Charged Pion Polarizabilities to two Loops

Abstract

We evaluate the electric and magnetic polarizabilities of charged pions in the framework of chiral perturbation theory at next-to-leading order. This requires a two-loop evaluation of the Compton amplitude near threshold. We estimate the two new low-energy constants which enter the chiral expansion at this order with resonance saturation. The numerical results are compared with presently available experimental information.

9 pages, LaTeX, uses epsf.sty and cite.sty, one postscript picture included

Cited by in corpus (46)

• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Renormalization of chiral perturbation theory to order p^6
• Electromagnetic Corrections for Pions and Kaons : Masses and Polarizabilities
• Chiral Perturbation Theory Beyond One Loop
• Roy-Steiner equations for gamma gamma -> pi pi
• Charged Pion-Pair Production and Pion Polarizabilities to two Loops
• Revisiting γγ->π^+π^- at low energies
• Technicolor and other QCD-like theories at next-to-next-to-leading order
• Low-energy photon-photon collisions to two loops revisited
• One-loop $\gamma \gamma \to W_L^{+}{W}_L^{-}$ and $\gamma \gamma \to Z_L{Z}_L$ from the Electroweak Chiral Lagrangian with a light Higgs-like scalar
• Virtual photons in the pion form factors and the energy-momentum tensor
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• Cross sections for low-energy ${\pi }^{-}\gamma$ reactions
• Hadron Polarizabilities
• The pion vector form factor from lattice QCD and NNLO chiral perturbation theory
• Chiral perturbation theory
• Two-loop Analysis of Axialvector Current Propagators in Chiral Perturbation Theory
• The anomalous process gamma pi -> pi pi to two loops
• Two-point function of strangeness-carrying vector-currents in two-loop Chiral Perturbation Theory
• Finite Volume Dependence of the Quark-Antiquark Vacuum Expectation Value
• Leading logarithms in N-flavour mesonic Chiral Perturbation Theory
• Pion Polarizabilities and Volume Effects in Lattice QCD
• Generalized polarizabilities of the pion in chiral perturbation theory
• Kaon Polarizabilities in Chiral Perturbation Theory
• Chiral corrections to ${\pi }^{-}\gamma \to 3\pi$ processes at low energies
• Radiative corrections to pion Compton scattering
• Radiative corrections to pion-nucleus bremsstrahlung
• Pion Generalized Dipole Polarizabilities by Virtual Compton Scattering $\pi e\to \pi e\gamma$
• Compton Scattering off Pions and Electromagnetic Polarizabilities
• Estimating $\gamma \gamma$ absorption for UHE photons with lepton and hadron production
• Lattice Investigation of the DMO Sum Rule
• Chiral perturbation theory - Success and challenge
• Chiral symmetry
• Real and Virtual Compton Scattering at Low Energies
• The Das-Mathur-Okubo sum rule for the charged pion polarizability in a chiral model
• Electric Polarizability of Mesons in Semirelativistic Quark Models
• Pion polarisabilities and bremsstrahlung
• Goldstone Boson Production and Decay
• Polarizabilities from kaon Compton scattering
• The role of chiral loops in $\eta \to {\pi }^0{\pi }^0\gamma \gamma$
• Low-energy photon and pion scattering in holographic QCD
• Pion polarizabilities: Theory vs Experiment
• Dipole polarizabilities of light pseudoscalar mesons within the Domain Model of QCD vacuum
• Virtual Compton Scattering off the Pseudoscalar Meson Octet
• Pion-pion and pion-nucleon interactions in chiral perturbation theory