The standard model on non-commutative space-time: electroweak currents and the Higgs sector

Strong theoretical arguments suggest that the Higgs sector of the standard model of electroweak interactions is an effective low-energy theory, with a more fundamental theory expected to emerge at an energy scale of the order of a teraelectronvolt. One possibility is that the more fundamental theory is strongly interacting and the Higgs sector is given by the low-energy dynamics of the underlying theory. I review recent works aimed at determining observable quantities by numerical simulations of strongly interacting theories proposed in the literature to explain the electroweak symmetry-breaking mechanism. These investigations are based on Monte Carlo simulations of the theory formulated on a space–time lattice. I focus on the so-called minimal walking technicolour scenario, an SU(2) gauge theory with two flavours of fermions in the adjoint representation. The emerging picture is that this theory has an infrared fixed point that dominates the large-distance physics. I shall discuss the first numerical determinations of quantities of phenomenological interest for this theory and analyse future directions of quantitative studies of strongly interacting theories beyond the standard model with lattice techniques. In particular, I report on a finite size scaling determination of the chiral condensate anomalous dimension γ , for which 0.05≤ γ ≤0.25.

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THE HIGGS SECTOR ON A TWO-SHEETED SPACE–TIME

International Journal of Modern Physics A ◽

10.1142/s0217751x06033210 ◽

2006 ◽

Vol 21 (22) ◽

pp. 4519-4541 ◽

Cited By ~ 2

Author(s):

COSMIN MACESANU ◽

KAMESHWAR C. WALI

Keyword(s):

Standard Model ◽

Higgs Sector ◽

Space Time ◽

Symmetric Model ◽

The Standard Model ◽

Klein Theory ◽

Left And Right ◽

Higgs Fields ◽

General Gauge ◽

Kaluza Klein

We present a general formalism based on the framework of noncommutative geometry, suitable to the study of the standard model of electroweak interactions, as well as that of more general gauge theories. Left- and right-handed chiral fields are assigned to two different sheets of space–time (a discretized version of Kaluza–Klein theory). Scalar Higgs fields find themselves treated on the same footing as the gauge fields, resulting in spontaneous symmetry breaking in a natural and predictable way. As a first test, we apply the formalism to the Standard Model, where one can predict the Higgs mass and the top Yukawa coupling. The results obtained for this case are similar with results obtained in alternate formulations. We then study the left–right symmetric model, where we show that this framework imposes interesting constraints on the type and coefficients of terms appearing in the Higgs potential.

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The standard model on non-commutative space-time: strong interactions included

The European Physical Journal C ◽

10.1140/epjc/s2005-02301-3 ◽

2005 ◽

Vol 42 (4) ◽

pp. 499-504 ◽

Cited By ~ 51

Author(s):

B. Melić ◽

K. Passek-Kumerički ◽

J. Trampetić ◽

P. Schupp ◽

M. Wohlgenannt

Keyword(s):

Standard Model ◽

Space Time ◽

Strong Interactions ◽

The Standard Model ◽

Commutative Space

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An Interview with the Physicist that Her Head in the Universe and Both Feet on the Earth

10.31227/osf.io/mfv4e ◽

2019 ◽

Author(s):

Adib Rifqi Setiawan

Keyword(s):

Standard Model ◽

Particle Physics ◽

Space Time ◽

Additional Dimension ◽

The Earth ◽

The Standard Model ◽

The Universe

Put simply, Lisa Randall’s job is to figure out how the universe works, and what it’s made of. Her contributions to theoretical particle physics include two models of space-time that bear her name. The first Randall–Sundrum model addressed a problem with the Standard Model of the universe, and the second concerned the possibility of a warped additional dimension of space. In this work, we caught up with Randall to talk about why she chose a career in physics, where she finds inspiration, and what advice she’d offer budding physicists. This article has been edited for clarity. My favourite quote in this interview is, “Figure out what you enjoy, what your talents are, and what you’re most curious to learn about.” If you insterest in her work, you can contact her on Twitter @lirarandall.

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An Interview with the Physicist that Her Head in the Universe and Both Feet on the Earth

10.31229/osf.io/jdw7f ◽

2019 ◽

Author(s):

Adib Rifqi Setiawan

Keyword(s):

Standard Model ◽

Particle Physics ◽

Space Time ◽

Additional Dimension ◽

The Earth ◽

The Standard Model ◽

The Universe

Put simply, Lisa Randall’s job is to figure out how the universe works, and what it’s made of. Her contributions to theoretical particle physics include two models of space-time that bear her name. The first Randall–Sundrum model addressed a problem with the Standard Model of the universe, and the second concerned the possibility of a warped additional dimension of space. In this work, we caught up with Randall to talk about why she chose a career in physics, where she finds inspiration, and what advice she’d offer budding physicists. This article has been edited for clarity. My favourite quote in this interview is, “Figure out what you enjoy, what your talents are, and what you’re most curious to learn about.” If you insterest in her work, you can contact her on Twitter @lirarandall.

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HIDING THE EXISTENCE OF A FAMILY SYMMETRY IN THE STANDARD MODEL

Modern Physics Letters A ◽

10.1142/s0217732305018815 ◽

2005 ◽

Vol 20 (36) ◽

pp. 2767-2774 ◽

Cited By ~ 9

Author(s):

ERNEST MA

Keyword(s):

Standard Model ◽

Neutrino Mass ◽

Mass Matrix ◽

Higgs Sector ◽

Higgs Doublet ◽

Neutrino Mass Matrix ◽

Tree Level ◽

Family Symmetry ◽

The Standard Model

If a family symmetry exists for the quarks and leptons, the Higgs sector is expected to be enlarged to be able to support the transformation properties of this symmetry. There are, however, three possible generic ways (at tree level) of hiding this symmetry in the context of the Standard Model with just one Higgs doublet. All three mechanisms have their natural realizations in the unification symmetry E6 and one in SO (10). An interesting example based on SO (10)×A4 for the neutrino mass matrix is discussed.

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EFFECTS OF THE CHARGED HIGGS BOSON ON THE b→sl+l− DECAY

Modern Physics Letters A ◽

10.1142/s0217732389002203 ◽

1989 ◽

Vol 04 (20) ◽

pp. 1945-1954 ◽

Cited By ~ 10

Author(s):

M. CIUCHINI

Keyword(s):

Higgs Boson ◽

Standard Model ◽

Higgs Sector ◽

Higgs Doublet ◽

Charged Higgs Boson ◽

The Standard Model ◽

Charged Higgs ◽

Free Parameters

The 2H model that resembles the Higgs sector of the minimal N=1 SUSY version of the standard model is considered and the contribution of the charged Higgs boson to the rate of the b→sl+l− transition is studied as a function of the free parameters MH, Mt and the squared two Higgs doublet v.e.v. ratio r. It is shown that this process can be suppressed by the charged Higgs boson contribution and that in general it is not very sensitive to its presence unless (SUSY-forbidden) values of r>1 are assumed.

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Exploration of Extended Higgs Sectors with Run-2 Proton–Proton Collision Data at the LHC

Symmetry ◽

10.3390/sym13112144 ◽

2021 ◽

Vol 13 (11) ◽

pp. 2144

Author(s):

Arnaud Ferrari ◽

Nikolaos Rompotis

Keyword(s):

Standard Model ◽

Higgs Sector ◽

Scalar Fields ◽

Higgs Bosons ◽

Proton Collision ◽

Complex Scalar ◽

Proton Proton ◽

The Standard Model ◽

Extended Higgs Sectors ◽

Proton Proton Collision

One doublet of complex scalar fields is the minimal content of the Higgs sector in order to achieve spontaneous electroweak symmetry breaking and, in turn, to generate the masses of fundamental particles in the Standard Model. However, several theories beyond the Standard Model predict a nonminimal Higgs sector and introduce additional singlets, doublets or even higher-order weak isospin representations, thereby yielding additional Higgs bosons. With its high proton–proton collision energy (13 TeV during Run-2), the Large Hadron Collider opens a new window towards the exploration of extended Higgs sectors. This review article summarises the current state-of-the-art experimental results recently obtained in searches for new neutral and charged Higgs bosons with a partial or full Run-2 dataset.

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Higgs searches beyond the Standard Model

International Journal of Modern Physics Conference Series ◽

10.1142/s2010194514602889 ◽

2014 ◽

Vol 31 ◽

pp. 1460288 ◽

Cited By ~ 1

Author(s):

R. Mankel ◽

Keyword(s):

Standard Model ◽

Higgs Sector ◽

Higgs Doublet ◽

Higgs Bosons ◽

Supersymmetric Model ◽

Beyond The Standard Model ◽

Model Interpretation ◽

The Standard Model ◽

Extended Higgs Sectors ◽

Minimal Supersymmetric Model

While the existence of a Higgs boson with a mass near 125 GeV has been clearly established, the detailed structure of the entire Higgs sector is yet unclear. Besides the Standard Model interpretation, various possibilities for extended Higgs sectors are being considered. The minimal supersymmetric extension (MSSM) features two Higgs doublets resulting in five physical Higgs bosons, which are subject to direct searches. Alternatively, more generic Two-Higgs Doublet models (2HDM) are used for the interpretation of results. The Next-to-Minimal Supersymmetric Model (NMSSM) has a more complex Higgs sector with seven physical states. Also exotic Higgs bosons decaying to invisible final states are considered. This article summarizes recent findings based on results from collider experiments.

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