GENERATION PROBLEM AND <EM>SO</EM>(14) GRAND UNIFIED THEORIES

MA ZHONG-QI; DU DONG-SHENG; XUE PEI-YOU; ZHOU XIAN-JIAN

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2024年10月30日

Chinese Physics C> 1981, Vol. 5> Issue(6) : 664-681

GENERATION PROBLEM AND SO(14) GRAND UNIFIED THEORIES

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Abstract：
Three models of grand unified theory based on SO(14) gauge group are proposed. They can accommodate four generations of odinary fermions. Model A, where the charged weak currents of the fermions in the first and second generations are V-A and that of the fermions in the third and fourth generations are V + A, is a natural model from the point of view of structure of SO(14). In model B, we obtain the nice value of Weinberg angle: sin²θ_w=0.225 and the masses of W^± and the ordinary Z° are a factor 1.7 larger than those in SU(5) standard model. Model B predicts another neutral vector boson which couples with the fermions in the first two generations like a heavy photon with the mass of the order of 100 GeV. The coupling of τ—ν_r. in model B is V—A. All light fermions in model C have left-handed charged weak current. All these models can accommodate mass relations: m_α·m_μ～m_d·m_τ,m_μ～3m_s,m_r～m_b andgive the first Cabibbo angle sinθ₁= √m_d/m_s.

References

[1]

S. L. Glaehow, Nucl. Phys., 22(1961), 579; S. Weinberg, Phys. Rev. Lett., 19(1967);1284; A. 8alam. Proc. of the 8th Nobel Symposium, Stockholm 1968, ed, by N. Svartholm, p. 367.[2] J. C. Pati sad A. Salam, Phys. Rev. Lett., 31(1973), 661;H. Georgi and S. L. Glaehow, Phys. Rev. Lett., 32(1974), 438.;J. C. Pati and A. Salam, Phys. Rev., D10(1974), 275; H. Fritzech and P. Minkoweki, Ann. Phys., 93(1975), 193; Nucl. Phys., B103(1976), 61;H.(ieorgi, Particles and Fields, 1974 (APS/DPF Williameburg), ed. C. E. Carleon (AIP, New York, 1975), p. 575; S. L. Glashow, Harvard Preprint HUTP-77/A005 (1977);M. 8. Chano-wits, J. Ellis and M.K.Gaillard, Nucl. Phys., B128(1977), 506. There is an appendix; Tensor Formulation of S0(10).[3] Z. Q. Ma, T. S. Tu, P. Y. Xue and Z. W. Yue, BIHEP-TH-1, 1980.[4] Z. Q. Ma, T. S. Tu, P. Y. Xue and Z. W. Yue, BIHEP-TH-2, 1980.[5] H. Georgi, HUTP-79/A013 (1979);H. (Georgi, Nucl . Phys, B156 (1979 ) , 126;R. Barbieri and D. V. Nanopoulos, Ret. TH, 2810---CERN (1980).[6] J. Kirkby, Froc. of the 1979 International Symposium on Lepton and Photon Interaction at High Energies, Batavia, 1979, SLAC-PUB-2419.[7] J. Banks and H. Georgi, Phys. Rev., D14(1976), 1159; S. Okubo, Phys. Rev., D16(1977), 3528.[8] H. Georgi and D. V. Nanopoulos, Phys. Lett,82B(1979), 392.[9] K. C. Chou and C. S. Gao, SLAGPUB-2445, 1979.[10] D. P. Barber et al.,"The first year of Mark J at PETRA" (1980).[11] S. Weinberg, Phys. Rev., D7(1973), 1068.[12] H. Georgi, H. R. Quinn and S. Weinbererg, Phys. Rev. Lett., 33(1974), 451[13] M. Gell-Mann and F. E. Low, Phys. Rev., 95(1954), 1300; C. G. Callan, Phys. Rev..D2(1970), 1541.[14] L. Hall, HUTP-80/A024.

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MA ZHONG-QI, DU DONG-SHENG, XUE PEI-YOU and ZHOU XIAN-JIAN. GENERATION PROBLEM AND SO(14) GRAND UNIFIED THEORIES[J]. Chinese Physics C, 1981, 5(6): 664-681.

MA ZHONG-QI, DU DONG-SHENG, XUE PEI-YOU and ZHOU XIAN-JIAN. GENERATION PROBLEM AND SO(14) GRAND UNIFIED THEORIES[J]. Chinese Physics C, 1981, 5(6): 664-681. shu

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Received: 1980-08-13
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

GENERATION PROBLEM AND SO(14) GRAND UNIFIED THEORIES

Received Date: 1980-08-13
Accepted Date: 1900-01-01
Available Online: 1981-12-05

Abstract: Three models of grand unified theory based on SO(14) gauge group are proposed. They can accommodate four generations of odinary fermions. Model A, where the charged weak currents of the fermions in the first and second generations are V-A and that of the fermions in the third and fourth generations are V + A, is a natural model from the point of view of structure of SO(14). In model B, we obtain the nice value of Weinberg angle: sin²θ_w=0.225 and the masses of W^± and the ordinary Z° are a factor 1.7 larger than those in SU(5) standard model. Model B predicts another neutral vector boson which couples with the fermions in the first two generations like a heavy photon with the mass of the order of 100 GeV. The coupling of τ—ν_r. in model B is V—A. All light fermions in model C have left-handed charged weak current. All these models can accommodate mass relations: m_α·m_μ～m_d·m_τ,m_μ～3m_s,m_r～m_b andgive the first Cabibbo angle sinθ₁= √m_d/m_s.