On the $ZH\eta$ vertex in the simplest Little Higgs Model

Abstract

The issue of deriving $ZH\eta$ vertex in the simplest Little Higgs (SLH) model is revisited. Special attention is paid to the treatment of non-canonically-normalized scalar kinetic matrix and vector-scalar two-point transitions. We elucidate a general procedure to diagonalize a general vector-scalar system in gauge theories and apply it to the case of SLH. The resultant $ZH\eta$ vertex is found to be different from those which have already existed in the literature for a long time. We also present an understanding of this issue from an effective field theory viewpoint.

Accepted version by PRD; 11 pages with two columns; Presentation of Sec. II refined; EFT analysis added in Sec. IIIC; References updated

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Cited by in corpus (5)

• Massive On-shell Recursion Relations for n-point Amplitudes
• Lepton flavor violation within the Simplest Little Higgs model
• Phenomenology of A Little Higgs Pseudo-Axion
• Simplest Little Higgs Revisited: Hidden Mass Relation, Unitarity and Naturalness
• Spontaneous CP-violation in the Simplest Little Higgs Model