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Electromagnetic corrections to final state interactions in $K\to 3\pi $ decays

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arxiv hep-ph/0612129 v4 pith:M7X36IJN submitted 2006-12-11 hep-ph

classification hep-ph
keywords decayselectromagneticcorrectionsfinalinteractionspionsstateabove
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The final state interactions of pions in decays $K^\pm\to\pi^\pm\pi^0\pi^0$ are considered using the methods of quantum mechanics. We show how to incorporate the electromagnetic effects in the amplitudes of these decays and to work out the relevant expressions valid above and below the two charged pions production threshold $M_c=2m$. The electromagnetic corrections are given as evaluated in a potential model.

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Cited by 1 Pith paper

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  1. Role of electromagnetic corrections in the $\pi\pi$ distributions of $\psi^\prime \to J/\psi \pi \pi$

    hep-ph 2026-03 accept novelty 4.0 of 10

    Electromagnetic corrections alter the π⁺π⁻-threshold cusp magnitude by ~2–3% in ψ′→J/ψπ⁰π⁰, so they must be included for precision extraction of S-wave ππ scattering lengths.

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