$Î·-Î·^\prime$ Mixing in the Flavor Basis and Large N

Vincent Mathieu; Vicente Vento

doi:10.1016/j.physletb.2010.04.021

paper

$I^\cdot - I^\cdot^{'}$ Mixing in the Flavor Basis and Large N

arXiv:1003.2119 · doi:10.1016/j.physletb.2010.04.021

Abstract

The mass matrix for $I^\cdot - I^\cdot^{'}$ is derived in the flavor basis at $O (p^{4})$ of the chiral Lagrangian using the large $N$ approximation. Under certain assumptions, the mixing angle $I ¨ = 41. 4^{\circ}$ and the decay constants ratio $f_{K} / f_{I ¨} = 1.15$ are calculated in agreement with the data. It appears that the FKS scheme arises as a special limit of the chiral Lagrangian. Their mass matrix is obtained without the hypothesis on the mixing pattern of the decay constants.

10 pages, 2 figures, to be published in Phys. Lett. B

I^⋅−I^⋅′ Mixing in the Flavor Basis and Large N

Abstract

$I^\cdot - I^\cdot^{'}$ Mixing in the Flavor Basis and Large N