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

Summary, in English

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.

• Author: Johan Bijnens; Alejandro Celis
• Department/s: Theoretical Particle Physics - Has been reorganised
• Publishing year: 2009
• Language: English
• Pages: 466-470
• Publication/Series: Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
• Volume: 680
• Issue: 5
• Links: http://arxiv.org/abs/arXiv:0906.0302; http://dx.doi.org/10.1016/j.physletb.2009.09.048; http://dx.doi.org/10.1016/j.physletb.2009.09.048
• Document type: Journal article
• Publisher: Elsevier
• Topic: Subatomic Physics
• Keywords: 11.30.Rd Chiral symmetries; 12.39.Fe Chiral Lagrangians; 13.20.Eb Decays of K mesons
• Status: Published
• ISBN/ISSN/Other: ISSN: 0370-2693