Color embeddings, charge assignments, and proton stability in unified gauge theories

Gell‐Mann, Murray; Ramond, Pierre; Slansky, R.

doi:10.1103/revmodphys.50.721

Cited by 345 publications

(131 citation statements)

References 65 publications

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“…This means that I (−) 6,6 is an independent invariant, but the square and all higher powers of I (−) 6,6 are not. The square of the CP -odd invariant I (−) 6,6 is CP -even, and can be written as a polynomial (with 241 terms out of a possible 305 terms) in the CP -even invariants of eq.…”

Section: Jhep10(2009)094mentioning

confidence: 99%

“…Rephasing invariance also exists for the lepton mixing matrix. In a previous paper [5], we extended the analysis of rephasing invariants to give a complete classification of these invariants for the Standard Model, and for the seesaw model [6].…”

Section: Jhep10(2009)094mentioning

confidence: 99%

“…Multiplying by A and taking the trace implies 6) so that A n , n ≥ 3 can be written in terms of A and A 2 . Thus, there are two independent invariants, I 2,0 = X U and I 4,0 = X U 2 , which can be constructed from X U alone.…”

Section: Jhep10(2009)094mentioning

confidence: 99%

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Algebraic structure of lepton and quark flavor invariants andCPviolation

Jenkins

Manohar

2009

J. High Energy Phys.

132

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Lepton and quark flavor invariants are studied, both in the Standard Model with a dimension five Majorana neutrino mass operator, and in the seesaw model. The ring of invariants in the lepton sector is highly non-trivial, with non-linear relations among the basic invariants. The invariants are classified for the Standard Model with two and three generations, and for the seesaw model with two generations, and the Hilbert series is computed. The seesaw model with three generations proved computationally too difficult for a complete solution. We give an invariant definition of the CP -violating angle θ in the electroweak sector.

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Section: Jhep10(2009)094mentioning

confidence: 99%

Section: Jhep10(2009)094mentioning

confidence: 99%

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Algebraic structure of lepton and quark flavor invariants andCPviolation

Jenkins

Manohar

2009

J. High Energy Phys.

132

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“…The search is mostly sensitive to the gluino-mediated production of third generation squarks. Results are interpreted in the framework of various simplified models in which scalar bottoms and tops are the only squarks that appear in the gluino decay cascade, and in specific grand unification theories (GUTs) based on the gauge group SO (10) [19,20]. The GUT group SO(10) is especially compelling since it allows for gauge and matter unification.…”

Section: Introductionmentioning

confidence: 99%

Search for supersymmetry inppcollisions ats=7 TeVin final states with missing transverse momentum and
Aad¹,
Abbott²,
Abdallah³
et al. 2012
Phys. Rev. D

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The results of a search for supersymmetry in events with large missing transverse momentum and heavy-flavor jets using an integrated luminosity corresponding to 2:05 fb À1 of pp collisions at ffiffi ffi s p ¼7 TeV recorded with the ATLAS detector at the Large Hadron Collider are reported. No significant excess is observed with respect to the prediction for standard model processes. Results are interpreted in a variety of R-parity conserving models in which scalar bottoms and tops are the only scalar quarks to appear in the gluino decay cascade, and in an SO(10) model framework. Gluino masses up to 600-900 GeV are excluded, depending on the model considered.

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“…not only have these theories passed many phenomena 1 ogi ca 1 tests (for recent reviews, see [ 5 ,6J), but they possess general properties, such as renormalizabil ity [7 ,sJ and asymptotic freedom [9,10], which many theorists find attractive. Thus, it is not surprising that there have been many attempts [11-26~ to construct a grand unified gauge theory of elementary particle interactions, in which only the role of gravitation is at present uncertain (for attempts to include gravitation, see (27] and the works cited therein).…”

Section: Introductionmentioning

confidence: 99%

Asymptotic freedom constraints on grand unified gauge theories

Vaughn

1979

Z. Phys. C - Particles and Fields

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Constraints on the fermion and Higgs scalar content of grand unified gauge theories, imposed by the requirement of asymptotic freedom for the gauge couplings, are derived for models which have fermion representations with only color singlets and color triplets. The constraint nf ~ 16 on the number nf of flavors of color triplet quarks in pure QCD is removed. Definitive limits are placed on the representation content of theories based on the exceptional groups.-2 -

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Color embeddings, charge assignments, and proton stability in unified gauge theories

Cited by 345 publications

References 65 publications

Algebraic structure of lepton and quark flavor invariants andCPviolation

Algebraic structure of lepton and quark flavor invariants andCPviolation

Search for supersymmetry inppcollisions ats=7 TeVin final states with missing transverse momentum and
Aad¹,
Abbott²,
Abdallah³
et al. 2012
Phys. Rev. D

Asymptotic freedom constraints on grand unified gauge theories

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Color embeddings, charge assignments, and proton stability in unified gauge theories

Cited by 345 publications

References 65 publications

Algebraic structure of lepton and quark flavor invariants andCPviolation

Algebraic structure of lepton and quark flavor invariants andCPviolation

Search for supersymmetry inppcollisions ats=7 TeVin final states with missing transverse momentum andAad1, Abbott2, Abdallah3 et al. 2012Phys. Rev. D

Asymptotic freedom constraints on grand unified gauge theories

Contact Info

Product

Resources

About

Search for supersymmetry inppcollisions ats=7 TeVin final states with missing transverse momentum and
Aad¹,
Abbott²,
Abdallah³
et al. 2012
Phys. Rev. D