Effective Theories for QCD-like at TeV Scale
Abstract
We study the Effective Field Theory of three QCD-like theories, which can be classified by having quarks in a complex, real or pseudo-real representations of the gauge group. The Lagrangians are written in a very similar way so that the calculations can be done using techniques from Chiral Perturbation Theory (ChPT). We calculated the vacuum-expectation-value, the mass and the decay constant of pseudo-Goldstone Bosons up to next-to-next-to leading order (NNLO) \cite{Bijnens:2009qm}. The various channels of general flavour meson-meson scattering of the three theories are systematically studied and calculated up to NNLO \cite{Bijnens:2011fm}. We also calculated the vector, axial-vector, scalar, pseudo-scalar two-point functions and pseudo-scalar decay constant up NNLO order \cite{Bijnens:2011xt}. The analytic expressions of the S parameter for the three different QCD-like theories are obtained at TeV scale. Our results are useful for chiral extrapolation in lattice calculation on theory of strong dynamical and finite baryon density.
Cite
@article{arxiv.1410.4782,
title = {Effective Theories for QCD-like at TeV Scale},
author = {Johan Bijnens and Jie Lu},
journal= {arXiv preprint arXiv:1410.4782},
year = {2014}
}
Comments
7 pages, 2 figures, Contribution to the proceedings of the ICHEP 2014 conference, Valencia, Spain