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

TL;DR

This paper computes key physical quantities like vacuum expectation value, meson mass, and decay constant at next-to-next-to-leading order for QCD-like theories with various symmetry breaking patterns, aiding lattice studies.

Contribution

It provides detailed NNLO calculations for different symmetry breaking patterns in QCD-like theories, extending theoretical understanding and supporting lattice simulations.

Findings

Calculated vacuum expectation value, meson mass, decay constant at NNLO

Covered theories with complex, real, and pseudoreal representations

Results applicable to lattice studies of dynamical electroweak symmetry breaking

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.