Flavor Dependence of the S-parameter
arXiv:1008.1267 · doi:10.1016/j.physletb.2011.05.008
Abstract
We extend the results of [arXiv:1006.0207 [hep-lat]] by computing the S-parameter at two loops in the perturbative region of the conformal window. Consistently using the expression for the location of the infra-red fixed point at the two-loop order we express the S-parameter in terms of the number of flavors, colors and matter representation. We show that S, normalized to the number of flavors, increases as we decrease the number of flavors. Our findings support the conjecture presented in [arXiv:1006.0207 [hep-lat]] according to which the normalized value of the S-parameter at the upper end of the conformal window constitutes the lower bound across the entire phase diagram for the given underlying asymptotically free gauge theory. We also show that the non-trivial dependence on the number of flavors merges naturally with the non-perturbative estimate of the S-parameter close to the lower end of the conformal window obtained using gauge duality [arXiv:1007.0254 [hep-ph]]. Our results are natural benchmarks for lattice computations of the S-parameter for vector-like gauge theories.
arXiv commentVersion to match the one published in Phys. Lett. B. The file is prepared in the 2-columns RevTeX format has 9 pages, 4 figures and one table
References in corpus (74)
- The Large N Limit of Superconformal Field Theories and Supergravity
- Strong Dynamics and Electroweak Symmetry Breaking
- Unparticle Physics
- Orientifold theory dynamics and symmetry breaking
- Walking in the SU(N)
- Light Composite Higgs from Higher Representations versus Electroweak Precision Measurements -- Predictions for LHC
- Extra Families, Higgs Spectrum and Oblique Corrections
- Lattice Study of the Conformal Window in QCD-like Theories
- Dark Matter from new Technicolor Theories
- Minimal Walking Technicolor: Set Up for Collider Physics
- Ultra Minimal Technicolor and its Dark Matter TIMP
- Minimal Walking on the Lattice
- Higher representations on the lattice: numerical simulations. SU(2) with adjoint fermions
- Composite Higgs from Higher Representations
- Towards Working Technicolor: Effective Theories and Dark Matter
- Lattice Study of Conformal Behavior in SU(3) Yang-Mills Theories
- The Physical Spectrum of Conformal SU(N) Gauge Theories
- Chiral phase structure of QCD with many flavors
- Electroweak gauge bosons self--energies: complete QCD corrections
- Supersymmetry Inspired QCD Beta Function
- Zero of the discrete beta function in SU(3) lattice gauge theory with color sextet fermions
- Phase diagram of SU(2) with 2 flavors of dynamical adjoint quarks
- Evolution of the coupling constant in SU(2) lattice gauge theory with two adjoint fermions
- The physics of eight flavours
- Nearly conformal gauge theories in finite volume
- Conformal vs confining scenario in SU(2) with adjoint fermions
- Conformal Windows of SU(N) Gauge Theories, Higher Dimensional Representations and The Size of The Unparticle World
- A negative S parameter from Holographic Technicolor
- Technicolor Walks at the LHC
- The infrared dynamics of Minimal Walking Technicolor
- Light composite Higgs and precision electroweak measurements on the Z resonance: An update
- Mass anomalous dimension in SU(2) with two adjoint fermions
- Spectrum of SU(2) lattice gauge theory with two adjoint Dirac flavours
- Phase structure of SU(3) gauge theory with two flavors of symmetric-representation fermions
- Conformality or confinement: (IR)relevance of topological excitations
- Walking Technicolor and Electroweak Radiative Corrections
- Holographic Estimate of Oblique Corrections for Technicolor
- Conformal Windows of SP(2N) and SO(N) Gauge Theories
- Mesonic spectroscopy of Minimal Walking Technicolor
- Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
- Investigating the critical properties of beyond-QCD theories using Monte Carlo Renormalization Group matching
- Toward TeV Conformality
- Holographic Bosonic Technicolor
- Unparticle & Higgs as Composites
- iTIMP: isotriplet Technicolor Interacting Massive Particle as Dark Matter
- The S-parameter in Holographic Technicolor Models
- Comments on lattice gauge theories with infrared-attractive fixed points
- Higher representations on the lattice: perturbative studies
- Study of the Change from Walking to Non-Walking Behavior in a Vectorial Gauge Theory as a Function of Nf
- Behavior of the S Parameter in the Crossover Region Between Walking and QCD-Like Regimes of an SU(N) Gauge Theory
- Technifermion Representations and Precision Electroweak Constraints
- Holographic Electroweak Symmetry Breaking from D-branes
- Chiral properties of SU(3) sextet fermions
- Mass Deformed Exact S-parameter in Conformal Theories
- Unitarity in Technicolor
- Describing viable technicolor scenarios
- Conformality or confinement (II): One-flavor CFTs and mixed-representation QCD
- Constraining vectors and axial-vectors in walking technicolour by a holographic principle
- Magnetic S-parameter
- Constraining Walking and Custodial Technicolor
- Topology and higher dimensional representations
- Fourth Lepton Family is Natural in Technicolor
- Z Boson Propagator Correction in Technicolor Theories with ETC Effects Included
- Generalised bottom-up holography and walking technicolour
- Dynamical electro-weak symmetry breaking from deformed AdS: vector mesons and effective couplings
- A new scheme for the running coupling constant in gauge theories using Wilson loops
- Resizing the Conformal Window: A beta function Ansatz
- WW Scattering in Walking Technicolor
- Higher Representations Duals
- QCD Dual
- Holographic Construction of Technicolor Theory
- Metastable nonconfining states in SU(3) lattice gauge theory with sextet fermions
- `t Hooft Anomaly Matching for QCD
- Dual of QCD with One Adjoint Fermion
Cited by in corpus (20)
- Holographic Models for QCD in the Veneziano Limit
- Fundamental Composite Electroweak Dynamics: Status at the LHC
- The discontinuities of conformal transitions and mass spectra of V-QCD
- 125 GeV Higgs from a not so light Technicolor Scalar
- Scaling relations for the entire spectrum in mass-deformed conformal gauge theories
- Massive holographic QCD in the Veneziano limit
- V-QCD: Spectra, the dilaton and the S-parameter
- Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
- Holographic Walking Technicolor from D-branes
- One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models
- A Perturbative Realization of Miransky Scaling
- S and T Parameters from a Light Nonstandard Higgs versus Near Conformal Dynamics
- Technicolor and Beyond: Unification in Theory Space
- Supersymmetric Extension of Technicolor & Fermion Mass Generation
- W' and Z' limits for Minimal Walking Technicolor
- Constraining holographic technicolor
- S-parameter at Non-Zero Temperature and Chemical Potential
- Beyond the Standard Model: Charting Fundamental Interactions via Lattice Simulations
- Dark-technicolour at colliders
- Recent progress in backreacted bottom-up holographic QCD