Rare decays of strange mesons

  • Sergey L. Avakyan Sukhoi State Technical University of Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus
  • Elena Z. Avakyan Sukhoi State Technical University of Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus

Abstract

The value of the parameter L characterizing the size of the confinement region of the strange quark in the Quark Confinement Model (QCM) was obtained by fitting the constants of the fundamental decays of the strange mesons sector (fK, gφγ, gK*Kγ, gK*Kπ, gφKK). The decay Kl3 was studied in the framework of QCM. The slope parameters λ+', λ-', λ0' of the form factors of this decay were calculated using the obtained value ΛS = 505 MeV. It is shown that a consistent account of the intermediate states leads to asignificant improvement in the obtained numerical values of the slope parameters of the decay under consideration. Itshould be noted that we managed to reproduce the Callan- Treiman - Maturo - Okubo - Pan-dit chiral ratio with 10 % accuracy. The branching ratios for K+ → π+e+e- and K+ → π+μ+μ- decays have been predicted in this work. The account of intermediate states turns out to be required for adequate description of hadron interactions. In the case of K+ → π+l+l- decays, the contributions of intermediate mesons (a1(1260), K1(1270), ρ(770)) should be taken into account. It is shown that a consistent account of intermediate hadron states is extremely important for the description of these processes. We also studied the influence of the Higgs boson on the amplitudes of the K+ ® p+l+l decays. The contribution of the diagrams with the intermediate Higgs boson turns out to be negligible because of the large mass mH = 125 GeV and the small interaction constant gHff = mf/ν, where ν = (21/2Gf) ≈ 246 GeV.

Author Biographies

Sergey L. Avakyan, Sukhoi State Technical University of Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus

PhD (physics and mathematics), docent; associate professor at the department of higher mathematics, faculty of automated and information systems

Elena Z. Avakyan, Sukhoi State Technical University of Gomel, 48 Kastryčnika Avenue, Gomel 246746, Belarus

PhD (physics and mathematics), docent; associate professor at the department of higher mathematics, faculty of automated and information systems

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Published
2019-02-10
Keywords: low energy interactions, quark models, kaons, electroweak interaction
How to Cite
Avakyan, S. L., & Avakyan, E. Z. (2019). Rare decays of strange mesons. Journal of the Belarusian State University. Physics, 1, 51-62. Retrieved from https://journals.bsu.by/index.php/physics/article/view/1383
Issue
No 1 (2019): Journal of the Belarusian State University. Physics
Section
Atomic Nucleus and Elementary Particle Physics

Copyright (c) 2019 Journal of the Belarusian State University. Physics

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