A string model with SU(4) × O(4) × [Sp(4)]hidden gauge symmetry

Leontaris, G.K.

doi:10.1016/0370-2693(96)00059-7

Cited by 32 publications

(10 citation statements)

References 74 publications

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“…In this section, we shall show that the glueball DM is very natural among composite DM scenarios [241][242][243][244][245]251,253,266, and dark gauge theories. The assumption of the existence of dark gauge sectors is indeed a reasonable answer to the problem of the ad hoc gauge group of the SM, since they may naturally arise in many contexts such as in string or grand unification theories [236,237,245,[255][256][257][258][259][260][261][262][263][264][265][266]. Here, we do not discuss their origin but rather the constraint on the dark gauge sector that could be imposed assuming the naturalness.…”

Section: Naturalness Of Dark Yang-mills Theorymentioning

confidence: 99%

“…In this context, an additional Yang-Mills theory (YMT), which does not or very weakly interacts with the SM particles, is an attractive candidate, since the lightest particle of the spectrum is a glueball , fulfilling the conditions required for being DM [236][237][238][239][240][241][242][243][244][245][246][247][248][249][250][251][252][253][254]. This "dark" YMT may naturally be generated in grand unification frameworks [236,237,245,[255][256][257][258][259][260][261][262][263][264][265][266], and it is possible to experimentally detect them by observing the gravitational wave background [246,[267][268][269][270][271][272][273][274][275][276][277]...…”

Section: Introductionmentioning

confidence: 99%

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Glueball scattering cross section in lattice SU(2) Yang-Mills theory

et al. 2020

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We calculate the scattering cross section between two 0 þþ glueballs in SUð2Þ Yang-Mills theory on a lattice at β ¼ 2.1, 2.2, 2.3, 2.4, and 2.5 using the indirect (HAL QCD) method. We employ the clusterdecomposition error reduction technique and use all space-time symmetries to improve the signal. In the use of the HAL QCD method, the centrifugal force was subtracted to remove the systematic effect due to the nonzero angular momenta of lattice discretization. From the extracted interglueball potential, we determine the low energy glueball effective theory by matching with the one-glueball exchange process. We then calculate the scattering phase shift and derive the relation between the interglueball cross section and the scale parameter Λ as σ ϕϕ ¼ ð2-51ÞΛ −2 (stat þ sys). From the observational constraints of galactic collisions, we obtain the lower bound of the scale parameter as Λ > 60 MeV. We also discuss the naturalness of the Yang-Mills theory as the theory explaining dark matter.

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Section: Naturalness Of Dark Yang-mills Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Glueball scattering cross section in lattice SU(2) Yang-Mills theory

et al. 2020

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“…Another set of three families and three anti-families arise from the untwisted sector. The hidden sector consists of nine 8-plets under each SO (8). In addition there exist a number of non-Abelian gauge group singlets.…”

Section: A Three Generation E 6 Modelmentioning

confidence: 99%

Classification of the chiral Z2×Z2 fermionic models in the heterotic superstring

et al. 2004

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The first particle physics observable whose origin may be sought in string theory is the triple replication of the matter generations. The class of Z 2 × Z 2 orbifolds of six dimensional compactified tori, that have been most widely studied in the free fermionic formulation, correlate the family triplication with the existence of three twisted sectors in this class. In this work we seek an improved understanding of the geometrical origin of the three generation free fermionic models. Using fermionic and orbifold techniques we classify the Z 2 × Z 2 orbifold with symmetric shifts on six dimensional compactified internal manifolds. We show that perturbative three generation models are not obtained in the case of Z 2 × Z 2 orbifolds with symmetric shifts on complex tori, and that the perturbative three generation models in this class necessarily employ an asymmetric shift. We present a class of three generation models in which the SO(10) gauge symmetry cannot be broken perturbatively, while preserving the Standard Model matter content. We discuss the potential implications of the asymmetric shift for strong-weak coupling duality and moduli stabilization. We show that the freedom in the modular invariant phases in the N = 1 vacua that control the chiral content, can be interpreted as vacuum expectation values of background fields of the underlying N = 4 theory, whose dynamical components are projected out by the Z 2 -fermionic projections. In this class of vacua the chiral content of the models is determined by the underlying N = 4 mother theory.

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“…However, the problem doesn't exist either if these states become massive at a high scale of the order of the heterotic string scale or if they become integrally charged modifying the hypercharge generator. Also, the problem can be solved constructing models containing a hidden gauge group [22] forcing the fractional charged states to form bound states [23]. Under the symmetry breaking (3) the following decompositions take place :…”

Section: Description Of the Modelmentioning

confidence: 99%

Running neutrino masses and mixing in a SU(4)×SU(2)²× U(1)_Xmodel

Psallidas¹

2006

J. Phys.: Conf. Ser.

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In this talk, we discuss the implications of the renormalization group equations for the neutrino masses and mixing angles in a supersymmetric string-inspired SU(4)×SU(2)L×SU(2)R×U(1)X model with matter in fundamental and antisymmetric tensor representations only. The quark, charged lepton and neutrino Yukawa matrices are distinguished by different Clebsch-Gordan coefficients due to contracting over SU(4) and SU(2)R indices. In order to permit for a more realistic, hierarchical light neutrino mass spectrum with bi-large mixing a second U (1)X breaking singlet with fractional charge is introduced. By numerical investigation we find a region in the model parameter space where the neutrino mass-squared differences and mixing angles at low energy are consistent with experimental data.

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A string model with SU(4) × O(4) × [Sp(4)]hidden gauge symmetry

Cited by 32 publications

References 74 publications

Glueball scattering cross section in lattice SU(2) Yang-Mills theory

Glueball scattering cross section in lattice SU(2) Yang-Mills theory

Classification of the chiral Z2×Z2 fermionic models in the heterotic superstring

Running neutrino masses and mixing in a SU(4)×SU(2)²× U(1)_Xmodel

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A string model with SU(4) × O(4) × [Sp(4)]hidden gauge symmetry

Cited by 32 publications

References 74 publications

Glueball scattering cross section in lattice SU(2) Yang-Mills theory

Glueball scattering cross section in lattice SU(2) Yang-Mills theory

Classification of the chiral Z2×Z2 fermionic models in the heterotic superstring

Running neutrino masses and mixing in a SU(4)×SU(2)2× U(1)Xmodel

Contact Info

Product

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Running neutrino masses and mixing in a SU(4)×SU(2)²× U(1)_Xmodel