Prediction of the Higgs and Top Quark Masses by Discrete Dimensions Revisited
Main Article Content
Abstract
A new metric structure of the discretized Kaluza-Klein theory can give us new knowledge about extra-dimension . It can provide the new predictions of the top quark and Higgs mass that studied by Viet [15 , 16] in another model. Compare the results of two approaches we can see that the new model is more agreement with experimental data.
Keywords:
Higgs mass, top quark mass, discretized Kaluza-Klein theory, DKKT
References
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[2] O. Klein, Quantum theory and five-dimensional theory of relativity, 1926 Z. Phys. 37 (1987) 895.
[3] G. Landi, N.A. Viet, K.C. Wali, Gravity and electromagnetism in noncommutative geometry, Physics Letters B 326 (1-2) (1994) 45-50.
[4] N.A. Viet, K.C. Wali, A discretized version of Kaluza–Klein theory with torsion and massive fields, International Journal of Modern Physics A 11 (13) (1996) 2403-2418.
[5] N.A. Viet, K.C. Wali, Noncommutative geometry and a discretized version of Kaluza-Klein theory with a finite field content, International Journal of Modern Physics A. 11(3) (1996): 533-551.
[6] N.A. Viet, K.C. Wali, Chiral spinors and gauge fields in noncommutative curved space-time, Physical Review D, 67(12) (2003) 124029.
[7] N.A. Viet, P.T. Du, Non-Abelian gauge fields as components of gravity in the discretized Kaluza–Klein theory. Modern Physics Letters A. 32(18) (2017) 1750095.
[8] N.A. Viet, N.V. Dat, N.S. Han, K.C. Wali, Einstein-Yang-Mills-Dirac systems from the discretized Kaluza-Klein theory. Physical Review D. 95(3) (2017) 035030.
[9] N.A. Viet, Talk given at Rencontres du Vietnam on “Cosmology-50 year after CMB discovery”, Quy Nhon, Vietnam (2015).
[10] C. Deffayet, J. Mourad, Deconstruction of gravity, International Journal of Theoretical Physics, 44(10) (2015) 1743-1752.
[11] Alishahiha, Mohsen, (De) constructing dimensions and non-commutative geometry, Physics Letters B 517.3-4 (2001) 406-414.
[12] Arkani-Hamed, Nima, and Matthew D. Schwartz, Discrete gravitational dimensions, Physical Review D 69.10 (2004) 104001.
[13] A. Connes, J. Lott, Particle models and noncommutative geometry. Nucl. Phys. B, 18 (1991) 29-47.
[14] A.H. Chamseddine, G. Felder, J. Fröhlich, Gravity in non-commutative geometry. Communications in Mathematical Physics 155(1) (1993) 205-217.
[15] Nguyen Ai Viet, Predictions of noncommutative space-time, In: Talk given at. (1994) p. 0207-212.
[16] Nguyen Ai Viet, Discrete internal space and its visibility, Acta Physica Hungarica New Series Heavy Ion Physics 1.3-4 (1995) 263-272.
[17] Cheng, L.F. Li., Gauge theory of elementary particle physics, Clarendon Press, Oxford, 1984.
[18] Nguyen Ai Viet, Extra dimension of space-time exposed by anomalies at low energy, arXiv preprint arXiv:1907.04517 (2019).
[19] Tanabashi, Masaharu, et al, Review of particle physics, Physical Review D 98.3 (2018) 030001.
[2] O. Klein, Quantum theory and five-dimensional theory of relativity, 1926 Z. Phys. 37 (1987) 895.
[3] G. Landi, N.A. Viet, K.C. Wali, Gravity and electromagnetism in noncommutative geometry, Physics Letters B 326 (1-2) (1994) 45-50.
[4] N.A. Viet, K.C. Wali, A discretized version of Kaluza–Klein theory with torsion and massive fields, International Journal of Modern Physics A 11 (13) (1996) 2403-2418.
[5] N.A. Viet, K.C. Wali, Noncommutative geometry and a discretized version of Kaluza-Klein theory with a finite field content, International Journal of Modern Physics A. 11(3) (1996): 533-551.
[6] N.A. Viet, K.C. Wali, Chiral spinors and gauge fields in noncommutative curved space-time, Physical Review D, 67(12) (2003) 124029.
[7] N.A. Viet, P.T. Du, Non-Abelian gauge fields as components of gravity in the discretized Kaluza–Klein theory. Modern Physics Letters A. 32(18) (2017) 1750095.
[8] N.A. Viet, N.V. Dat, N.S. Han, K.C. Wali, Einstein-Yang-Mills-Dirac systems from the discretized Kaluza-Klein theory. Physical Review D. 95(3) (2017) 035030.
[9] N.A. Viet, Talk given at Rencontres du Vietnam on “Cosmology-50 year after CMB discovery”, Quy Nhon, Vietnam (2015).
[10] C. Deffayet, J. Mourad, Deconstruction of gravity, International Journal of Theoretical Physics, 44(10) (2015) 1743-1752.
[11] Alishahiha, Mohsen, (De) constructing dimensions and non-commutative geometry, Physics Letters B 517.3-4 (2001) 406-414.
[12] Arkani-Hamed, Nima, and Matthew D. Schwartz, Discrete gravitational dimensions, Physical Review D 69.10 (2004) 104001.
[13] A. Connes, J. Lott, Particle models and noncommutative geometry. Nucl. Phys. B, 18 (1991) 29-47.
[14] A.H. Chamseddine, G. Felder, J. Fröhlich, Gravity in non-commutative geometry. Communications in Mathematical Physics 155(1) (1993) 205-217.
[15] Nguyen Ai Viet, Predictions of noncommutative space-time, In: Talk given at. (1994) p. 0207-212.
[16] Nguyen Ai Viet, Discrete internal space and its visibility, Acta Physica Hungarica New Series Heavy Ion Physics 1.3-4 (1995) 263-272.
[17] Cheng, L.F. Li., Gauge theory of elementary particle physics, Clarendon Press, Oxford, 1984.
[18] Nguyen Ai Viet, Extra dimension of space-time exposed by anomalies at low energy, arXiv preprint arXiv:1907.04517 (2019).
[19] Tanabashi, Masaharu, et al, Review of particle physics, Physical Review D 98.3 (2018) 030001.