_{ETC}})_{ETC}$. Although this mechanism would have the potential, {\it a priori}, to allow a reduction in the value of $N_{ETC}$ relative to conventional ETC models, we show that, at least in simple models, it is excluded by the fact that the technicolor sector is not asymptotically free or by the appearance of fermions with exotic quantum numbers which are not observed.
Originalsprog Engelsk Eur.Phys.J.C https://doi.org/10.1140/epjc/s10052-010-1523-z Udgivet - 20. maj 2010 Ja

### Citer dette

@article{85beea6a85384558803e409143e58e33,
title = "Higher extended technicolor representations and fermion generations",
abstract = "In usual extended technicolor (ETC) theories based on the group ${\rm{SU}(N_{ETC}})_{ETC}$, the quarks of charge 2/3 and -1/3 and the charged leptons of all generations arise from ETC fermion multiplets transforming according to the fundamental representation. Here we investigate a different idea for the origin of SM fermion generations, in which quarks and charged leptons of different generations arise from ETC fermions transforming according to different representations of ${\rm{SU}(N_{ETC}})_{ETC}$. Although this mechanism would have the potential, {\it a priori}, to allow a reduction in the value of $N_{ETC}$ relative to conventional ETC models, we show that, at least in simple models, it is excluded by the fact that the technicolor sector is not asymptotically free or by the appearance of fermions with exotic quantum numbers which are not observed.",
keywords = "hep-ph, hep-th",
author = "Thomas Ryttov and Robert Shrock",
note = "6 pages, latex",
year = "2010",
month = "5",
day = "20",
doi = "10.1140/epjc/s10052-010-1523-z",
language = "English",
journal = "Eur.Phys.J.C",

}

I: Eur.Phys.J.C, 20.05.2010.

Publikation: Bidrag til tidsskriftTidsskriftartikelForskningpeer review

TY - JOUR

T1 - Higher extended technicolor representations and fermion generations

AU - Ryttov, Thomas

AU - Shrock, Robert

N1 - 6 pages, latex

PY - 2010/5/20

Y1 - 2010/5/20

N2 - In usual extended technicolor (ETC) theories based on the group ${\rm{SU}(N_{ETC}})_{ETC}$, the quarks of charge 2/3 and -1/3 and the charged leptons of all generations arise from ETC fermion multiplets transforming according to the fundamental representation. Here we investigate a different idea for the origin of SM fermion generations, in which quarks and charged leptons of different generations arise from ETC fermions transforming according to different representations of ${\rm{SU}(N_{ETC}})_{ETC}$. Although this mechanism would have the potential, {\it a priori}, to allow a reduction in the value of $N_{ETC}$ relative to conventional ETC models, we show that, at least in simple models, it is excluded by the fact that the technicolor sector is not asymptotically free or by the appearance of fermions with exotic quantum numbers which are not observed.

AB - In usual extended technicolor (ETC) theories based on the group ${\rm{SU}(N_{ETC}})_{ETC}$, the quarks of charge 2/3 and -1/3 and the charged leptons of all generations arise from ETC fermion multiplets transforming according to the fundamental representation. Here we investigate a different idea for the origin of SM fermion generations, in which quarks and charged leptons of different generations arise from ETC fermions transforming according to different representations of ${\rm{SU}(N_{ETC}})_{ETC}$. Although this mechanism would have the potential, {\it a priori}, to allow a reduction in the value of $N_{ETC}$ relative to conventional ETC models, we show that, at least in simple models, it is excluded by the fact that the technicolor sector is not asymptotically free or by the appearance of fermions with exotic quantum numbers which are not observed.

KW - hep-ph

KW - hep-th

U2 - 10.1140/epjc/s10052-010-1523-z

DO - 10.1140/epjc/s10052-010-1523-z

M3 - Journal article

JO - Eur.Phys.J.C

JF - Eur.Phys.J.C

ER -