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Double chiral logs

Bijnens, J. LU orcid ; Colangelo, G. and Ecker, G. (1998) In Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics 441(1-4). p.437-446
Abstract

We determine the full structure of the leading (double-pole) divergences of O(p6) in the meson sector of chiral perturbation theory. The field theoretic basis for this calculation is described. We then use an extension of this result to determine the p6 contributions containing double chiral logarithms (L2), single logarithms times p4 constants (L × Lr i) and products of two p4 constants (Lr i × Lr j) for Fπ, FK/Fπ, Kl3 and Ke4 form factors. Numerical results are presented for these quantities.

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author
; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
volume
441
issue
1-4
pages
10 pages
publisher
Elsevier
external identifiers
  • scopus:0347570042
ISSN
0370-2693
DOI
10.1016/S0370-2693(98)01193-9
language
English
LU publication?
yes
id
6dfd42a4-7849-41f4-bb00-038f5cde8e14
date added to LUP
2019-05-03 09:09:02
date last changed
2024-01-01 02:50:25
@article{6dfd42a4-7849-41f4-bb00-038f5cde8e14,
  abstract     = {{<p>We determine the full structure of the leading (double-pole) divergences of O(p<sup>6</sup>) in the meson sector of chiral perturbation theory. The field theoretic basis for this calculation is described. We then use an extension of this result to determine the p<sup>6</sup> contributions containing double chiral logarithms (L<sup>2</sup>), single logarithms times p<sup>4</sup> constants (L × L<sup>r</sup> <sub>i</sub>) and products of two p<sup>4</sup> constants (L<sup>r</sup> <sub>i</sub> × L<sup>r</sup> <sub>j</sub>) for F<sub>π</sub>, F<sub>K</sub>/F<sub>π</sub>, K<sub>l3</sub> and K<sub>e4</sub> form factors. Numerical results are presented for these quantities.</p>}},
  author       = {{Bijnens, J. and Colangelo, G. and Ecker, G.}},
  issn         = {{0370-2693}},
  language     = {{eng}},
  month        = {{11}},
  number       = {{1-4}},
  pages        = {{437--446}},
  publisher    = {{Elsevier}},
  series       = {{Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics}},
  title        = {{Double chiral logs}},
  url          = {{http://dx.doi.org/10.1016/S0370-2693(98)01193-9}},
  doi          = {{10.1016/S0370-2693(98)01193-9}},
  volume       = {{441}},
  year         = {{1998}},
}