pi^+ - pi^0 mass difference from the Bethe-Salpeter equation

Abstract

In the framework of the Schwinger-Dyson equation and the Bethe-Salpeter equation in the improved ladder approximation, we calculate the pi^+ - pi^0 mass difference on the same footing as the pion decay constant and the QCD S parameter (or L_{10}) through the difference between the vector current correlator Π_{VV} and the axial-vector current correlator Π_{AA}. We find that all the results can be fit to the experimental values for rather large Lambda_{QCD} \sim 700 MeV which reflects the ``scale ambiguity''. By fitting to the calculated data using the pole saturated form of Π_{VV} - Π_{AA}, we also derive masses and decay constants of rho meson and a_1 meson, which we found are consistent with the experiments rather insensitively to the ``scale ambiguity''.

21 pages, LaTeX, 3 figures

References in corpus (25)

• Electroweak symmetry breaking from dimensional deconstruction
• The Littlest Higgs
• Strong Dynamics and Electroweak Symmetry Breaking
• The Minimal Moose for a Little Higgs
• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• Conformal Phase Transition in Gauge Theories
• Weak Hamiltonian, CP Violation and Rare Decays
• The Zero Temperature Chiral Phase Transition in SU(N) Gauge Theories
• Electromagnetic Splittings and Light Quark Masses in Lattice QCD
• The Phase Structure of an SU(N) Gauge Theory with N_f Flavors
• Vector Manifestation of the Chiral Symmetry
• Lattice QCD with 8 Light Quark Flavors
• Hidden Local Symmetry at One Loop
• Meson masses in large Nf QCD from the Bethe-Salpeter equation
• Wilsonian Matching of Effective Field Theory with Underlying QCD
• QCD with Large Number of Quarks: Effects of the Instanton -- Anti-instanton Pairs
• Chiral Perturbation to One Loop Including the $\rho$ Meson
• A Comment on the Zero Temperature Chiral Phase Transition in $SU(N)$ Gauge Theories
• External Gauge Invariance and Anomaly in BS Vertices and Boundstates
• Quantum Chromodynamics with Many Flavors
• Phase structure of QCD for general number of flavors
• QCD S Parameter from Inhomogeneous Bethe-Salpeter Equation
• pi+ pi0 Mass Difference in the Hidden Local Symmetry: A Dynamical Origin of Little Higgs
• Electromagnetic Splittings and Light Quark Masses

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