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Isospin breaking in \(K\to3\pi\) decays II: radiative corrections

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Abstract.

The five different CP conserving amplitudes for the decays \(K\to3\pi\) are calculated using Chiral Perturbation Theory. The calculation is made to next-to-leading order and includes full isospin breaking. The squared amplitudes are compared with the corresponding ones in the isospin limit to estimate the size of the isospin breaking effects. In this paper we add the radiative corrections to the earlier calculated m u -m d and local electromagnetic effects. We find corrections of order 5-10 percent.

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Authors and Affiliations

  1. Department of Theoretical Physics, Lund University, Sölvegatan 14A, 22362, Lund, Sweden

    J. Bijnens & F. Borg

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  1. J. Bijnens
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  2. F. Borg
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Correspondence to J. Bijnens.

Additional information

Received: 8 November 2004, Published online: 18 January 2005

PACS:

13.20.Eb; 12.39.Fe; 14.40.Aq; 11.30.Rd

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Bijnens, J., Borg, F. Isospin breaking in \(K\to3\pi\) decays II: radiative corrections. Eur. Phys. J. C 39, 347–357 (2005). https://doi.org/10.1140/epjc/s2004-02094-9

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