THE DESCRIPTION OF THE FOUR-PARTICLE DECAYS ¯𝐵𝑑, 𝑠 → 𝐵𝑑, 𝑠 → μ+μ−𝑒+𝑒− IN THE FRAMEWORK OF THE STANDARD MODEL

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Abstract

In the framework of the Standard Model, partial widths, double and single differential distributions for four-lepton decays 𝐵𝑞 → μ+μ−𝑒+𝑒− were calculated, 𝑞 = {𝑑, 𝑠}. The contributions of the emission of a virtual photon by light 𝑞- and heavy 𝑏-quarks, the bremsstrahlung by charged leptons in the final state, the leading contribution of ”weak annihilation”, and the contribution of wide vector 𝑐𝑐-resonances are taken into account. Contributions from narrow 𝐽/ψ – and ψ (2𝑆)–resonances are excluded. The emission of a virtual photon by a light quark 𝐵𝑞–meson is described using the vector meson dominance model. Only the contribution of the lightest vector mesons, which include a 𝑞𝑞-pair, is taken into account. For the 𝐵𝑠-meson this is '(1020)–resonance. For the 𝐵𝑑–meson, the contributions of ρ0(770)– and ω(782)–resonances are taken into account. Two possibilities are considered. The first: the contributions of narrow '(1020)– and ω(782)–mesons are excluded from the partial widths of the corresponding decays. The second: the contributions of narrow resonances are taken into account. The question of the influence of the subtractive procedure on the magnitude of the partial widths of 𝐵𝑞 → μ+μ−𝑒+𝑒− decays has been studied.

About the authors

A. V. Danilina

Skobeltsyn Institute of Nuclear Physics; NRC ”Kurchatov Institute” — ITEP

Email: anna.danilina@cern.ch
Moscow, Russia; Moscow, Russia

N. V. Nikitin

Skobeltsyn Institute of Nuclear Physics; NRC ”Kurchatov Institute” — ITEP; Lomonosov Moscow State University, Physics Faculty; The Moscow Institute of Physics and Technology

Email: Nikolai.Nikitine@cern.ch
Moscow, Russia; Moscow, Russia; Moscow, Russia; Dolgoprudny, Russia

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