S-parameter and pseudo-Nambu-Goldstone boson mass from lattice QCD

Abstract

We present a lattice calculation of $L_{10}$, one of the low energy constants in Chiral Perturbation Theory, and the charged-neutral pion squared mass splitting, using dynamical overlap fermion. Exact chiral symmetry of the overlap fermion allows us to reliably extract these quantities from the difference of the vacuum polarization functions for vector and axial-vector currents. In the context of the technicolor models, these two quantities are read as the $S$-parameter and the pseudo-Nambu-Goldstone boson mass respectively, and play an important role in discriminating the models from others. This calculation can serve as a feasibility study of the lattice techniques for more general technicolor gauge theories.

9 pages, 3 figures, references added, minor corrections made, version to appear in PRL

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• Scaling relations for the entire spectrum in mass-deformed conformal gauge theories
• Running coupling constant of ten-flavor QCD with the Schrödinger functional method
• Determination of the Chiral Couplings L_10 and C_87 from Semileptonic Tau Decays
• Parity Doubling and the S Parameter Below the Conformal Window
• Updated determination of chiral couplings and vacuum condensates from hadronic tau decay data
• Radiative contribution to the composite-Higgs potential in a two-representation lattice model
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• Lattice study of vacuum polarization function and determination of strong coupling constant
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• Violation of chirality of the Möbius domain-wall Dirac operator from the eigenmodes
• Lattice Study on quantum-mechanical dynamics of two-color QCD with six light flavors
• Chiral sum rules and vacuum condensates from tau-lepton decay data
• QCD Description of Hadronic Tau Decays
• Hadronic contribution to the muon g-2: a theoretical determination
• A Combined NNLO Lattice-Continuum Determination of $L_{10}^r$
• Running coupling constant and mass anomalous dimension of six-flavor SU(2) gauge theory
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• NNLO low-energy constants from flavor-breaking chiral sum rules based on hadronic tau-decay data
• Lattice Gauge Theories at the Energy Frontier
• Calculation of the nucleon sigma term and strange quark content with two flavors of dynamical overlap fermions
• Recent Progress in Lattice QCD
• Dispersion Relations for Electroweak Observables in Composite Higgs Models
• Low-energy constant $L_{10}$ in a two-representation lattice theory
• S-parameter at Non-Zero Temperature and Chemical Potential
• Physics results from dynamical overlap fermion simulations
• Radiative contribution to the effective potential in a composite Higgs model
• From hadronic tau decays to the chiral couplings L_10 and C_87
• Studies of Conformal Behavior in Strongly Interacting Quantum Field Theories
• Spontaneous chiral symmetry breaking on the lattice
• Lattice Kaon Physics
• S-parameter and vector decay constant in QCD with eight fundamental fermions