Equivalence of different descriptions for $\eta$ Particle in Simplest Little Higgs Model

Abstract

In SU(3) simplest little Higgs model, a characteristic particle is the light pseudoscalar boson eta, it leads interesting signals in the LHC/ILC and is studied in literature with different parameterizations. In this work, we show that these different descriptions for eta particle are equivalent up to some SU(3) rotations as long as we suitably redefine the pseudo Goldstone boson fields. We evaluate the necessary SU(3) rotations and built up explicit expressions for redefined fields.