Article,

An Effective Lagrangian for Low-Scale Technicolor

, and .
(Oct 19, 2009)

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,ømega\_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)U(1)U(2)\_L U(2)\_R\$, where \$SU(2)U(1)\$ is the electroweak gauge group and \$U(2)\_L 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/ømega\_T\$, respectively.

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