Higgs mass, superconnections, and the TeV-scale left-right symmetric model
Abstract
We discuss the physical implications of formulating the Standard Model (SM) in terms of the superconnection formalism involving the superalgebra su(2/1). In particular, we discuss the prediction of the Higgs mass according to the formalism and point out that it is ~170 GeV, in clear disagreement with experiment. To remedy this problem, we extend the formalism to the superalgebra su(2/2), which extends the SM to the left-right symmetric model (LRSM) and accommodates a ~126 GeV Higgs. Both the SM in the su(2/1) case and the LRSM in the su(2/2) case are argued to emerge at ~4 TeV from an underlying theory in which the spacetime geometry is modified by the addition of a discrete extra dimension. The formulation of the exterior derivative in this model space suggests a deep connection between the modified geometry, which can be described in the language of non-commutative geometry (NCG), and the spontaneous breaking of the gauge symmetries. The implication is that spontaneous symmetry breaking could actually be geometric/quantum gravitational in nature. The non-decoupling phenomenon seen in the Higgs sector can then be reinterpreted in a new light as due to the mixing of low energy (SM) physics and high energy physics associated with quantummore »
- Authors:
-
- Uppsala Univ. (Sweden)
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States); Univ. of Tokyo, Chiba-ken (Japan)
- Publication Date:
- Research Org.:
- Virginia Polytechnic Inst. and State Univ. (Virginia Tech), Blacksburg, VA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP)
- OSTI Identifier:
- 1594428
- Alternate Identifier(s):
- OSTI ID: 1180281
- Grant/Contract Number:
- SC0009973; FG02-13ER41917
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 91; Journal Issue: 4; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Aydemir, Ufuk, Minic, Djordje, Sun, Chen, and Takeuchi, Tatsu. Higgs mass, superconnections, and the TeV-scale left-right symmetric model. United States: N. p., 2015.
Web. doi:10.1103/PhysRevD.91.045020.
Aydemir, Ufuk, Minic, Djordje, Sun, Chen, & Takeuchi, Tatsu. Higgs mass, superconnections, and the TeV-scale left-right symmetric model. United States. https://doi.org/10.1103/PhysRevD.91.045020
Aydemir, Ufuk, Minic, Djordje, Sun, Chen, and Takeuchi, Tatsu. Sun .
"Higgs mass, superconnections, and the TeV-scale left-right symmetric model". United States. https://doi.org/10.1103/PhysRevD.91.045020. https://www.osti.gov/servlets/purl/1594428.
@article{osti_1594428,
title = {Higgs mass, superconnections, and the TeV-scale left-right symmetric model},
author = {Aydemir, Ufuk and Minic, Djordje and Sun, Chen and Takeuchi, Tatsu},
abstractNote = {We discuss the physical implications of formulating the Standard Model (SM) in terms of the superconnection formalism involving the superalgebra su(2/1). In particular, we discuss the prediction of the Higgs mass according to the formalism and point out that it is ~170 GeV, in clear disagreement with experiment. To remedy this problem, we extend the formalism to the superalgebra su(2/2), which extends the SM to the left-right symmetric model (LRSM) and accommodates a ~126 GeV Higgs. Both the SM in the su(2/1) case and the LRSM in the su(2/2) case are argued to emerge at ~4 TeV from an underlying theory in which the spacetime geometry is modified by the addition of a discrete extra dimension. The formulation of the exterior derivative in this model space suggests a deep connection between the modified geometry, which can be described in the language of non-commutative geometry (NCG), and the spontaneous breaking of the gauge symmetries. The implication is that spontaneous symmetry breaking could actually be geometric/quantum gravitational in nature. The non-decoupling phenomenon seen in the Higgs sector can then be reinterpreted in a new light as due to the mixing of low energy (SM) physics and high energy physics associated with quantum gravity, such as string theory. In conclusion, the phenomenology of a TeV scale LRSM is also discussed, and we argue that some exciting discoveries may await us at the LHC, and other near-future experiments.},
doi = {10.1103/PhysRevD.91.045020},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 4,
volume = 91,
place = {United States},
year = {Sun Feb 15 00:00:00 EST 2015},
month = {Sun Feb 15 00:00:00 EST 2015}
}
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