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Mass spectra of composite fermions in a three-fermionic preon model with chiralSU 3,C×U 1,B-L symmetry

Массовые спектры составных фермионов в модели трех фермионных преонов с киральной симметриейSU 3,C×U 1,B-L

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Il Nuovo Cimento A (1965-1970)

Summary

Mass spectra of composite fermions are studied in a preon model with approximate chiralSU 3,C×U 1,B-L×SU 2,f symmetry. Composite leptons and quarks will acquire masses, respectively, given bym 0 M f/ΛH andm C M f/ΛH, wherem 0,m c andM f are the mass scales for the chiralU 1,B-L,SU 3,C andSU 2,f symmetry breakings, respectively, and where ΛH is about the inverse sizes of leptons and quarks. The universal ratiom C/m 0∼O(10) could indicatem u/m e(≃5/0.5)∼m e/m μ (≃1200/105)∼m t/m τ (≃?/1800)∼O(10). An explicit exampl is given by the three-fermionic preon model of the Pati-Salam-Strathdee and Terazawa-Chikashige-Akama type. ChiralSU 2,f symmetry is dynamically broken at Λf by sextet «quarks» due to QCD andM f turns out to be of order of Λ 2f /ΛH, where Λf is (1/2÷1) TeV. This model predicts light exotic fermions with masses of the order of 100 GeV.

Riassunto

Si studiano gli spettri di massa di fermioni composti in un modello preonico con approssimata simmetria chiraleSU 3,C×U 1,B-L×SU 2,f. I leptoni composti e i quark assumono masse date rispettivamente dam 0 M f/ΛH em C M f/ΛH, dovem 0,m C eM f sono le scale di massa per le rotture di simmetria chiraleU 1,B-L,SU 3,C eSU 2,f, rispettivamente, e dove ΛH ha dimensione inversa rispetto a leptoni e quark. Il rapporto universalem C/m 0∼O(10) starebbe ad indicarem u/m e (≃5/0.5)∼m c/m μ (≃1200/105)∼m t/m τ (≃?/1800)∼O(10). Un esempio esplicito è dato dal modello preonico a tre fermioni del tipo di Pati-Salam-Strathdee e Terazawa-Chikashige-Akama. La simmetria chiraleSU 2,f è rotta dinamicamente in corrispondenza di Λf da quark del sestetto di QCD eM 2f risulta essere dell'ordine di Λ 2f /ΛH dove Λf è (1/2÷1) TeV. Questo modello prevede fermioni esotici leggeri con masse di ordine di 100 GeV.

Резюме

Исследуются массовые спектры составных ферминов в преонной модели с приближенной киральной симметриейSU 3,C×U 1,B-L×SU 2,f. Составные лептоны и кварки имеют массы, определяемые соответственно выражениямиm 0 M f/ΛH иm C M f/ΛH, гдеm 0,m C иM f представляют массовые масштабы для нарушений киральных симметрийU 1,B-L, SU3,C иSU 2,f соответственно, а ΛH по порядку величины определяет обратные размеры лептонов и кварков. Универсалное отношениеm C/m 0∼O(10) может указывать, чтоm u/m e(≃5/0.5)∼m c/m μ(≃1200/105)∼m t/m τ(≃?/1800)∼O(10). Приводится явный пример в рамках модели трех фермионных преонов типа Пати-Салама-Стратди и Теразава-Кикашидже-Акама. КиральнаяSU 2,f симметрия динамически нарушается при Λf за счет секстета «кварков» из-за квантовой хромодинамики иM f оказывается порядка Λ 2f /ΛH, где Λf составляет (1/2÷1) ТэВ. Эта модель предсказывает легкие экзотические фермионы с массами порядка 100 ГэВ.

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  1. Institute for Nuclear Study, University of Tokyo, 188, Tanashi, Tokyo, Japan

    M. Yasuè

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Yasuè, M. Mass spectra of composite fermions in a three-fermionic preon model with chiralSU 3,C×U 1,B-L symmetry. Nuov Cim A 85, 229–240 (1985). https://doi.org/10.1007/BF02902450

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PACS. 12.40

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