Decays τ→ ππην_τ and τ→ πηην_τ in the extended Nambu-Jona-Lasinio model

2025/04/09 by M. K. Volkov, Volkov, M. K., А. А. Пивоваров +3
Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #High-Energy Particle Collisions Research #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2504.06896

Abstract

In the framework of the extended Nambu-Jona-Lasinio model, the processes τ→ ππη(η')ν_τ and τ→ πηη(η')ν_τ are considered taking into account mesons in the ground and first radially excited intermediate states. It is shown that in the processes τ→ ππη(η')ν_τ the vector channel is dominant, and in the processes τ→ πηη(η')ν_τ the main contribution is given by the axial vector channel. The scalar meson a₀ plays a dominant role in processes with two η-mesons in the final state. The significance of the relative phase between the ground and first radially excited states for these processes is shown. The obtained results for the τ→ ππην_τ process are in satisfactory agreement with the recent experimental data from BaBar and CMD-3, which differ from the averaged values given in the PDG tables.

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