Linking infrared and ultraviolet parameters of pion-like states in strongly coupled gauge theories

Abstract

It has been shown previously that in a relativistic constituent-quark model, predictions for the electromagnetic form factor of the pi meson match not only experimental data but also, in the limit of large momentum transfers, the asymptotics derived from Quantum Chromodynamics (QCD). This is remarkable since no parameters are introduced to provide for this infrared-ultraviolet link. Here, we follow this approach, going beyond QCD. We obtain numerical relations between the gauge coupling constant, the decay constant and the charge radius of the pion-like meson in general strongly-coupled theories. These relations are compared to published lattice results for SU(2) gauge theory with two fermion flavours, and a good agreement is demonstrated. Further applications of the approach, to be explored elsewhere, include composite Higgs and dark-matter models.

arXiv commentV2: 19 pages, 6 figures, version accepted by EPJC

References in corpus (30)

• Asymmetric Dark Matter: Theories, Signatures, and Constraints
• Review of asymmetric dark matter
• B-physics anomalies: a guide to combined explanations
• Flavour anomalies after the $R_{K^{\ast }}$ measurement
• Fundamental Composite (Goldstone) Higgs Dynamics
• The pion: an enigma within the Standard Model
• Lattice Perturbation Theory
• Technicolor Dark Matter
• Fundamental Composite Higgs Dynamics on the Lattice: SU(2) with Two Flavors
• Scaling study of the pion electroproduction cross sections and the pion form factor
• Fundamental Composite Electroweak Dynamics: Status at the LHC
• Composite Goldstone Dark Matter: Experimental Predictions from the Lattice
• Higher representations on the lattice: perturbative studies
• Relativistic instant-form approach to the structure of two-body composite systems (short version)
• Relativistic instant-form approach to the structure of two-body composite systems
• The radius of the rho meson determined from its decay constant
• On a possible estimation of the constituent--quark parameters from Jefferson Lab experiments on pion form factor
• Relativistic Instant--Form Approach To The Structure Of Two-Body Composite Systems. Nonzero Spin
• Relativistic Instant--Form Approach to the Structure of Two-Body Composite Systems. II. Nonzero Spin
• Nonperturbative relativistic approach to pion form factor: predictions for future JLab experiments
• Magnetic moment of the rho meson in instant-form relativistic quantum mechanics
• Pion Form Factor and Quark Mass Evolution in a Light-Front Bethe-Salpeter Model
• Non-perturbative renormalization of QCD
• Transition from a relativistic constituent-quark model to the quantum-chromodynamical asymptotics: a quantitative description of the pion electromagnetic form factor at intermediate values of the momentum transfer
• Form Factors of Composite Systems by Generalized Wigner-Eckart Theorem for Poincaré group
• The K-meson form factor and charge radius: linking low-energy data to future high-energy Jefferson Laboratory results
• The Impact of QCD and Light-Cone Quantum Mechanics on Nuclear Physics
• QCD with overlap fermions: Running coupling and the 3-loop beta-function
• Asymptotics of the deuteron form factors in the nucleon model and JLab experiments
• Relation between bare lattice coupling and MSbar coupling at one loop with general lattice fermions

Cited by in corpus (1)

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