A dispersive treatment of Kl4 decays

Colangelo, Gilberto; Passemar, Emilie; Stoffer, Peter

doi:10.1140/epjc/s10052-015-3357-1

Title: A dispersive treatment of K_l4 decays

Journal Article · Tue Apr 28 00:00:00 EDT 2015 · European Physical Journal. C, Particles and Fields

DOI:https://doi.org/10.1140/epjc/s10052-015-3357-1· OSTI ID:1183733

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

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

K_l4 decays offer several reasons of interest: they allow an accurate measurement of ππ-scattering lengths; they provide the best source for the determination of some low-energy constants of _xPT; one form factor is directly related to the chiral anomaly, which can be measured here. We present a dispersive treatment of K_l4 decays that provides a resummation of ππ- and K_π-rescattering effects. In addition, the free parameters of the dispersion relation are fitted to the data of the high-statistics experiments E865 and NA48/2. The matching to_xPT at NLO and NNLO enables us to determine the LECs L^r₁, L^r₂ and L^r₃. With recently published data from NA48/2, the LEC L^r₉ can be determined as well. In contrast to a pure chiral treatment, the dispersion relation describes the observed curvature of one of the form factors, which we understand as a rescattering effect beyond NNLO.

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

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

Grant/Contract Number:: AC05-06OR23177

OSTI ID:: 1183733

Report Number(s):: JLAB-THY-15-1998; DOE/OR/23177-3265; arXiv:1501.05627; PII: 3357

Journal Information:: European Physical Journal. C, Particles and Fields, Vol. 75, Issue 4; ISSN 1434-6044

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 25 works

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Explicit form of the R-ratio of electron-positron annihilation into hadrons Nesterenko, A. V. arXiv https://doi.org/10.48550/arxiv.1902.06504	text	January 2019
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Dispersive analysis of $$\eta \rightarrow 3 \pi $$ η → 3 π Colangelo, Gilberto; Lanz, Stefan; Leutwyler, Heinrich The European Physical Journal C, Vol. 78, Issue 11 https://doi.org/10.1140/epjc/s10052-018-6377-9	journal	November 2018
Explicit form of the R- ratio of electron–positron annihilation into hadrons Nesterenko, A. V. Journal of Physics G: Nuclear and Particle Physics, Vol. 46, Issue 11 https://doi.org/10.1088/1361-6471/ab433e	journal	October 2019
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