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pi K scattering in three flavour ChPT : π K scattering in three flavour ChPT

Bijnens, Johan LU orcid ; Dhonte, Pierre LU and Talavera, Pere (2004) In Journal of High Energy Physics 2004(JHEP05(2004)). p.811-833
Abstract
We present the scattering lengths for the piK processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order (NNLO). The calculation has been performed analytically but we only include analytical results for the dependence on the low-energy constants (LECs) at NNLO due to the size of the expressions. These results, together with resonance estimates of the NNLO LECs are used to obtain constraints on the Zweig rule suppressed LECs at NLO, L-4(r) and L-6(r). Contrary to expectations from NLO order calculations we find them to be compatible with zero. We do a preliminary study of combining the results from pipi scattering, piK scattering and the scalar form-factors and find only a marginal... (More)
We present the scattering lengths for the piK processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order (NNLO). The calculation has been performed analytically but we only include analytical results for the dependence on the low-energy constants (LECs) at NNLO due to the size of the expressions. These results, together with resonance estimates of the NNLO LECs are used to obtain constraints on the Zweig rule suppressed LECs at NLO, L-4(r) and L-6(r). Contrary to expectations from NLO order calculations we find them to be compatible with zero. We do a preliminary study of combining the results from pipi scattering, piK scattering and the scalar form-factors and find only a marginal compatibility with all experimental/dispersive input data. (Less)
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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Chiral Lagrangians, Spontaneous Symmetry Breaking
in
Journal of High Energy Physics
volume
2004
issue
JHEP05(2004)
pages
23 pages
publisher
Springer
external identifiers
  • wos:000222828800036
  • scopus:23044434668
ISSN
1029-8479
DOI
10.1088/1126-6708/2004/05/036
language
English
LU publication?
yes
id
aa0d3c82-e57d-4c32-8270-e6f71ed04082 (old id 272427)
date added to LUP
2016-04-01 12:17:52
date last changed
2022-12-11 01:22:56
@article{aa0d3c82-e57d-4c32-8270-e6f71ed04082,
  abstract     = {{We present the scattering lengths for the piK processes in the three flavour Chiral Perturbation Theory (ChPT) framework at next-to-next-to-leading order (NNLO). The calculation has been performed analytically but we only include analytical results for the dependence on the low-energy constants (LECs) at NNLO due to the size of the expressions. These results, together with resonance estimates of the NNLO LECs are used to obtain constraints on the Zweig rule suppressed LECs at NLO, L-4(r) and L-6(r). Contrary to expectations from NLO order calculations we find them to be compatible with zero. We do a preliminary study of combining the results from pipi scattering, piK scattering and the scalar form-factors and find only a marginal compatibility with all experimental/dispersive input data.}},
  author       = {{Bijnens, Johan and Dhonte, Pierre and Talavera, Pere}},
  issn         = {{1029-8479}},
  keywords     = {{Chiral Lagrangians; Spontaneous Symmetry Breaking}},
  language     = {{eng}},
  month        = {{05}},
  number       = {{JHEP05(2004)}},
  pages        = {{811--833}},
  publisher    = {{Springer}},
  series       = {{Journal of High Energy Physics}},
  title        = {{pi K scattering in three flavour ChPT : π K scattering in three flavour ChPT}},
  url          = {{http://dx.doi.org/10.1088/1126-6708/2004/05/036}},
  doi          = {{10.1088/1126-6708/2004/05/036}},
  volume       = {{2004}},
  year         = {{2004}},
}