Technicolor and other QCD-like theories at next-to-next-to-leading order

Abstract

We calculate the vacuum-expectation-value, the meson mass and the meson decay constant to next-to-next-to-leading-order in the chiral expansion for QCD-like theories with general $N_F$ degenerate flavours for the cases with a complex representation, a real and a pseudoreal representation, i.e. with global symmetry and breaking patters $SU(N_F{)}_L\times SU(N_F{)}_R\to SU(N_F{)}_V$, $SU(2N_F)\to SO(2N)$ and $SU(2N_F)\to Sp(2N_F)$. These calculations should be useful for lattice calculations for dynamical electroweak symmetry breaking and related cases.

Comments: 24 pages