Higgs mass, superconnections, and the TeV-scale left-right symmetric model

被引：19

作者：

Aydemir, Ufuk ^{[1
]}

Minic, Djordje ^{[2
]}

Sun, Chen ^{[2
]}

Takeuchi, Tatsu ^{[2
,3
]}

机构：

[1] Uppsala Univ, Dept Phys & Astron, S-75120 Uppsala, Sweden

[2] Virginia Tech, Dept Phys, Blacksburg, VA 24061 USA

[3] Univ Tokyo, Kavli Inst Phys & Math Universe WPI, Kashiwa, Chiba 2778583, Japan

来源：

PHYSICAL REVIEW D | 2015年 / 91卷 / 04期

关键词：

ELECTRIC-DIPOLE MOMENT; NONCOMMUTATIVE DIFFERENTIAL GEOMETRY; WEINBERG-SALAM THEORY; GRADED LIE-ALGEBRAS; DOUBLE-BETA DECAY; CP VIOLATION; GAUGE-THEORY; INTERNAL SUPERSYMMETRY; ELECTROWEAK THEORY; STANDARD MODEL;

D O I：

10.1103/PhysRevD.91.045020

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 similar to 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 similar to 126 GeV Higgs boson. Both the SM in the su(2/1) case and the LRSM in the su(2/2) case are argued to emerge at similar to 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 noncommutative geometry, and the spontaneous breaking of the gauge symmetries. The implication is that spontaneous symmetry breaking could actually be geometric/quantum gravitational in nature. The nondecoupling 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. 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.

引用

页数：40

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