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K to pi pi decays in SU(2) Chiral Perturbation Theory

Bijnens, Johan LU orcid and Celis, Alejandro (2009) In Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics 680(5). p.466-470
Abstract
We study the decays $K\to\pi\pi$ in one-loop

two-flavour Chiral Perturbation Theory.

We provide arguments why the calculation of the coefficient of the

pionic chiral logarithm

$\logm = M^2\log M^2$

is unique and then perform the calculation. As a check we perform the

reduction of the known three-flavour result.

Our result can be used to perform the extrapolation to the physical

pion mass of direct lattice QCD calculations of $K\to\pi\pi$

at fixed $m_s$ or $m_K^2$.

The underlying arguments

are expected to be valid for heavier particles and other processes as well.
Please use this url to cite or link to this publication:
author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
11.30.Rd Chiral symmetries, 12.39.Fe Chiral Lagrangians, 13.20.Eb Decays of K mesons
in
Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
volume
680
issue
5
pages
466 - 470
publisher
Elsevier
external identifiers
  • wos:000271363200014
  • scopus:70349417789
ISSN
0370-2693
DOI
10.1016/j.physletb.2009.09.048
language
English
LU publication?
yes
id
a713ddb4-171e-4ae1-a1d6-9ffc004c2fdb (old id 1482618)
alternative location
http://arxiv.org/abs/arXiv:0906.0302
http://dx.doi.org/10.1016/j.physletb.2009.09.048
date added to LUP
2016-04-01 13:12:02
date last changed
2024-04-10 01:57:31
@article{a713ddb4-171e-4ae1-a1d6-9ffc004c2fdb,
  abstract     = {{We study the decays $K\to\pi\pi$ in one-loop<br/><br>
two-flavour Chiral Perturbation Theory.<br/><br>
We provide arguments why the calculation of the coefficient of the<br/><br>
pionic chiral logarithm<br/><br>
$\logm = M^2\log M^2$<br/><br>
is unique and then perform the calculation. As a check we perform the<br/><br>
reduction of the known three-flavour result. <br/><br>
Our result can be used to perform the extrapolation to the physical<br/><br>
pion mass of direct lattice QCD calculations of $K\to\pi\pi$<br/><br>
at fixed $m_s$ or $m_K^2$. <br/><br>
The underlying arguments<br/><br>
are expected to be valid for heavier particles and other processes as well.}},
  author       = {{Bijnens, Johan and Celis, Alejandro}},
  issn         = {{0370-2693}},
  keywords     = {{11.30.Rd Chiral symmetries; 12.39.Fe Chiral Lagrangians; 13.20.Eb Decays of K mesons}},
  language     = {{eng}},
  number       = {{5}},
  pages        = {{466--470}},
  publisher    = {{Elsevier}},
  series       = {{Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics}},
  title        = {{K to pi pi decays in SU(2) Chiral Perturbation Theory}},
  url          = {{http://dx.doi.org/10.1016/j.physletb.2009.09.048}},
  doi          = {{10.1016/j.physletb.2009.09.048}},
  volume       = {{680}},
  year         = {{2009}},
}