English

Size of Isospin Breaking in Charged K(L4) Decay

High Energy Physics - Phenomenology 2008-11-26 v1

Abstract

We evaluate the size of isospin breaking corrections to form factors ff and gg of the K4K_{\ell 4} decay process K+π+π+νK^+\to\pi^+\pi^-\ell^+\nu_{\ell} which is actually measured by the extended NA48 setup at CERN. We found that, keeping apart the effect of Coulomb interaction, isospin breaking does not affect modules. This is due to the cancelation between corrections of electromagnetic origin and those generated by the difference between up and down quark masses. On the other hand, electromagnetism affects considerably phases if the infrared divergence is dropped out using a minimal subtraction scheme. Consequently, the greatest care must be taken in the extraction of ππ\pi\pi phase shifts from experiment.

Keywords

Cite

@article{arxiv.hep-ph/0408104,
  title  = {Size of Isospin Breaking in Charged K(L4) Decay},
  author = {A. Nehme},
  journal= {arXiv preprint arXiv:hep-ph/0408104},
  year   = {2008}
}

Comments

29 pages, LaTeX, 7 postscript figures