A dispersive treatment of Kι4 decays

Stoffer, Peter; Colangelo, Gilberto; Passemar, Emilie

doi:10.1088/1742-6596/800/1/012026

Title: A dispersive treatment of K_ι4 decays

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Abstract

K_ι4 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 the chiral anomaly. Here, we present the results of our dispersive analysis of K_ι4 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 and L^r₁, L^r₂, and L^r₃. In contrast to a pure chiral treatment, the dispersion relation describes the observed curvature of one of the K_ι4 form factors, which we understand as an effect of rescattering beyond NNLO.

Authors:

Stoffer, Peter ^[1]; Colangelo, Gilberto ^[2]; Passemar, Emilie ^[3]

Univ. of Bonn, Bonn (Germany)
Univ. of Bern, Bern (Switzerland)
Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Publication Date:: Sun Jan 01 00:00:00 EST 2017

Research Org.:: Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)

Sponsoring Org.:: USDOE Office of Science (SC), Nuclear Physics (NP)

OSTI Identifier:: 1362016

Report Number(s):: JLAB-THY-17-2489; DOE/OR/23177-4162
Journal ID: ISSN 1742-6588

Grant/Contract Number:: AC05-06OR23177

Resource Type:: Accepted Manuscript

Journal Name:: Journal of Physics. Conference Series

Additional Journal Information:: Journal Volume: 800; Conference: International Conference on Kaon Physics (KAON 2016), Birmingham (United Kingdom), 14-17 Sep 2016; Journal ID: ISSN 1742-6588

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

Subject:: 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

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                    Stoffer, Peter, Colangelo, Gilberto, and Passemar, Emilie. A dispersive treatment of Kι4 decays.  United States: N. p., 2017. 
Web.  doi:10.1088/1742-6596/800/1/012026.

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                    Stoffer, Peter, Colangelo, Gilberto, & Passemar, Emilie. A dispersive treatment of Kι4 decays.  United States.  https://doi.org/10.1088/1742-6596/800/1/012026

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                    Stoffer, Peter, Colangelo, Gilberto, and Passemar, Emilie. Sun .  
"A dispersive treatment of Kι4 decays".  United States.  https://doi.org/10.1088/1742-6596/800/1/012026.  https://www.osti.gov/servlets/purl/1362016.

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@article{osti_1362016,

  title        = {A dispersive treatment of Kι4 decays},

  author       = {Stoffer, Peter and Colangelo, Gilberto and Passemar, Emilie},

  abstractNote = {Kι4 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 the chiral anomaly. Here, we present the results of our dispersive analysis of Kι4 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 and Lr1, Lr2, and Lr3. In contrast to a pure chiral treatment, the dispersion relation describes the observed curvature of one of the Kι4 form factors, which we understand as an effect of rescattering beyond NNLO.},

  doi          = {10.1088/1742-6596/800/1/012026},

  journal      = {Journal of Physics. Conference Series},

  number       = ,

  volume       = 800,

  place        = {United States},

  year         = {Sun Jan 01 00:00:00 EST 2017},

  month        = {Sun Jan 01 00:00:00 EST 2017}

}

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Title: A dispersive treatment of Kι4 decays

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Title: A dispersive treatment of K_ι4 decays