Almost-commutative geometries beyond the standard model

We extend a classification of irreducible, almost-commutative geometries whose spectral action is dynamically non-degenerate, to internal algebras that have six simple summands. We find essentially four particle models: An extension of the standard model by a new species of fermions with vectorlike coupling to the gauge group and gauge invariant masses, two versions of the electro-strong model and a variety of the electro-strong model with Higgs mechanism. PACS-92: 11.15 Gauge field theories MSC-91: 81T13 Yang-Mills and other gauge theories 1 Privatgelehrter, Kiel (Germany) 2 christophstephan@gmx.de

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“…This model is very similar to the AC-model presented in [23] which contains two new particles of the X-type. For A = 1, E ≥ 2…”

Section: Diagrammentioning

confidence: 72%

“…The standard model gauge group appears as a subgroup of a larger gauge group since the X-particles are allowed to possess their own colour group. This new model is a smaller version of the already known AC-model [23] which has proven to provide for an interesting dark matter candidate [25].…”

Section: Discussionmentioning

confidence: 99%

On a classification of irreducible almost commutative geometries, a second helping

Jureit

Stephan

2005

Journal of Mathematical Physics

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“…We will choose it in such a way that the running couplings of the standard model plus vector doublets meet conditions (5) at a given energy scale Λ which is then identified with the cut-off scale. Furthermore we will repeat this analysis for the classical conditions (4).…”

Section: The Constraints On the Gauge Couplingsmentioning

confidence: 98%

“…A thorough presentation of this model containing the details of the construction of the spectral triple, the lift of the automorphisms, the Lagrangian and possible mass assignments, which could give viable dark matter candidates, can be found in [6]. Extensions of the standard model within the noncommutative framework are rare and only a few viable ones are known [19,5,6]. Therefore the vector doublet model is far from ad-hoc and its properties are quite remarkable.…”

Section: Vector Doubletsmentioning

confidence: 99%

Gauge unification in noncommutative geometry

Stephan

2008

Europhys. Lett.

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Gauge unification is widely considered to be a desirable feature for extensions of the standard model. Unfortunately the standard model itself does not exhibit a unification of its running gauge couplings but it is required by grand unified theories as well as the noncommutative version of the standard model [2].We will consider here the extension of the noncommutative standard model by vector doublets as proposed in [6]. Two consequences of this modification are: 1. the relations of the coupling constants at unification energy are altered with respect to the well known relation from grand unified theories. 2. The extended model allows for unification of the gauge couplings at Λ ∼ 10 13 GeV.PACS-92: 11.15 Gauge field theories MSC-91: 81T13 Yang-Mills and other gauge theories

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“…An observation of such particles would be a clear indication for physics beyond the Standard Model. Theoretical motivation is given by models of almost commutative geometry [5] and minimal walking technicolor [6] predicting stable multi-charged particles. For the Monte Carlo production, a simplified DrellYan model without Z boson exchange is used to generate generic particle pairs of mass 50 to 600 GeV with electric charges |q| = 2e to |q| = 6e.…”

Section: Introductionmentioning

confidence: 99%

Search for stable mutli-charged particles with the ATLAS experiment

Zimmermann

2013

EPJ Web of Conferences

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Abstract. A search for long-lived, multi-charged particles is performed using the ATLAS detector. We examine pp collision-data taken during the 2011 LHC running, corresponding to an integrated luminosity of 4.4 fb −1 . A search is made for charged particle tracks exhibiting anomalously high ionization consistent with stable massive particles with charges from |q| = 2e to |q| = 6e. For this search new variables of specific energy loss per path length (dE/dx) are developed and used in the candidate selection. No excess is observed with respect to the prediction of Standard Model processes. The 95% CL cross-section limits are interpreted as lower mass limits of 420-490 GeV for a simplified Drell-Yan production model. IntroductionA search for stable massive particles carrying electric charges in the range of |q| = 2e to |q| = 6e [1] is performed with the ATLAS detector [2] at the LHC [3]. Motivation for this analysis arises from an unexploited search regime for particles with charges |q| = 2e to |q| = 5e [4]. The high masses and hence low values of βγ as well as the multiple charges imply high energy losses through interactions with the detector material. Consequently, the analysis follows a signature-based approach seeking out charged particle tracks showing anomalously high ionization losses in three ATLAS subdetectors of the inner tracking detectors and the muon system. An observation of such particles would be a clear indication for physics beyond the Standard Model. Theoretical motivation is given by models of almost commutative geometry [5] and minimal walking technicolor [6] predicting stable multi-charged particles. For the Monte Carlo production, a simplified DrellYan model without Z boson exchange is used to generate generic particle pairs of mass 50 to 600 GeV with electric charges |q| = 2e to |q| = 6e. SelectionThe complete 2011 ATLAS dataset of proton-proton collisions recorded at √ s = 7 TeV is analyzed. Events are selected by a single muon trigger with p T > 18 GeV, which represents the lowest available p T threshold in 2011. The resulting data sample corresponds to an integrated luminosity of 4.4 fb −1 . The analysis selects central muon signatures with a transverse momentum of at least 20 GeV in the inner tracking detector. Furthermore, tracks are selected that are produced close to the primary vertex and have sufficient measurements in the inner tracking detectors. a e-mail: Simone.Zimmermann@cern.ch Energy loss estimatorsIn total, three different dE/dx measurements from two AT-LAS subdetectors in the inner detector, Pixel and TRT, and one in the muon system, MDT, are used in the analysis. The silicon Pixel detector is the innermost ATLAS subdetector and consists of ∼ 80 million pixels with the capability to measure directly the deposited charge in the detector. dE/dx is constructed from this charge measurement. The TRT and MDT are both gas detectors for which a dE/dx variable can be constructed from the direct detector readout. The TRT and MDT dE/dx variables are developed for this search. Signifi...

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Almost-commutative geometries beyond the standard model

Cited by 49 publications

References 12 publications

On a classification of irreducible almost commutative geometries, a second helping

On a classification of irreducible almost commutative geometries, a second helping

Gauge unification in noncommutative geometry

Search for stable mutli-charged particles with the ATLAS experiment

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