The Electromagnetic Interaction in Chiral Perturbation Theory

Abstract

We investigate electromagnetic effects in the framework of chiral perturbation theory. Using a completely independent method, we confirm Urech's results for the divergences of the one--loop functional in the electromagnetic sector. We perform a one--loop analysis of all $P_{\ell 2}$ ($P=\pi ,K,\eta$) and the $K_{\ell 3}$ form factors $f_{+}^{K^{+}{\pi }^0}(0)$, $f_{+}^{K^0{\pi }^{-}}(0)$, including a systematic treatment of the $\cO(e^2p^2)$ contributions in the mesonic part. We illustrate our results by several numerical estimates.

15 pages, latex

References in corpus (4)

• On the Foundations of Chiral Perturbation Theory
• Virtual Photons in Chiral Perturbation Theory
• Radiative Semileptonic Kaon Decays
• Violations of Dashen's Theorem

Cited by in corpus (49)

• Modern Theory of Nuclear Forces
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• Improved estimates of rare K decay matrix-elements from Kl3 decays
• A sum rule approach to the violation of Dashen's theorem
• Electromagnetic Corrections for Pions and Kaons : Masses and Polarizabilities
• On the Power Counting in Effective Field Theories
• Virtual Photons in Low Energy pi-pi Scattering
• Isospin Violation and the Magnetic Moment of the Muon
• Radiative tau decay and the magnetic moment of the muon
• pi/K -> e nu branching ratios to O(e^2 p^4) in Chiral Perturbation Theory
• Electromagnetic corrections in the anomaly sector
• A note on isospin violation in Pl2(gamma) decays
• Electromagnetic corrections in hadronic processes
• Isospin breaking in Kl4 decays
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• pi^0-eta Mixing and CP Violation
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• The Kl3 scalar form factors in the standard model
• Electromagnetism in nonleptonic weak interactions
• Resonance Contributions to the Electromagnetic Low Energy Constants of Chiral Perturbation Theory
• Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory
• On the pion decay constant
• Electromagnetic corrections to gamma pi(+) -> pi(0) pi(+)
• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• New method for calculating electromagnetic effects in semileptonic beta-decays of mesons
• Isospin breaking corrections to low-energy pi-K scattering
• Electromagnetic low-energy constants in ChPT
• Isospin Breaking in $K\to 3\pi$ Decays II: Radiative Corrections
• Isospin Breaking Effects in $K_{\ell 4}$ Decays
• Explicit generating functional for pions and virtual photons
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• Two-loop representations of low-energy pion form factors and pi-pi scattering phases in the presence of isospin breaking
• Contributions of order $\mathcal{O}(m_{\mathrm{quark}}^2)$ to $K_{\ell 3}$ form factors and unitarity of the CKM matrix
• Isospin Breaking in $K_{\ell 4}$ Decays of the Neutral Kaon
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Radiative (anti)neutrino energy spectra from muon, pion, and kaon decays
• Isospin-Breaking quark condensates in Chiral Perturbation Theory
• Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
• Precise Estimate of Charged Wino Decay Rate
• Semileptonic weak Hamiltonian to $\mathcal{O}(\alpha {\alpha }_s({\mu }_{\mathrm{Lattice}}))$ in momentum-space subtraction schemes
• A note on the heat kernel coefficients for nonminimal operators
• Chiral perturbation theory confronted with experiment
• Gauge-invariant Green's functions for the bosonic sector of the standard model
• Chiral Perturbation Theory with Photons and Leptons
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Reducing Hadronic Uncertainty in Low-Energy Neutral-Current Processes
• Electromagnetic Corrections to Low-Energy pi-pi Scattering