On the 1/N expansion in chiral perturbation theory

Abstract

Talk given at QCD 97, Montpellier, July 1997. In the first part of the talk, I presented a review of the results for the light quark masses obtained on the basis of chiral perturbation theory. As this material is described elsewhere, the following notes only concern the second part, which dealt with the behaviour of the effective theory in the large N_c limit.

Cited by in corpus (189)

• The anomalous magnetic moment of the muon in the Standard Model
• The Muon g-2
• FLAG Review 2019
• Mixing and Decay Constants of Pseudoscalar Mesons
• FLAG Review 2021
• Experimental Tests of Factorization in Charmless Non-Leptonic Two-Body B Decays
• Review of lattice results concerning low energy particle physics
• Quark structure of pseudoscalar mesons
• Mixing and Decay Constants of Pseudoscalar Mesons: The Sequel
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Phenomenology of GeV-scale Heavy Neutral Leptons
• Towards a consistent estimate of the chiral low-energy constants
• Charmless Hadronic Two-body Decays of B_u and B_d Mesons
• Study of the eta-eta' system in the two mixing angle scheme
• An Update of the HLS Estimate of the Muon g-2
• Meson Transition Form Factors in Light-Front Holographic QCD
• CP violation and kaon-pion interactions in B --> K pi+ pi- decays
• A viable QCD axion in the MeV mass range
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• Eta bound states in nuclei: a probe of flavour-singlet dynamics
• η- and η'-mesic nuclei and U_A(1) anomaly at finite density
• The two-gluon components of the eta and eta' mesons to leading-twist accuracy
• eta - eta prime Mixing -From electromagnetic transitions to weak decays of charm and beauty hadrons
• Measurement of the eta and etaprime transition form factors at q^2=112 GeV^2
• Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates
• Phenomenological Analysis of Charmless Decays B-->PV with QCD Factorization
• Model-independent approach to eta -> pi+ pi- gamma and eta' -> pi+ pi- gamma
• Pseudoscalar glueball mass from $\eta$-${\eta }^{\prime }$-$G$ mixing
• FLAG Review 2024
• The form factors for the photon to pseudoscalar meson transitions - an update
• Radiative Decays, Nonet Symmetry and SU(3) Breaking
• Etaprime and Eta Mesons with Connection to Anomalous Glue
• B->eta(') Form Factors in QCD
• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• The ${\eta }^{\prime }$ transition form factor from space- and time-like experimental data
• ηand η' transition form factors from rational approximants
• Light pseudoscalar mesons in a nonlocal SU(3) chiral quark model
• The Dipion Mass Spectrum In e+e- Annihilation and tau Decay: A Dynamical (rho0, omega, phi) Mixing Approach
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Transition form factors ${\gamma }^{\ast }\gamma \to \eta$ and ${\gamma }^{\ast }\gamma \to {\eta }^{\prime }$ in QCD
• The eta transition form factor from space- and time-like experimental data
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Analysis of U${}_A$(1) symmetry-breaking and restoration effects on the scalar-pseudoscalar spectrum
• Nonfactorizable Effects in Spectator and Penguin Amplitudes of Hadronic Charmless B Decays
• Variational Analysis of Mass Spectra and Decay Constants for Ground State Pseudoscalar and Vector Mesons in Light-Front Quark Model
• Meson properties at finite temperature in a three flavor nonlocal chiral quark model with Polyakov loop
• Radiative Kaon Decays and the Penguin Contribution to the Delta I = 1/2 Rule
• B -> K eta(') decay in perturbative QCD
• Central exclusive production within the Durham model: a review
• Decays of $J/\psi$ and ${\psi }^{\prime }$ into vector and pseudoscalar meson and the pseudoscalar glueball-$q\bar{q}$ mixing
• Muon g-2 estimates : Can one trust Effective Lagrangians and global fits ?
• The eta and eta' mesons in QCD
• Bootstrapping Pions at Large $N$
• On the ${\eta }^{\prime }$ Gluonic Admixture
• Vector meson $\omega$-$\varphi$ mixing and their form factors in light-cone quark model
• Measurement of Gamma(phi -> eta' gamma)/Gamma(phi -> eta gamma) and the pseudoscalar mixing angle
• Rare meson decays into very light neutralinos
• Radiative VPgamma transitions and eta-eta' mixing
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Phenomenological evidence for the energy dependence of the $\eta -{\eta }^{\prime }$ mixing angle
• Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
• Non-lattice determinations of the light quark masses
• A study of the eta and eta' mesons with improved staggered fermions
• Isospin symmetry breaking through pi^0 - eta -eta' mixing
• Eta-eta' masses and mixing: a large N_c reappraisal
• Chiral dynamics predictions for eta' -> eta pi pi
• Puzzles in Hadronic Physics and Novel Quantum Chromodynamics Phenomenology
• Anomalous decays of eta' and eta into four pions
• Charmless Hadronic Two-body Decays of the B_s Mesons
• Non-leptonic two-body decays of the Bc meson in light-front quark model and QCD factorization approach
• The Kl3 scalar form factors in the standard model
• Charmless two-body B decays: A global analysis with QCD factorization
• The role of the chiral anomaly in polarized deeply inelastic scattering I: Finding the triangle graph inside the box diagram in Bjorken and Regge asymptotics
• Pseudoscalar glueball and $\eta -{\eta }^{\prime }$ mixing
• Light-Cone Sum Rules for the $D_{(s)}\to {\eta }^{(\prime )}l{\nu }_l$ Form Factor
• The ${\eta }^{\prime }{g}^{\ast }{g}^{\ast }$ vertex with arbitrary gluon virtualities in the perturbative QCD hard scattering approach
• η and η' mesons from Nf=2+1+1 twisted mass lattice QCD
• Pi pi scattering lengths at O(p^6) revisited
• Deconfinement and chiral restoration in nonlocal SU(3) chiral quark models
• Transition Form Factors and Mixing of Pseudoscalar Mesons from Anomaly Sum Rule
• Chiral unitary approach to η' N scattering at low energies
• Study of color suppressed modes $B^0\to {\bar{D}}^{(\ast )0}{\eta }^{(\prime )}$
• Anomalies and WZW-term of two-flavour QCD
• Study of η-η' mixing from radiative decay processes
• Completeness and Complementarity for $\mu \to e\gamma$, $\mu \to 3e$ and $\mu \to e$ conversion
• QCD axial anomaly enhances the $\eta {\eta }^{\prime }$ decay of the hybrid candidate ${\eta }_1(1855)$
• Effective-field theory analysis of the ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }$ decays
• Anomalous $\eta /{\eta }^{\prime }$ Decays: The Triangle and Box Anomalies
• Determination of the $\eta$ and ${\eta }^{\prime }$ Mixing Angle from the Pseudoscalar Transition Form Factors
• Final state interaction and a light mass "exotic" resonance
• Nonleptonic two-body B-decays including axial-vector mesons in the final state
• Unified study of $J/\psi \to PV$, $P{\gamma }^{(\ast )}$ and light hadron radiative processes
• Axial anomaly and mixing: from real to highly virtual photons
• Central exclusive production as a probe of the gluonic component of the eta' and eta mesons
• $B\to {\eta }^{(\prime )}({\ell }^{-}{\bar{\nu }}_{\ell },{\ell }^{+}{\ell }^{-},K,K^{\ast })$ decays in the quark-flavor mixing scheme
• SU(3) breaking and Hidden Local Symmetry
• Interpolation Formulas for the Eta-Gamma and Eta'-Gamma Transition Form Factors
• Spacelike and timelike form factors for the $({\pi }^0,\eta ,{\eta }^{\prime })\to {\gamma }^{\ast }\gamma$ transitions in the light-front quark model
• Consistent analysis of the reaction $\gamma p\to p{\eta }^{\prime }$ and $pp\to pp{\eta }^{\prime }$
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• An Effective Approach to VMD at One Loop Order and the Departures from Ideal Mixing for Vector Mesons
• U(3) chiral perturbation theory with infrared regularization
• Towards a Precision Determination of alpha in B \to pi pi Decays
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Pseudoscalar Meson Decay Constants and Couplings, the Witten-Veneziano Formula beyond large N_c, and the Topological Susceptibility
• Branching Ratio and CP Asymmetry of $B^0\to {\eta }^{(\prime )}{\eta }^{(\prime )}$ Decays in the Perturbative QCD Approach
• Revisiting the U_A(1) problems
• Chiral loops and a_0(980) exchange in ϕ->π^0ηγ
• ${\pi }^0$-$\eta$-${\eta }^{\prime }$ mixing from $V\to P\gamma$ and $P\to V\gamma$ decays
• Scalar glueballs: Constraints from the decays into $\eta$ or ${\eta }^{\prime }$
• $\eta$-${\eta }^{\prime }$ Mixing in Large-$N_c$ Chiral Perturbation Theory
• Long-lived neutral fermions at the DUNE near detector
• An Analysis of the Inclusive Decay ${\rm Y}(1S)\to {\eta }^{\prime }X$ and Constraints on the ${\eta }^{\prime }$-Meson Distribution Amplitudes
• Correlator of Topological Charge Densities in Instanton Model in QCD
• Light Scalar Mesons in the Improved Ladder QCD
• Heavy Quark Symmetry in Isosinglet Nonleptonic B-Decays
• Axial exchange currents and nucleon spin
• Primakoff production of ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ in the Coulomb field of a nucleus
• Two-photon decays of pi^0, eta and eta-prime
• Exclusive rare $B_s\to (K,\eta ,{\eta }^{\prime }){\ell }^{+}{\ell }^{-}$ decays in the light-front quark model
• Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$
• Radiative ${\eta }^{\prime }$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• ${\eta }^{\prime }\to \eta \pi \pi$ decays in unitarized resonance chiral theory
• The role of K^*_0(1430) in D->PK and τ->KPν_τdecays
• Effective-field theory analysis of the ${\tau }^{-}\to K^{-}({\eta }^{(\prime )},K^0){\nu }_{\tau }$ decays
• Nonleptonic charmless two-body B decays involving tensor mesons in the covariant light-front approach
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Charged lepton flavour change and Non-Standard neutrino Interactions
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• Exclusive $B\to PV$ Decays and CP Violation in the General two-Higgs-doublet Model
• Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratios
• BHLS${}_2$ Upgrade : $\tau$ spectra, muon HVP and the [${\pi }^0,\eta ,{\eta }^{\prime }$] System
• Axion-meson mixing in light of recent lattice $\eta$-${\eta }^{\prime }$ simulations and their two-photon couplings within $U(3)$ chiral theory
• Quark masses in QCD: a progress report
• Computing the eta and eta' Mesons in Lattice QCD
• eta and eta' in a coupled Schwinger-Dyson and Bethe-Salpeter approach. II. The gamma^* gamma transition form factors
• Possible large direct CP asymmetry in hadronic B+- -> π+- η' decays
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• $C$ and $CP$ violation in effective field theories
• Revisiting the $P$-wave charmonium radiative decays $h_c\to \gamma {\eta }^{(\prime )}$ with relativistic corrections
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme
• Two-photon decays and transition form factors of ${\pi }^0$, $\eta$, and ${\eta }^{\prime }$ in large-$N_c$ chiral perturbation theory
• Power corrections to the space-like transition form factor F_{η^{\prime}g^{*}g^{*}}(Q^2,ω)
• Heavy Baryonic Decays of Λ_b \to Λη^{(\prime)} and Nonspectator Contribution
• Semi-inclusive B Decays and Direct CP Violation in QCD Factorization
• G-parity breaking in ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }$ decays induced by the ${\eta }^{(\prime )}\gamma \gamma$ form factor
• Axial and pseudoscalar current correlators and their couplings to eta and etaprime mesons
• Scalar meson dynamics in Chiral Perturbation Theory
• Revisit of tensor-meson nonet in resonance chiral theory
• $\eta -{\eta }^{\prime }$ mixing
• Analytical determination of the QCD quark masses
• A $U_A(1)$ symmetry restoration scenario supported by the generalized Witten-Veneziano relation and its analytic solution
• Radiative three-body D-meson decays in and beyond the standard model
• Decays of the $\hat{\rho }(1^{-+})$ Exotic Hybrid and $\eta$-${\eta }^{\prime }$ Mixing
• The photon to pseudoscalar meson transition form factors
• Tri-meson-mixing of $\pi$-$\eta$-${\eta }^{\prime }$ and $\rho$-$\omega$-$\varphi$ in the light-cone quark model
• Quark-hadron duality, axial anomaly and mixing
• Emergent Gauge Symmetries and Particle Physics
• Effective-Lagrangian study of ${\psi }^{\prime }(J/\psi )\to VP$ and the insights into $\rho \pi$ puzzle
• Axial U(1) dynamics in eta and eta' photoproduction
• $\eta -{\eta }^{\prime }$ Mixing Angle from Vector Meson Radiative Decays
• Primakoff effect in eta-photoproduction off protons
• New-physics signatures via $CP$ violation in ${\eta }^{(\prime )}\to {\pi }^0{\mu }^{+}{\mu }^{-}$ and ${\eta }^{\prime }\to \eta {\mu }^{+}{\mu }^{-}$ decays
• Electromagnetic axial anomaly in a generalized linear sigma model
• The derivative of the topological susceptibility at zero momentum and an estimate of ${\eta }^{\prime }$ mass in the chiral limit
• U_A(1) Symmetry Breaking and eta, eta prime mesons in the Bethe-Salpeter Approach
• B decays into two light pseudoscalar mesons and possible effects of enhanced b --> s g
• Determining weak phase gamma and probing new physics in b->s transitions from B->eta(eta')K
• $\eta$ and ${\eta }^{\prime }$ mesons in the Dyson-Schwinger approach using a generalization of the Witten-Veneziano relation
• ${\chi }_c$ decays and the gluon content of the ${\eta }^{\prime }$, $\eta$ mesons
• On some implications of the BaBar data on the ${\gamma }^{\ast }{\eta }^{\prime }$ transition form factor
• Selecting the physical solution via $\eta$-${\eta }^{\prime }$ mixing
• $\eta -{\eta }^{\prime }$ mixing and the next-to-leading-order power correction
• $1/N_c$ Nambu -- Jona-Lasinio model: ${\pi }^0$, $\eta$ and ${\eta }^{\prime }$ mesons
• Can the Mechanism for ${\pi }_1\to \eta \pi ,{\eta }^{\prime }\pi$ Hybrid Decays be Detected?
• Mixing effects of $\eta -{\eta }^{\prime }$ in ${\Lambda }_b\to \Lambda {\eta }^{{(}^{\prime })}$ decays
• Charm Radiative Decays with Neutral Mesons D^0 -> K^0(bar) pi^0 gamma, D^0 -> K^0(bar) eta (eta') gamma
• Account for axial vector mesons in the $\eta \to {\pi }^{+}{\pi }^{-}\gamma$ and ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$ decays
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Pseudoscalar transition form factors: $(g-2)$ of the muon, pseudoscalar decays into lepton pairs, and the $\eta -{\eta }^{\prime }$ mixing
• Rare weak decays of ${\eta }^{\prime }\to K\pi$
• Branching ratios and CP asymmetries in charmless nonleptonic B decays to radially excited mesons
• Lifetime of the eta' meson at low temperature
• Radiative vertex $VP\gamma$ and $\eta -{\eta }^{\prime }$ mixing in light-cone sum rules
• Pseudoscalar Transition Form Factors from Rational Approximants
• Probing leptophobic dark sector with a pseudoscalar portal in the NA64 experiment at CERN
• Scalar and pseudoscalar correlators in Resonance Chiral Theory