• Corpus ID: 117374827

Final State Interactions in $\epsilon'/\epsilon$

@article{Pallante2000FinalSI,
  title={Final State Interactions in \$\epsilon'/\epsilon\$},
  author={Elisabetta Pallante},
  journal={arXiv: High Energy Physics - Phenomenology},
  year={2000}
}
  • E. Pallante
  • Published 3 July 2000
  • Physics
  • arXiv: High Energy Physics - Phenomenology
Strong final state interaction (FSI) effects can play a central role in the Standard Model prediction of weak $K\to 2\pi$ matrix elements. Here, I discuss how FSI's affect the direct CP violation parameter $\vepp / \vep$ by solving the Omn\`es problem for the necessary $K\to 2\pi$ amplitudes. The main results of this analysis have been reported in a previous paper [1] and are further discussed in Refs. [2,3]. The resulting Standard Model prediction ${Re} (\vepp / \vep) = (15\pm 5)\times 10^{-4… 

References

Singular Integral Equations
Let the function f be defined on I=[a,b] and, possibly, be singular at an interior point c∈(a,b). Recall that the improper integral was defined by $$\int\limits_{a}^{b} {f\left( x \right)} dx: =