Convergence properties of eta -> 3 pi decays in chiral perturbation theory
Result description
The convergence of the decay widths and some of the Dalitz plot parameters of the decay eta -> 3 pi seems problematic in low energy QCD. In the framework of resummed chiral perturbation theory, we explore the question of compatibility of experimental data with a reasonable convergence of a carefully defined chiral series. By treating the uncertainties in the higher orders statistically, we numerically generate a large set of theoretical predictions, which are then confronted with experimental information. In the case of the decay widths, the experimental values can be reconstructed for a reasonable range of the free parameters and thus no tension is observed, in spite of what some of the traditional calculations suggest. The Dalitz plot parameters a and d can be described very well too. When the parameters b and alpha are concerned, we find a mild tension for the whole range of the free parameters, at less than 2 sigma C.L. This can be interpreted in two ways - either some of the higher order corrections are indeed unexpectedly large or there is a specific configuration of the remainders, which is, however, not completely improbable.
Keywords
parameterslagrangiansmassquarkpi-pivacuum fluctuationselectromagnetic correctionsone-loopcurrent-algebralow-energy constants
The result's identifiers
Result code in IS VaVaI
Result on the web
DOI - Digital Object Identifier
Alternative languages
Result language
angličtina
Original language name
Convergence properties of eta -> 3 pi decays in chiral perturbation theory
Original language description
The convergence of the decay widths and some of the Dalitz plot parameters of the decay eta -> 3 pi seems problematic in low energy QCD. In the framework of resummed chiral perturbation theory, we explore the question of compatibility of experimental data with a reasonable convergence of a carefully defined chiral series. By treating the uncertainties in the higher orders statistically, we numerically generate a large set of theoretical predictions, which are then confronted with experimental information. In the case of the decay widths, the experimental values can be reconstructed for a reasonable range of the free parameters and thus no tension is observed, in spite of what some of the traditional calculations suggest. The Dalitz plot parameters a and d can be described very well too. When the parameters b and alpha are concerned, we find a mild tension for the whole range of the free parameters, at less than 2 sigma C.L. This can be interpreted in two ways - either some of the higher order corrections are indeed unexpectedly large or there is a specific configuration of the remainders, which is, however, not completely improbable.
Czech name
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Czech description
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Classification
Type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10303 - Particles and field physics
Result continuities
Project
GA15-18080S: Effective field theories: principles and phenomenology
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
European Physical Journal C
ISSN
1434-6044
e-ISSN
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Volume of the periodical
77
Issue of the periodical within the volume
1
Country of publishing house
DE - GERMANY
Number of pages
35
Pages from-to
1-35
UT code for WoS article
000393665700001
EID of the result in the Scopus database
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Basic information
Result type
Jimp - Article in a specialist periodical, which is included in the Web of Science database
OECD FORD
Particles and field physics
Year of implementation
2017