A dispersive treatment of Kl4 decays
Abstract
Kl4 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 Kl4 decays that provides a resummation of ππ- and Kπ-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 toxPT at NLO and NNLO enables us to determine the LECs Lr1, Lr2 and Lr3. With recently published data from NA48/2, the LEC Lr9 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.
- Authors:
-
- 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)
- Publication Date:
- 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:
- 1183733
- Report Number(s):
- JLAB-THY-15-1998; DOE/OR/23177-3265; arXiv:1501.05627
Journal ID: ISSN 1434-6044; PII: 3357
- Grant/Contract Number:
- AC05-06OR23177
- Resource Type:
- Accepted Manuscript
- Journal Name:
- European Physical Journal. C, Particles and Fields
- Additional Journal Information:
- Journal Volume: 75; Journal Issue: 4; Journal ID: ISSN 1434-6044
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Colangelo, Gilberto, Passemar, Emilie, and Stoffer, Peter. A dispersive treatment of Kl4 decays. United States: N. p., 2015.
Web. doi:10.1140/epjc/s10052-015-3357-1.
Colangelo, Gilberto, Passemar, Emilie, & Stoffer, Peter. A dispersive treatment of Kl4 decays. United States. https://doi.org/10.1140/epjc/s10052-015-3357-1
Colangelo, Gilberto, Passemar, Emilie, and Stoffer, Peter. Tue .
"A dispersive treatment of Kl4 decays". United States. https://doi.org/10.1140/epjc/s10052-015-3357-1. https://www.osti.gov/servlets/purl/1183733.
@article{osti_1183733,
title = {A dispersive treatment of Kl4 decays},
author = {Colangelo, Gilberto and Passemar, Emilie and Stoffer, Peter},
abstractNote = {Kl4 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 Kl4 decays that provides a resummation of ππ- and Kπ-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 toxPT at NLO and NNLO enables us to determine the LECs Lr1, Lr2 and Lr3. With recently published data from NA48/2, the LEC Lr9 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.},
doi = {10.1140/epjc/s10052-015-3357-1},
journal = {European Physical Journal. C, Particles and Fields},
number = 4,
volume = 75,
place = {United States},
year = {Tue Apr 28 00:00:00 EDT 2015},
month = {Tue Apr 28 00:00:00 EDT 2015}
}
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