Bootstrap analysis of meromorphic observables in large-N QCD yields universal and SVZ-type bounds that constrain chiral Lagrangian parameters and link hadronic data to asymptotic freedom.
Large N_c in chiral perturbation theory
4 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The construction of the effective Lagrangian relevant for the mesonic sector of QCD in the large N_c limit meets with a few rather subtle problems. We thoroughly examine these and show that, if the variables of the effective theory are chosen suitably, the known large N_c counting rules of QCD can unambiguously be translated into corresponding counting rules for the effective coupling constants. As an application, we demonstrate that the Kaplan-Manohar transformation is in conflict with these rules and is suppressed to all orders in 1/N_c. The anomalous dimension of the axial singlet current generates an additional complication: The corresponding external field undergoes nonmultiplicative renormalization. As a consequence, the Wess-Zumino-Witten term, which accounts for the U(3)_R x U(3)_L anomalies in the framework of the effective theory, contains pieces that depend on the running scale of QCD. The effect only shows up at nonleading order in 1/N_c, but requires specific unnatural parity contributions in the effective Lagrangian that restore renormalization group invariance.
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Calculates and unitarizes scalar, vector, and tensor two-meson form factors in U(3) resonance chiral theory using parameters from previous meson-meson scattering studies.
REDTOP targets O(10^14) eta and O(10^12) eta-prime decays to probe four hidden sector portals and test CP/T invariance plus lepton universality.
Including ππ final-state interactions in large-Nc ChPT improves agreement with η′ → η ππ data and yields Dalitz parameters a = -0.085(18)stat(4)syst, b = -0.081(10)stat(6)syst, d = -0.045(6)stat(8)syst.
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Bootstrapping Pion Form Factors at Large $N$
Bootstrap analysis of meromorphic observables in large-N QCD yields universal and SVZ-type bounds that constrain chiral Lagrangian parameters and link hadronic data to asymptotic freedom.
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Unified study of scalar, vector and tensor two-meson form factors in $U(3)$ resonance chiral theory
Calculates and unitarizes scalar, vector, and tensor two-meson form factors in U(3) resonance chiral theory using parameters from previous meson-meson scattering studies.
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Hidden-sectors search and probe of discrete symmetries at the REDTOP experiment
REDTOP targets O(10^14) eta and O(10^12) eta-prime decays to probe four hidden sector portals and test CP/T invariance plus lepton universality.
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Study of $\eta^\prime \to \eta \pi\pi $ Decays in Large-$N_C$ Chiral Perturbation Theory
Including ππ final-state interactions in large-Nc ChPT improves agreement with η′ → η ππ data and yields Dalitz parameters a = -0.085(18)stat(4)syst, b = -0.081(10)stat(6)syst, d = -0.045(6)stat(8)syst.