Quantum Corrections in the Resonance Chiral Theory

Abstract

This PhD thesis is a first step towards the control of the quantum corrections in the Resonance Chiral Theory, the suggested framework to handle QCD in the resonance region. After a theoretical introduction, Chapter 3 is devoted to calculate the vector form factor of the pion at the next-to-leading order in the 1/N(C) expansion. The ultraviolet behaviour of the calculation is analyzed, together with the needed counterterms in the renormalization procedure. The long-distance limit allows to determine the resonance contribution to the low-energy constants of Chiral Perturbation Theory at the NLO in 1/N(C). In Chapter 4 a study of the two-body hadronic form factors from large-N(C) QCD is shown. We present a dispersive method which allows to investigate the chiral LECs and we perform a NLO calculation of the scalar and pseudoscalar two-point functions. Imposing the correct QCD short-distance constraints, one determines their difference Pi(t)=Pi_S(t)-Pi_P(t) in terms of the pion decay constant and resonance masses. Its low-momentum expansion fixes then the ChPT coupling L(8). In Chapter 5 we evaluate the beta-function at one-loop of the resonance lagrangian with one multiplet of scalar and pseudoscalar resonances, up to bilinear couplings in the resonance fields, by using the background field method.

PhD Thesis. University Valencia, January 2007. PhD Advisors: A. Pich and J. Portoles

References in corpus (41)

• Rigorous QCD Analysis of Inclusive Annihilation and Production of Heavy Quarkonium
• New features of FORM
• Chiral perturbation theory
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• Large N_c in chiral perturbation theory
• The Mesonic Chiral Lagrangian of Order $p^6$
• Towards a consistent estimate of the chiral low-energy constants
• Renormalization of chiral perturbation theory to order p^6
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Effective Field Theory Description of the Pion Form Factor
• Strangeness-changing scalar form factors
• Pion and Kaon Electromagnetic Form Factors
• The < S P P > Green function and SU(3) breaking in K_{l3} decays
• The Strange Quark Mass from QCD Sum Rules
• <VAP> Green Function in the Resonance Region
• Chiral Perturbation Theory for Vector Mesons
• Meson resonances, large N_c and chiral symmetry
• Chiral Sum-Rules for ${\mathcal{L}}_{(6)}^{WZ}$ Parameters and Application to ${\pi }^0,\eta ,{\eta }^{\prime }$ Decays
• Electromagnetic corrections in the anomaly sector
• tau -> (3 pions) nu_tau decays in the Resonance Effective Theory
• Effective Field Theory
• Colourless Mesons in a Polychromatic World
• The electroweak pi^+ - pi^0 mass difference and weak matrix elements in the 1/Nc expansion
• Testing an approximation to large-Nc QCD with a toy model
• Rho Meson Properties in the Chiral Theory Framework
• Electromagnetic Contributions to Vector Meson Masses and Mixings
• Renormalization group equations for effective field theories
• The 7/11 rule: an estimate of m_rho/f_pi
• Electromagnetism in nonleptonic weak interactions
• Quenched Chiral Perturbation Theory for Vector Mesons
• Meson Properties in the 1/N_c-corrected NJL model
• An example of resonance saturation at one loop
• Spin-1 Correlators at Large NC: Matching OPE and Resonance Theory up to O(alpha_s)
• Spin-1 resonance contributions to the weak Chiral Lagrangian: the vector field formulation
• Chiral Corrections to Vector Meson Decay Constants
• Aspects of Quantum Chromodynamics
• Hamiltonian Quantization of Effective Lagrangians with Massive Vector Fields
• Generating Functional for Strong and Nonleptonic Weak Interactions
• Explicit generating functional for pions and virtual photons
• The one-loop functional of chiral SU(2)
• Large N_c in Chiral Resonance Lagrangians

Cited by in corpus (9)

• Form Factors in the radiative pion decay
• Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
• The vector form factor at the next-to-leading order in 1/N(C): chiral couplings L9(mu) and C88(mu) - C90(mu)
• One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models
• Hadronic decays of the tau lepton: Theoretical outlook
• High energy constraints in the octet SS-PP correlator and resonance saturation at NLO in 1/Nc
• Determining chiral couplings at NLO
• Hadronic and radiative decays of the tau lepton
• High order chiral Lagrangians with vector mesons in different approaches