The flavor dependence of $m_{\varrho }/f_{\pi }$

Abstract

We calculate the $m_{\varrho }/f_{\pi }$ ratio in the chiral and continuum limit for $SU(3)$ gauge theory coupled to $N_f=2,3,4,5,6$ fermions in the fundamental representation. Keeping all systematic effects under full control we find no statistically significant $N_f$-dependence; $m_{\varrho }/f_{\pi }=7.95(15)$. Assuming the KSRF-relations we conclude that 3 other low energy quantities related to the vector meson are also $N_f$-independent within errors including the $\varrho \pi \pi$ coupling $g_{\varrho \pi \pi }$. If the model is thought of as a strong dynamics inspired composite Higgs model our results indicate that the experimentally most easily accessible new composite particle, the vector meson, and its properties may be robust and independent of the fermion content of the model as long as the gauge group is $SU(3)$, provided $N_f$-independence extends all the way to the conformal window.

arXiv comment16 pages, lots of figures, references added

References in corpus (25)

• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• High-precision scale setting in lattice QCD
• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Finite volume effects for meson masses and decay constants
• Lattice QCD at the physical point: Simulation and analysis details
• Testing and tuning symplectic integrators for Hybrid Monte Carlo algorithm in lattice QCD
• Nearly conformal gauge theories in finite volume
• Light Asymmetric Dark Matter on the Lattice: SU(2) Technicolor with Two Fundamental Flavors
• Strongly interacting dynamics and the search for new physics at the LHC
• Can the nearly conformal sextet gauge model hide the Higgs impostor?
• Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
• The lattice gradient flow at tree-level and its improvement
• Light flavor-singlet scalars and walking signals in $N_f=8$ QCD on the lattice
• SU(2) Gauge Theory with Two Fundamental Flavours: a Minimal Template for Model Building
• Mesons in large-N QCD
• Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
• Vector Mesons and an Interpretation of Seiberg Duality
• Parity Doubling and the S Parameter Below the Conformal Window
• Twisted Mass, Overlap and Creutz Fermions: Cut-off Effects at Tree-level of Perturbation Theory
• Update on SU(2) gauge theory with NF = 2 fundamental flavours
• Topological susceptibility in staggered fermion chiral perturbation theory
• Electroweak interactions and dark baryons in the sextet BSM model with a composite Higgs particle
• A new method for the beta function in the chiral symmetry broken phase
• Lattice QCD with 12 Quark Flavors: A Careful Scrutiny
• From Lattice Strong Dynamics to Phenomenology

Cited by in corpus (11)

• Sp(4) gauge theories on the lattice: $N_f=2$ dynamical fundamental fermions
• Sp(4) gauge theories on the lattice: Quenched fundamental and antisymmetric fermions
• Repurposing lattice QCD results for composite phenomenology
• The Large $N_c$ limit of QCD on the lattice
• Topological susceptibility in QCD with two flavors and 3-5 colors -- a pilot study
• Scattering of Goldstone Bosons and resonance production in a Composite Higgs model on the lattice
• Center vortices and the $\mathrm{SU}(3)$ conformal window
• Composite dynamics in Sp($2N$) gauge theories
• Dark-technicolour at colliders
• Center vortices in the novel phase of staggered fermions
• More on the flavor dependence of $m_{\varrho }/f_{\pi }$