Virtual Photons in Chiral Perturbation Theory

Abstract

In the framework of chiral perturbation theory virtual photons are included. We calculate the divergences of the generating functional to one loop and determine the structure of the local action that incorporates the counterterms which cancel the divergences. As an application we discuss the corrections to Dashen's theorem at order [e^2*m(quark)].

19 pages , LaTex, 1 figure appended as PostScript file, (little corrections on the pages 8 and 17 - the physical results are not affected), BUTP-94/9

References in corpus (1)

• On the Foundations of Chiral Perturbation Theory

Cited by in corpus (173)

• Modern Theory of Nuclear Forces
• The two-nucleon system at next-to-next-to-next-to-leading order
• Chiral perturbation theory
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Chiral Perturbation Theory
• The ratios of the light quark masses
• Review of lattice results concerning low energy particle physics
• Physics Opportunities with the 12 GeV Upgrade at Jefferson Lab
• Kaon Decays in the Standard Model
• Light pseudoscalar decay constants, quark masses, and low energy constants from three-flavor lattice QCD
• Flavor Physics in the Quark Sector
• Hadronic light-by-light scattering contribution to the muon g-2: an effective field theory approach
• Mesonic low-energy constants
• Extension of the Chiral Perturbation Theory Meson Lagrangian to Order $P^6$
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• Window observable for the hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• QCD Isospin Breaking in Meson Masses, Decay Constants and Quark Mass Ratios
• Improved estimates of rare K decay matrix-elements from Kl3 decays
• Light Hadron Masses from Lattice QCD
• A sum rule approach to the violation of Dashen's theorem
• Electromagnetic Corrections for Pions and Kaons : Masses and Polarizabilities
• Effect of charmed meson loops on charmonium transitions
• The anomalous magnetic moment of the muon in the Standard Model: an update
• On the Power Counting in Effective Field Theories
• Chiral perturbation theory
• Final State Interactions and Khuri-Treiman Equations in $\eta \to 3\pi$ decays
• Topological Susceptibility and QCD Axion Mass: QED and NNLO corrections
• 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
• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• First determination of the strange and light quark masses from full lattice QCD
• pi/K -> e nu branching ratios to O(e^2 p^4) in Chiral Perturbation Theory
• Analysis of General Power Counting Rules in Effective Field Theory
• Bounds on the light quark masses
• A Systematic Approach to the SILH Lagrangian
• Determination of light quark masses from the electromagnetic splitting of pseudoscalar meson masses computed with two flavors of domain wall fermions
• The decay pi0 to gamma gamma to next to leading order in Chiral Perturbation Theory
• Chiral Sum-Rules for ${\mathcal{L}}_{(6)}^{WZ}$ Parameters and Application to ${\pi }^0,\eta ,{\eta }^{\prime }$ Decays
• Chiral expansions of the pi0 lifetime
• Electromagnetic corrections in the anomaly sector
• Delta-excitations and the three-nucleon force
• Decays of the pi+ pi- atom
• A note on isospin violation in Pl2(gamma) decays
• Isospin Violation in Chiral Perturbation Theory and the Decays $η\ra π\ell ν$ and $τ\ra ηπν$
• Complete One-Loop Renormalization of the Higgs-Electroweak Chiral Lagrangian
• Electromagnetic corrections in hadronic processes
• The role of spurions in Higgs-less electroweak effective theories
• Isospin Breaking in K -> Pi Pi Decays
• The Electromagnetic Interaction in Chiral Perturbation Theory
• Electromagnetic corrections in eta --> 3 pi decays
• Anomaly free Froggatt-Nielsen models of flavor
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Neutrinoless double beta decay in effective field theory: the light Majorana neutrino exchange mechanism
• Isospin breaking in Kl4 decays
• Radiative corrections in weak semi-leptoni processes at low energy: a two-step matching determination
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Virtual photons in baryon chiral perturbation theory
• Investigation of a0-f0 mixing
• The Electromagnetic Mass Differences of Pions and Kaons
• Coupled-channel approach in hadron-hadron scattering
• 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
• Neutral Pion Lifetime Measurements and the QCD Chiral Anomaly
• The hadronic running of the electromagnetic coupling and the electroweak mixing angle from lattice QCD
• Charge-dependent nucleon-nucleon potential from chiral effective field theory
• Electromagnetic Corrections to the decays $\eta \to 3\pi$
• Virtual photons in the pion form factors and the energy-momentum tensor
• Rescattering effects in eta {\to} 3pi decays
• On the Corrections to Dashen's Theorem
• Isospin splittings of doubly heavy baryons
• Extended chiral Khuri-Treiman formalism for $\eta \to 3\pi$ and the role of the $a_0(980)$, $f_0(980)$ resonances
• Effective field theory for radiative corrections to charged-current processes I: Vector coupling
• Novel approaches in Hadron Spectroscopy
• On the Radiative Pion Decay
• Relativistic effects in the pionium lifetime
• Lattice computation of the electromagnetic contributions to kaon and pion masses
• The Dalitz decay pi0 -> e+ e- gamma revisited
• Isospin-violating nucleon-nucleon forces using the method of unitary transformation
• Tests of non-standard electroweak couplings of right-handed quarks
• Electromagnetism in nonleptonic weak interactions
• Crawling technicolor
• The Kl3 scalar form factors in the standard model
• Resonance Contributions to the Electromagnetic Low Energy Constants of Chiral Perturbation Theory
• Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory
• Chiral effective theories with a light scalar at one loop
• Isospin dependence of the three-nucleon force
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• Two-loop QED radiative corrections to the decay pi0 -> e+ e- : The virtual corrections and soft-photon bremsstrahlung
• On the pion decay constant
• Isospin Breaking in $K\to 3\pi$ Decays III: Bremsstrahlung and Fit to Experiment
• Isospin violation in low-energy charged pion-kaon scattering
• Electromagnetic corrections to gamma pi(+) -> pi(0) pi(+)
• Charge independence breaking and charge symmetry breaking in the nucleon-nucleon interaction from effective field theory
• Classification of NLO operators for composite Higgs models
• Isospin violation in J/Psi to phi pi0 eta decay and the f0-a0 mixing
• High-precision determination of the $K_{e3}$ radiative corrections
• Fingerprints of heavy scales in electroweak effective Lagrangians
• Lepton-number violation and right-handed neutrinos in Higgs-less effective theories
• Low-energy QCD
• 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 Corrections to Charged Pion Scattering at Low Energies
• The pionium lifetime in generalized chiral perturbation theory
• Electromagnetic Corrections to K -> pi pi I: Chiral Perturbation Theory
• A New Theory Framework for the Electroweak Radiative Corrections in $K_{l3}$ Decays
• Electromagnetic mass splittings of $\pi ,a_1,K,K_1(1400)$ and $K^{\ast }(892)$
• Radiative corrections to semileptonic beta decays: Progress and challenges
• The electroweak chiral Lagrangian reanalyzed
• Electromagnetic low-energy constants in ChPT
• Isospin Breaking in $K\to 3\pi$ Decays II: Radiative Corrections
• Isospin Breaking in $K\to 3\pi$ Decays I: Strong Isospin Breaking
• The Muon Anomalous Magnetic Moment and the Pion Polarizability
• Isospin violation in pion-kaon scattering
• ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }\gamma$ decays as backgrounds in the search for second class currents
• Higgs-Electroweak Chiral Lagrangian: One-Loop Renormalization Group Equations
• Chiral perturbation theory for nonzero chiral imbalance
• Isospin Breaking and chiral symmetry restoration
• Isospin Breaking Effects in $K_{\ell 4}$ Decays
• Hadron Structure in the Non-Perturbative Regime of QCD: Isospin Symmetry and its Violation
• Explicit generating functional for pions and virtual photons
• Electromagnetic effects in the pion dispersion relation at finite temperature
• Portal Effective Theories: A framework for the model independent description of light hidden sector interactions
• Two-loop representations of low-energy pion form factors and pi-pi scattering phases in the presence of isospin breaking
• Isospin breaking in the phases of the Ke4 form factors
• Anomaly-matching and Higgs-less effective theories
• Trace Formulae of Characteristic Polynomial and Cayley-Hamilton's Theorem, and Applications to Chiral Perturbation Theory and General Relativity
• Electromagnetic Corrections to Pi Pi Scattering: Some Lessons for the Implementation of Meson Exchange Models
• Isospin Breaking in $K_{\ell 4}$ Decays of the Neutral Kaon
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme
• Non-Perturbative Study of the Light Pseudoscalar Masses in Chiral Dynamics
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• A note on the determination of light quark masses
• Model Independent Electromagnetic corrections in hadronic $\tau$ decays
• Convergence properties of $\eta \to 3\pi$ decays in chiral perturbation theory
• Isospin-Breaking quark condensates in Chiral Perturbation Theory
• Precise Estimate of Charged Higgsino/Wino Decay Rate
• Deconstructing Non-Abelian Gauge Theories at One Loop
• Lattice calculation of the pion mass difference $M_{{\pi }^{+}}-M_{{\pi }^0}$ at order $\mathcal{O}({\alpha }_{em})$
• Precise Estimate of Charged Wino Decay Rate
• Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
• The Electromagnetic Mass Difference of Pions at Low Temperature
• On the effective lagrangian at nonzero isospin chemical potential
• Ratios of the light quark masses: Cubic curve vs ellipse
• Analysis of Dalitz decays with intrinsic parity violating interactions in resonance chiral perturbation theory
• Perturbative Power Counting, Lowest-Index Operators and Their Renormalization in Standard Model Effective Field Theory
• The Art of Counting: a reappraisal of the HEFT expansion
• Energy and decay width of the pi-K atom
• Improved $K_{e3}$ radiative corrections sharpen the $K_{\mu 2}$--$K_{l3}$ discrepancy
• Review of chiral perturbation theory
• A note on the heat kernel coefficients for nonminimal operators
• Scalar susceptibilities and Electromagnetic thermal mass differences in Chiral Perturbation Theory
• ${\pi }_{e3}$ form factor $f_{-}$ near the mass shell
• Electromagnetic self-energies of the neutral pions: Contributions from vector resonances
• Thermodynamics and quark condensates of three-flavor QCD at low temperature
• Electromagnetic corrections in hadronic tau decay
• Chiral perturbation theory
• Reducing Hadronic Uncertainty in Low-Energy Neutral-Current Processes
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Charge-symmetry-breaking nucleon form factors
• Pionium lifetime and ππscattering lengths in generalized chiral perurbation theory
• Gauge-invariant Green's functions for the bosonic sector of the standard model
• Electromagnetic radiative corrections to pionic beta decay π^+ to π^0 e^+ ν_e
• Baryon chiral perturbation theory with virtual photons and leptons
• Isospin-breaking contributions to ${\epsilon }^{\prime }/\epsilon$
• Including virtual photons in strong interactions
• Renormalization of chiral perturbation theory with spinless matter field in curved spacetime
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms
• Chiral effective action of QCD: Precision tests, questions and electroweak extensions
• Novel method for determining the light quark mass ratio using ${\eta }^{\prime }\to \eta \pi \pi$ decays
• Chiral Symmetry Breaking and Pion Decay in a Magnetic Field
• Chiral loop corrections and isospin violation effects in epsilon'/epsilon
• Electromagnetic and strong isospin breaking in light meson masses