Stoffer, Peter; Colangelo, Gilberto; Passemar, Emilie (27 March 2017). A dispersive treatment of Kℓ₄ decays. Journal of Physics: Conference Series, 800(1), 012026. Institute of Physics Publishing IOP 10.1088/1742-6596/800/1/012026
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Kℓ₄ decays have several features of interest: they allow an accurate measurement of ππ
-scattering lengths; the decay is the best source for the determination of some low-energy
constants of chiral perturbation theory (χPT); one form factor of the decay is connected to thechiral anomaly.
We present the results of our dispersive analysis of Kℓ₄ decays, which provides a resummation of ππ- and Kπ-rescattering effects. The free parameters of the dispersion relation are fitted to the data of the high-statistics experiments E865 and NA48/2. By matching to χPT at NLO and NNLO, we determine the low-energy constants Lr1, Lr2
and Lr3. In contrast to a pure chiral treatment, the dispersion relation describes the observed curvature of one of the Kℓ₄ form factors, which we understand as an effect of rescattering beyond NNLO.
Item Type: |
Conference or Workshop Item (Paper) |
|---|---|
Division/Institute: |
10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC) 08 Faculty of Science > Institute of Theoretical Physics |
UniBE Contributor: |
Stoffer, Peter, Colangelo, Gilberto, Passemar, Emilie |
Subjects: |
500 Science > 530 Physics |
ISSN: |
1742-6588 |
Publisher: |
Institute of Physics Publishing IOP |
Language: |
English |
Submitter: |
Esther Fiechter |
Date Deposited: |
03 Nov 2017 10:14 |
Last Modified: |
05 Dec 2022 15:06 |
Publisher DOI: |
10.1088/1742-6596/800/1/012026 |
BORIS DOI: |
10.7892/boris.102042 |
URI: |
https://boris.unibe.ch/id/eprint/102042 |
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