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Analytical dispersive construction of eta -> 3 pi amplitude: First order in isospin breaking

Kampf, Karol LU ; Knecht, Marc; Novotny, Jiri and Zdrahal, Martin (2011) In Physical Review D (Particles, Fields, Gravitation and Cosmology) 84(11).
Abstract
Because of their small electromagnetic corrections, the isospin-breaking decays n -> 3 pi seem to be good candidates for extracting isospin-breaking parameters similar to(m(d) - m(u)). This task is unfortunately complicated by large chiral corrections and the discrepancy between the experimentally measured values of the Dalitz parameters describing the energy dependence of the amplitudes of these decays and those predicted from chiral perturbation theory. We present two methods based on an analytic dispersive representation that use the information from the NNLO chiral result and the one from the measurement of the charged n -> 3 pi decay by KLOE together in a harmonized way in order to determine the value of the quark mass ratio R.... (More)
Because of their small electromagnetic corrections, the isospin-breaking decays n -> 3 pi seem to be good candidates for extracting isospin-breaking parameters similar to(m(d) - m(u)). This task is unfortunately complicated by large chiral corrections and the discrepancy between the experimentally measured values of the Dalitz parameters describing the energy dependence of the amplitudes of these decays and those predicted from chiral perturbation theory. We present two methods based on an analytic dispersive representation that use the information from the NNLO chiral result and the one from the measurement of the charged n -> 3 pi decay by KLOE together in a harmonized way in order to determine the value of the quark mass ratio R. Our final result is R = 37.7 +/- 2.2. This value supplemented by values of m(s)/(m) over cap or even (m) over cap and m(s) from other methods (as sum-rules or lattice) enables us to obtain further quark mass characteristics. For instance the recent lattice value for m(s)/(m) over cap similar to 27: 5 leads to Q = 23.1 +/- 0.7. We also quote the corresponding values of the current masses m(u) and m(d). (Less)
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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review D (Particles, Fields, Gravitation and Cosmology)
volume
84
issue
11
publisher
American Physical Society
external identifiers
  • wos:000298131100008
  • scopus:84855264186
ISSN
1550-2368
DOI
10.1103/PhysRevD.84.114015
language
English
LU publication?
yes
id
4043f635-ab97-41ea-a334-9f4705b96848 (old id 2320256)
date added to LUP
2012-02-06 15:35:38
date last changed
2017-08-13 03:08:00
@article{4043f635-ab97-41ea-a334-9f4705b96848,
  abstract     = {Because of their small electromagnetic corrections, the isospin-breaking decays n -> 3 pi seem to be good candidates for extracting isospin-breaking parameters similar to(m(d) - m(u)). This task is unfortunately complicated by large chiral corrections and the discrepancy between the experimentally measured values of the Dalitz parameters describing the energy dependence of the amplitudes of these decays and those predicted from chiral perturbation theory. We present two methods based on an analytic dispersive representation that use the information from the NNLO chiral result and the one from the measurement of the charged n -> 3 pi decay by KLOE together in a harmonized way in order to determine the value of the quark mass ratio R. Our final result is R = 37.7 +/- 2.2. This value supplemented by values of m(s)/(m) over cap or even (m) over cap and m(s) from other methods (as sum-rules or lattice) enables us to obtain further quark mass characteristics. For instance the recent lattice value for m(s)/(m) over cap similar to 27: 5 leads to Q = 23.1 +/- 0.7. We also quote the corresponding values of the current masses m(u) and m(d).},
  articleno    = {114015},
  author       = {Kampf, Karol and Knecht, Marc and Novotny, Jiri and Zdrahal, Martin},
  issn         = {1550-2368},
  language     = {eng},
  number       = {11},
  publisher    = {American Physical Society},
  series       = {Physical Review D (Particles, Fields, Gravitation and Cosmology)},
  title        = {Analytical dispersive construction of eta -> 3 pi amplitude: First order in isospin breaking},
  url          = {http://dx.doi.org/10.1103/PhysRevD.84.114015},
  volume       = {84},
  year         = {2011},
}