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Title: A dispersive treatment of K ι4 decays

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 r 1, L r 2, and L r 3. 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:
 [1] ;  [2] ;  [3]
  1. Univ. of Bonn, Bonn (Germany)
  2. Univ. of Bern, Bern (Switzerland)
  3. Indiana Univ., Bloomington, IN (United States); Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Publication Date:
Report Number(s):
JLAB-THY-17-2489; DOE/OR/23177-4162
Journal ID: ISSN 1742-6588
Grant/Contract Number:
AC05-06OR23177
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
Research Org:
Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
OSTI Identifier:
1362016