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

Johan Bijnens, Alejandro Celis

Research output: Contribution to journalArticlepeer-review

21 Citations (SciVal)

## 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.
Original language English 466-470 Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics 680 5 https://doi.org/10.1016/j.physletb.2009.09.048 Published - 2009

## Subject classification (UKÄ)

• Subatomic Physics

## Keywords

• 11.30.Rd Chiral symmetries
• 12.39.Fe Chiral Lagrangians
• 13.20.Eb Decays of K mesons

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