Goldstone Bosons in the Appelquist-Terning ETC Model

Abstract

It is demonstrated that the extended technicolor model proposed recently by Appelquist and Terning has pair of potentially light $U(1)$ Goldstone bosons coupling to ordinary matter with strength $\frac{2m_f}{F_{\pi }}$, where $m_f$ is the mass of the fermion and $F_π \approx 125\,\GeV$. These Goldstone bosons could get a mass if the spontaneously broken $U(1)$ symmetries are also explicitly broken, by physics beyond that specified in the model. An attempt to break these symmetries by embedding the model into a larger gauge group seems to be inadequate. The problem is because there are too many representations and there is a mismatch between the number of condensates and the number of gauge symmetries broken.

14 pages, uses harvmac, to be published in Phys. Rev. D

References in corpus (7)

• Non-Oblique Effects in the Z b b_bar Vertex from ETC Dynamics
• Walking Technicolor and Electroweak Radiative Corrections
• Revenge of the One-Family Technicolor Models
• An Extended Technicolor Model
• Walking Technicolor And The $Zb\bar{b}$ Vertex
• Electroweak Corrections in Technicolor Reconsidered
• Technicolor Theories with Negative S