Chiral Perturbation Theory and the f2(1270) resonance

Abstract

Within Chiral Perturbation Theory, we study elastic pion scattering in the I=0, J=2, channel, whose main features are the f2(1270) resonance and the vanishing of the lowest order. By means of a chiral model that includes an explicit resonance coupled to pions, we describe the data and calculate the resonance contribution to the O(p^4) and O(p^6) chiral parameters. We also generalize the Inverse Amplitude Method to higher orders, which allows us to study channels with vanishing lowest order. In particular, we apply it to the I=0,J=2 case, finding a good description of the f2(1270) resonance, as a pole in the second Riemann sheet.

4 pages,1 figure

References in corpus (2)

• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• The Inverse Amplitude Method in $\pi \pi$ Scattering in Chiral Perturbation Theory to Two Loops

Cited by in corpus (24)

• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• On the nature of light scalar mesons from their large $N_c$ behavior
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• Longitudinal WW scattering in light of the "Higgs" discovery
• Radiative corrections to WL WL scattering in composite Higgs models
• Light "Higgs", yet strong interactions
• The mass spectrum and strong decays of isoscalar tensor mesons
• Anomalous decays of eta' and eta into four pions
• Tensor meson exchange at low energies
• Unitarity, analyticity, dispersion relations and resonances in strongly interacting $W_L{W}_L$, $Z_L{Z}_L$ and $hh$ scattering
• Unitarity and causality constraints in composite Higgs models
• Two-loop analysis of the pion-mass dependence of the $\rho$ meson
• Chiral extrapolation of pion-pion scattering phase shifts within standard and unitarized Chiral Perturbation Theory
• The SU(2) and SU(3) chiral phase transitions within Chiral Perturbation Theory
• Introducing tools to test Higgs interactions via $WW$ scattering I: one-loop calculations and renormalization in the HEFT
• Interpreting a 2 TeV resonance in WW scattering
• Improved Unitarized Heavy Baryon Chiral Perturbation Theory for pion-nucleon Scattering to fourth order
• Proximity of $f_0(1500)$ and $f_0(1710)$ to the scalar glueball
• Higher meson resonances in $\rho \to {\pi }^0{\pi }^0\gamma$ and $\omega \to {\pi }^0{\pi }^0\gamma$
• Introducing tools to test Higgs interactions via $WW$ scattering II: the coupled channel formalism and scalar resonances
• 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
• Precision dispersive approaches versus unitarized Chiral Perturbation Theory for the lightest scalar resonances $\sigma /f_0(500)$ and $\kappa /K_0^{\ast }(700)$