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pi K scattering in three flavour ChPT

Bijnens, Johan LU ; Dhonte, Pierre LU and Talavera, P (2004) In Journal of High Energy Physics
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
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
spontaneous symmetry breaking, chiral Lagrangians
in
Journal of High Energy Physics
issue
5
publisher
Springer
external identifiers
  • wos:000222828800036
ISSN
1126-6708
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
2007-10-17 09:28:02
date last changed
2016-04-15 20:07:35
@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, P},
  issn         = {1126-6708},
  keyword      = {spontaneous symmetry breaking,chiral Lagrangians},
  language     = {eng},
  number       = {5},
  publisher    = {Springer},
  series       = {Journal of High Energy Physics},
  title        = {pi K scattering in three flavour ChPT},
  url          = {http://dx.doi.org/10.1088/1126-6708/2004/05/036},
  year         = {2004},
}