6533b855fe1ef96bd12afdd9

RESEARCH PRODUCT

Effective Theories for QCD-like at TeV Scale

Johan BijnensJie Lu

subject

QuarkNuclear and High Energy PhysicsParticle physicsChiral perturbation theoryTechnicolorHigh Energy Physics::LatticeSpontaneous symmetry breakingNuclear TheoryFOS: Physical sciencesTechnicolorChiral Lagrangian01 natural sciencesHigh Energy Physics - Phenomenology (hep-ph)High Energy Physics - LatticeGauge group0103 physical sciencesEffective field theory010306 general physicsLattice Gauge Field TheoriesBosonPhysicsQuantum chromodynamics010308 nuclear & particles physicsHigh Energy Physics - Lattice (hep-lat)High Energy Physics::Phenomenologychiral extrapolationSpontaneous Symmetry BreakingHigh Energy Physics - PhenomenologyComposite ModelsHigh Energy Physics::Experiment

description

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 $n$ 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.

https://doi.org/10.1016/j.nuclphysbps.2015.09.262