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.

24 pages

References in corpus (6)

• The physics of eight flavours
• Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
• Toward TeV Conformality
• A Chiral Perturbation Theory Primer
• Technicolor on the Lattice
• Spontaneous chiral symmetry breaking on the lattice

Cited by in corpus (53)

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• Spectroscopy of SU(4) composite Higgs theory with two distinct fermion representations
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
• Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions
• Extending Chiral Perturbation Theory with an Isosinglet Scalar
• Thermal Dark Matter from a Confining Sector
• Massive holographic QCD in the Veneziano limit
• Analysis of a Dilaton EFT for Lattice Data
• The Dilaton Potential and Lattice Data
• Meson-meson Scattering in QCD-like Theories
• Gravitational wave from dark sector with dark pion
• One-loop Chiral Perturbation Theory with two fermion representations
• Spectroscopy of SU(4) gauge theory with two flavors of sextet fermions
• Lattice studies of the $Sp(4)$ gauge theory with two fundamental and three antisymmetric Dirac fermions
• Cumulants of the QCD topological charge distribution
• Classification of NLO operators for composite Higgs models
• QCD-like theories at nonzero temperature and density
• QCD $\theta$-vacuum energy and axion properties
• Lattice study of large $N_c$ QCD
• Composite Higgs Dynamics on the Lattice
• Large $N_c$ scaling of meson masses and decay constants
• S and T Parameters from a Light Nonstandard Higgs versus Near Conformal Dynamics
• The Large $N_c$ limit of QCD on the lattice
• Singlet channel scattering in a Composite Higgs model on the lattice
• Leading logarithms in N-flavour mesonic Chiral Perturbation Theory
• Minimal Fundamental Partial Compositeness
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility
• A linear sigma model for multiflavor gauge theories
• WW Scattering Parameters via Pseudoscalar Phase Shifts
• An Analytic Analysis of the Pion Decay Constant in Three-Flavoured Chiral Perturbation Theory
• Neutral pseudoscalar meson decays: pi0, eta -> gamma gamma in SU(3) limit
• Sextet Model with Wilson Fermions
• The SU(3) Sextet Model with Wilson Fermions
• One-loop renormalization of the chiral Lagrangian for spinless matter fields in the SU(N) fundamental representation
• Two-Point Functions and S-Parameter in QCD-like Theories
• Twelve fundamental and two sextet fermion flavors
• The sextet gauge model, light Higgs, and the dilaton
• Chiral symmetry breaking in nearly conformal gauge theories
• Extreme Technicolor & The Walking Critical Temperature
• Examining the Low Energy Dynamics of Walking Gauge Theory
• Six-meson amplitude in QCD-like theories
• Conformal symmetry vs. chiral symmetry breaking in the SU(3) sextet model
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$
• Composite (Goldstone) Higgs Dynamics on the Lattice: Spectrum of SU(2) Gauge Theory with two Fundamental Fermions
• Phase ambiguity of the measure for continuum Majorana fermions
• Leading logarithms for mesons and nucleons
• Status of Chiral Meson Physics
• Lattice study of ChPT beyond QCD
• Soft pion scattering in infrared-conformal gauge-fermion theories