Tensor meson exchange at low energies

Abstract

We complete the analysis of meson resonance contributions to chiral low-energy constants of O(p^4) by including all quark-antiquark bound states with orbital angular momentum less or equal to one. Different tensor meson Lagrangians used in previous work are shown to produce the same final results for the low-energy constants once QCD short-distance constraints are properly implemented. We also discuss the possible relevance of axial-vector mesons with odd C-parity.

20 pages, comparison with previous work updated, typos removed, results unchanged, version to appear in EPJC

References in corpus (18)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Roy equation analysis of pi pi scattering
• Strangeness-changing scalar form factors
• Matching Long and Short Distances in Large-Nc QCD
• Low-Energy Photon-Photon Collisions to Two-Loop Order
• Chiral Perturbation Theory Beyond One Loop
• Decay of pseudoscalars into lepton pairs and large-Nc QCD
• Meson resonances, large N_c and chiral symmetry
• Tensors Mesons in AdS/QCD
• Colourless Mesons in a Polychromatic World
• The 7/11 rule: an estimate of m_rho/f_pi
• Lowest tensor-meson resonances contributions to the chiral perturbation theory low energy coupling constants
• Chiral Perturbation Theory and the f2(1270) resonance
• Analytic Approaches to Kaon Physics
• The Low Energy Expansion for Pion-Pion Scattering and Crossing Symmetry in Dispersion Relations
• Chiral Symmetry Aspects of the Scalars
• Large N_c in Chiral Resonance Lagrangians

Cited by in corpus (35)

• Reconciling threshold and subthreshold expansions for pion-nucleon scattering
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• Anomalous decay and scattering processes of the eta meson
• One meson radiative tau decays
• Large-Nc Properties of the rho and f0(600) Mesons from Unitary Resonance Chiral Dynamics
• Chiral dynamics in U(3) unitary chiral perturbation theory
• Chiral dynamics predictions for eta' -> eta pi pi
• Effective-field theory analysis of the ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }$ decays
• Nucleon matrix elements of the antisymmetric quark tensor
• A Theory of Dark Pions
• Aspects of the low-energy constants in the chiral Lagrangian for charmed mesons
• Lepton-flavour violation in hadronic tau decays and $\mu -\tau$ conversion in nuclei
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• How to employ ${\bar{B}}_d^0\to J/\psi (\pi \eta ,\bar{K}K)$ decays to extract information on $\pi \eta$ scattering
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• Transversity form factors of the pion in chiral quark models
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Dispersive analysis of the Primakoff reaction $\gamma K\to K\pi$
• Resonance saturation of the chiral couplings at NLO in 1/Nc
• Dark Matter Stability without New Symmetries
• Computation of the $p^6$ order low-energy constants with tensor sources
• A bottom-up approach within the electroweak effective theory: constraining heavy resonances
• Revisit of tensor-meson nonet in resonance chiral theory
• Lurking pseudovectors below the TeV scale
• Refining the scalar and tensor contributions in $\tau \to \pi \pi \pi {\nu }_{\tau }$ decays
• Study of the axial-vector and tensor resonant contributions to the $D\to VP{\ell }^{+}{\nu }_{\ell }$ decays based on SU(3) flavor analysis
• Note on renormalization of the spin-1 resonance propagator at one loop order
• Light-flavor resonance dynamics in the $U(3)$ chiral theory
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Hadronic and radiative decays of the tau lepton
• Study of the lowest tensor and scalar resonances in the $\tau \to \pi \pi \pi {\nu }_{\tau }$ decay
• Flavor SU(3) analysis of the charmless semileptonic $B\to PV{\ell }^{+}{\nu }_{\ell }$ decays
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• A note on the tensor and vector exchange contributions to $K\bar{K}\to K\bar{K},D\bar{D}\to D\bar{D}$ and ${\pi }^{+}{\pi }^{-}\to {\pi }^{+}{\pi }^{-}$ reactions
• Chiral Low-Energy Constants: Status and Prospects