An Effective Lagrangian for Low-Scale Technicolor

Abstract

We present an effective Lagrangian for low-scale technicolor. It describes the interactions at energies near the mass of the lowest-lying bound states of the lightest technifermion doublet -- the spin-one ${\rho }_T,{\omega }_T,a_T,f_T$ and the corresponding technipions ${\pi }_T$. This Lagrangian is intended to put on firmer ground the technicolor straw-man phenomenology used for collider searches of low-scale technicolor. The technivectors are described using the hidden local symmetry (HLS) formalism of Bando et al. The Lagrangian is based on $SU(2)\otimes U(1)\otimes U(2{)}_L\otimes U(2{)}_R$, where $SU(2)\otimes U(1)$ is the electroweak gauge group and $U(2{)}_L\otimes U(2{)}_R$ is the HLS gauge group. Special attention is paid to the higher-derivative standard HLS and Wess-Zumino-Witten interactions needed to describe radiative and other decays of the $a_T$ and ${\rho }_T/{\omega }_T$, respectively.

Updated introduction, to appear in Phys. Rev. D

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