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<p>The article presents a&#xa0;comparative analysis of some theoretical and phenomenological relations between the constants of the extended Standard Model of electromagnetic, strong, and weak interactions between elementary particles (henceforth referred to as the extended Standard Model) in order to identify possible correlations between constants in the quark and lepton sectors. The presence of such correlations would indicate relationships between constants within a&#xa0;more general theory than the extended Standard Model. A&#xa0;number of theoretical relations between constants are considered, and the accuracy of these relations obtained in the basic approximation of the extended Standard Model is assessed. Phenomenological relations between the masses of current and constituent quarks and their mixing angles are considered. A&#xa0;typical accuracy estimate of the considered theoretical and phenomenological relations is obtained. A&#xa0;phenomenological relation between the masses of constituent quarks and the quark mixing angle is proposed. The quark–lepton complementarity relation for the mixing angles of quarks and neutrinos is confirmed. The functional dependences of the coupling constants of electromagnetic, strong, and weak interactions on the squared four-dimensional energy-momentum vector are presented. The author considers an example of a&#xa0;Grand Unified Theory and possible stages in the spontaneous breaking of its gauge symmetry to that of the extended Standard Model. The additional Higgs particles are noted to appear during these stages of spontaneous breaking. The verified quark-lepton complementarity relation for the mixing angles of quarks and neutrinos may stem from the fundamental relationship between the Cabibbo–Kobayashi–Maskawa and Pontecorvo–Maki–Nakagawa–Sakata matrices in a&#xa0;potential Grand Unified Theory. In this case, the obtained result can help to establish such a&#xa0;theory.</p>

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Correlations between the constants of the Standard Model of elementary particles and their electromagnetic, strong, and weak interactions

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Viacheslav V. Khruschov

摘要

The article presents a comparative analysis of some theoretical and phenomenological relations between the constants of the extended Standard Model of electromagnetic, strong, and weak interactions between elementary particles (henceforth referred to as the extended Standard Model) in order to identify possible correlations between constants in the quark and lepton sectors. The presence of such correlations would indicate relationships between constants within a more general theory than the extended Standard Model. A number of theoretical relations between constants are considered, and the accuracy of these relations obtained in the basic approximation of the extended Standard Model is assessed. Phenomenological relations between the masses of current and constituent quarks and their mixing angles are considered. A typical accuracy estimate of the considered theoretical and phenomenological relations is obtained. A phenomenological relation between the masses of constituent quarks and the quark mixing angle is proposed. The quark–lepton complementarity relation for the mixing angles of quarks and neutrinos is confirmed. The functional dependences of the coupling constants of electromagnetic, strong, and weak interactions on the squared four-dimensional energy-momentum vector are presented. The author considers an example of a Grand Unified Theory and possible stages in the spontaneous breaking of its gauge symmetry to that of the extended Standard Model. The additional Higgs particles are noted to appear during these stages of spontaneous breaking. The verified quark-lepton complementarity relation for the mixing angles of quarks and neutrinos may stem from the fundamental relationship between the Cabibbo–Kobayashi–Maskawa and Pontecorvo–Maki–Nakagawa–Sakata matrices in a potential Grand Unified Theory. In this case, the obtained result can help to establish such a theory.