Adler function and hadronic contribution to the muon g-2 in a nonlocal chiral quark model

Abstract

The behavior of the vector Adler function at spacelike momenta is studied in the framework of a covariant chiral quark model with instanton-like quark-quark interaction. This function describes the transition between the high energy asymptotically free region of almost massless current quarks to the low energy hadronized regime with massive constituent quarks. The model reproduces the Adler function and V-A correlator extracted from the ALEPH and OPAL data on hadronic τlepton decays, transformed into the Euclidean domain via dispersion relations. The leading order contribution from hadronic part of the photon vacuum polarization to the anomalous magnetic moment of the muon, a_μ^{hvp,1}, is estimated.

20 pages, 9 figures

References in corpus (13)

• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Updated Estimate of the Muon Magnetic Moment Using Revised Results from e+e- Annihilation
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• Predictions for g-2 of the muon and alpha_QED(M_Z^2)
• The hadronic contributions to the anomalous magnetic moment of the muon
• Improved ${\alpha }^4$ Term of the Muon Anomalous Magnetic Moment
• Vector and axial-vector correlators in a nonlocal chiral quark model
• Isospin violating effects in e+e- vs. tau measurements of the pion form factor |F_pi|^2 (s)
• Vacuum Polarisation and Hadronic Contribution to muon g-2 from Lattice QCD
• Pion distribution amplitudes within the instanton model of QCD vacuum
• Precise Measurement of the Pion Axial Form Factor in the Pi+ -> e+ nu gamma Decay
• Pion radii in nonlocal chiral quark model

Cited by in corpus (30)

• The massive analytic invariant charge in QCD
• Quark model description of the tetraquark state X(3872) in a relativistic constituent quark model with infrared confinement
• The running fine structure constant alpha(E) via the Adler function
• Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach
• The pseudoscalar hadronic channel contribution of the light-by-light process to the muon (g-2) within the nonlocal chiral quark model
• Infrared enhanced analytic coupling and chiral symmetry breaking in QCD
• A novel integral representation for the Adler function
• Pion pole light-by-light contribution to g-2 of the muon in a nonlocal chiral quark model
• Holographic like models as a five-dimensional rewriting of large-Nc QCD
• Generalized Quark Transversity Distribution of the Pion in Chiral Quark Models
• Dispersive approach to QCD and inclusive tau lepton hadronic decay
• Leading-order calculation of hadronic contributions to the muon $g-2$ using the Dyson-Schwinger approach
• Hadronic vacuum polarization function within dispersive approach to QCD
• VA\tilde V correlator within the instanton vacuum model
• An analytic method of describing $R$-related quantities in QCD
• Electromagnetic form factors of the pion and kaon from the instanton vacuum
• Photon distribution amplitudes and light-cone wave functions in chiral quark models
• Dynamical quark loop light-by-light contribution to muon g-2 within the nonlocal chiral quark model
• Status of the lepton g-2 and effects of hadronic corrections
• A fresh look at hadronic light-by-light scattering in the muon g-2 with the Dyson-Schwinger approach
• Transversity form factors of the pion in chiral quark models
• Explicit form of the R-ratio of electron-positron annihilation into hadrons
• Singlet VA \tilde V correlator within the instanton vacuum model
• Weinberg like sum rules revisited
• Dispersive approach to the axial anomaly and nonrenormalization theorem
• Pseudoscalar meson form factors and decays
• Soft gluon fields and anomalous magnetic moment of muon
• Extended nonlocal chiral-quark model for the D- and B-meson weak-decay constants
• Hadronic contributions to electroweak observables within DPT
• R-ratio of electron-positron annihilation into hadrons: higher-order pi2-terms