Radiative corrections for Dalitz decays of π⁰, η^(′) and Σ⁰

2019/11/15 by T. Husek, Husek, Tomáš
Physics and Astronomy · #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.1911.06820

Abstract

We briefly summarize current experimental and theoretical results on the π⁰ Dalitz decay, including the new value for the ratio R=Γ(π⁰→ e⁺e^-γ(γ))/Γ(π⁰→γγ)=11.978(6)×10^-3, which is by two orders of magnitude more precise than the current PDG average. Furthermore, we discuss radiative corrections for the Dalitz decays η^(′)→ℓ⁺ℓ^-γ beyond the soft-photon approximation. The corrections inevitably depend on the η^(′)→γ^*γ^(*) transition form factors. Finally, we present (inclusive) radiative corrections for the Σ⁰→Λe⁺e^- decay, evaluated as well beyond the soft-photon approximation, i.e., over the whole range of the Dalitz plot and with no restrictions on the energy of the radiative photon. Here, we also calculate explicitly the 1γIR contribution and the correction to the Σ⁰Λγ vertex and confirm that these can be neglected.

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