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On Higgs self-coupling parameter λ of the standard model

على معلمة الاقتران الذاتي هيغز λ للنموذج القياسي
Authors: El Hassan Saidi;

On Higgs self-coupling parameter λ of the standard model

Abstract

Pensando en el doblete de campo de Higgs Hi del modelo estándar como obedeciendo, además de las propiedades habituales, una ecuación de tipo Weyl en la 3-esfera de Goldstone de la simetría de gauge UY(1)×SUL(2), estudiamos las características subyacentes de los parámetros libres μ2 y λ del potencial de Higgs clásico. Mostramos, entre otros, que λ puede estar relacionado con las constantes de acoplamiento de gauge gY y gsu2, como λ=gY22. 2+gsu222. 2, donde y son números reales con el orden de magnitud discutido en el documento. También mostramos que a escala electrodébil la masa de Higgs neutro se puede estimar como MH=MZ2~ 128,7 GeV.

En pensant que le doublet de champ de Higgs Hi du modèle standard obéit, en plus des propriétés habituelles, à une équation de type Weyl sur la 3-sphère de Goldstone de la symétrie de jauge UY(1)×SUL(2), nous étudions les caractéristiques sous-jacentes des paramètres libres μ2 et λ du potentiel de Higgs classique. Nous montrons entre autres que λ peut être lié aux constantes de couplage de jauge gY et gsu2 comme λ= gY22ξ′2+ gsu222ξ2 où ξ et ξ′ sont des nombres réels avec un ordre de grandeur discuté dans le document. Nous montrons également qu'à l'échelle électrofaible, la masse de Higgs neutre peut être estimée à MH≈MZ2∼ 128,7GeV.

Thinking about the Higgs field doublet Hi of the standard model as obeying, in addition to the usual properties, a Weyl-type equation on the Goldstone 3-sphere of the UY(1)×SUL(2) gauge symmetry, we study underlying features of the free parameters μ2 and λ of the classical Higgs potential. We show amongst others that λ may be related to the gauge coupling constants gY and gsu2 like λ=gY22ξ′2+gsu222ξ2 where ξ and ξ′ are real numbers with order of magnitude discussed in paper. We show as well that at electroweak scale the mass of neutral Higgs may be estimated as MH≃MZ2∼128.7GeV.

بالتفكير في حقل هيغز المزدوج للنموذج القياسي على أنه يطيع، بالإضافة إلى الخصائص المعتادة، معادلة من نوع Weyl على كرة Goldstone 3 لتماثل مقياس UY(1)×SUL(2)، ندرس السمات الأساسية للمعلمات الحرة μ 2 و λ لإمكانات هيغز الكلاسيكية. نظهر من بين أمور أخرى أن λ قد تكون ذات صلة بثوابت اقتران المقياس gY و gsu2 مثل λ= gY22 ′2+ gsu222 Ω 2 حيث نظهر أيضًا أنه عند المقياس الكهربائي الضعيف، يمكن تقدير كتلة هيغز المحايدة على أنها MHMZ2128.7GeV.

Keywords

Nuclear and High Energy Physics, Standard Model, Higgs boson, FOS: Mechanical engineering, QC770-798, Engineering, Nuclear and particle physics. Atomic energy. Radioactivity, Unified quantum theories, Coupling (piping), Cosmological Parameters and Dark Energy, Particle Physics and High-Energy Collider Experiments, Higgs field, Quantum electrodynamics, Physics, Symmetry breaking in quantum theory, Particle physics, Astronomy and Astrophysics, Standard Model (mathematical formulation), Holographic Derivation of Field Theories and Gravity, Materials science, Mechanical engineering, Gauge (firearms), Physics and Astronomy, Physical Sciences, Metallurgy, Theoretical physics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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