6533b873fe1ef96bd12d4b8f

RESEARCH PRODUCT

η–η′ mixing in the flavor basis and large N

Vincent MathieuVicente Vento

subject

PhysicsNuclear and High Energy PhysicsBasis (linear algebra)Meson010308 nuclear & particles physicsThermodynamicsMass matrix01 natural sciencessymbols.namesakeQuantum mechanics0103 physical sciencessymbolsLimit (mathematics)010306 general physicsMixing (physics)LagrangianFlavor

description

Abstract The mass matrix for η – η ′ 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 ϕ = 41.4 ° and the decay constants ratio f K / f π = 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.

https://doi.org/10.1016/j.physletb.2010.04.021