Chiral Perturbation Theory

Abstract

An introduction to the basic ideas and methods of Chiral Perturbation Theory is presented. Several phenomenological applications of the effective Lagrangian technique to strong, electromagnetic and weak interactions are discussed.

57 pages, plain Tex, 4 figures included in a separate file (uses epsf.tex)

References in corpus (19)

• Chiral perturbation theory
• On the Foundations of Chiral Perturbation Theory
• Virtual Photons in Chiral Perturbation Theory
• $K_{l4}$ - Decays Beyond One Loop
• Direct CP Violation in K_L --> π^0 e^+e^- Beyond Leading Logarithms
• Consistent Calculation of the Nucleon Electromagnetic Polarizabilities in Chiral Perturbation Theory Beyond Next-to-Leading Order
• The Electroweak Chiral Lagrangian for the Standard Model with a Heavy Higgs
• Aspects of Nucleon Compton Scattering
• Non-Leptonic Kaon Decays and the Chiral Anomaly
• Non-decoupling effects of the Standard Model Higgs boson to one loop
• Reanalysis of the decay K_L -> pi0 e+ e-
• On the Equivalence Theorem in the $\chi PT$ Description of the Symmetry Breaking Sector of the Standard Model
• Chiral invariant renormalization of the pion--nucleon interaction
• The Equivalence Theorem for Chiral Lagrangians
• QCD corrections to inclusive $\Delta S=1,2$ transitions at the next-to-leading order
• K_S\rightarrow γγ, K_L\rightarrowπ^0γγ$ and Unitarity
• The standard model at low energies
• Regularization Methods in Chiral Perturbation Theory
• Some Remarks on the Matching Conditions

Cited by in corpus (298)

• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral Dynamics of the Two Λ(1405) States
• Meson-Meson interaction in a non-perturbative chiral approach
• N/D Description of Two Meson Amplitudes and Chiral Symmetry
• The Standard Model as an Effective Field Theory
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Axial structure of the nucleon
• From controversy to precision on the sigma meson: a review on the status of the non-ordinary $f_0(500)$ resonance
• The nature of the Lambda(1405) resonance in chiral dynamics
• Kaon Decays in the Standard Model
• Precision Tau Physics
• Chiral Unitary approach to meson-meson and meson-baryon interactions and nuclear applications
• SU(N) gauge theories at large N
• The properties of \bar{K} in the nuclear medium
• Physics with the KLOE-2 experiment at the upgraded DA$\varphi$NE
• Chiral unitary approach to S-wave meson baryon scattering in the strangeness S=0 sector
• Low lying S=-1 excited baryons and chiral symmetry
• Meson-meson scattering within one loop Chiral Perturbation Theory and its unitarization
• Quark mass dependence of s-wave baryon resonances
• $S=-1$ Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory and the $S_{01}-$ $\Lambda$(1405) and $-\Lambda$(1670) Resonances
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Mesonic low-energy constants
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Origin of resonances in the chiral unitary approach
• Quark Flavor Phenomenology of the QCD Axion
• Two lectures on color superconductivity
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Effective Field Theory Description of the Pion Form Factor
• Strangeness-changing scalar form factors
• The $S_{11}-N$(1535) and $-N$(1650) Resonances in Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory
• Identification of a Scalar Glueball
• On the Strangeness -1 S-wave Meson-Baryon Scattering
• Electromagnetic Corrections for Pions and Kaons : Masses and Polarizabilities
• Improving the convergence of the chiral expansion for nuclear forces I: Peripheral phases
• The Bases of Effective Field Theories
• Chiral perturbation theory
• The SM prediction of g-2 of the muon
• Improved description of the $\pi N$-scattering phenomenology in covariant baryon chiral perturbation theory
• The chiral condensate in a constant electromagnetic field
• Charged Pion-Pair Production and Pion Polarizabilities to two Loops
• In-medium chiral perturbation theory beyond the mean-field approximation
• Analysis of General Power Counting Rules in Effective Field Theory
• Photoproduction of the Lambda(1405) on the proton and nuclei
• Octet baryon masses in next-to-next-to-next-to-leading order covariant baryon chiral perturbation theory
• KK bar scattering amplitude to one loop in chiral perturbation theory, its unitarization and pion form factors
• Addressing the B-physics anomalies in a fundamental Composite Higgs Model
• Determination of the QCD Coupling from ALEPH $\tau$ Decay Data
• Towards a theory of hadron resonances
• Order p^6 chiral couplings from the scalar K Pi form factor
• The hadronic off-shell width of meson resonances
• The Standard Model Prediction for epsilon'/epsilon
• On the spin, parity and nature of the $\Xi (1620)$ resonance
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• On the size of the sigma meson and its nature
• $\pi \to l\nu \gamma$ Form Factors at Two-loop
• Two-pole structures in QCD: Facts, not fantasy!
• Theoretical Study of the γγ-->meson-meson Reaction
• Weak $K$--Amplitudes in the Chiral and $1/N_c$--Expansions
• The vector form factor of the pion from unitarity and analyticity: a model-independent approach
• Chiral approach to antikaon s- and p-wave interactions in dense nuclear matter
• Mesons in large-N QCD
• Clues for the existence of two $K_1(1270)$ resonances
• Tensors Mesons in AdS/QCD
• Baryon states with hidden charm in the extended local hidden gauge approach
• Infrared regularization for spin-1 fields
• Resonance chiral Lagrangian currents and tau decay Monte Carlo
• CP violation in kaon decays
• Electroweak and Dark Matter Constraints on a Z' in Models with a Hidden Valley
• On Gauge Invariance and Minimal Coupling
• The chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations
• Hadron structure in tau -> KKpi nu_tau decays
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• Hazma: A Python Toolkit for Studying Indirect Detection of Sub-GeV Dark Matter
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Muon capture by a proton in heavy baryon chiral perturbation theory
• Meson exchange in the weak decay of Lambda hypernuclei and the Gamma_n/Gamma_p ratio
• Magnetic moments of the Lambda(1405) and Lambda(1670) resonances
• Gravitational and higher-order form factors of the pion in chiral quark models
• Constraints on the Wr mass and CP-violation in left-right models
• One meson radiative tau decays
• Final State Interactions in Kaon Decays
• Matching Regge Theory to the OPE
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• Low Energy Theorems of Quantum Gravity from Effective Field Theory
• Chiral Lagrangian at finite temperature from the Polyakov-Chiral Quark Model
• $\Lambda (1405)$ production in the ${\pi }^{-}p\to K^0\pi \Sigma$ reaction
• QCD and the Strange Baryon Spectrum
• S wave Kπscattering and effects of κin J/ψ\to {\bar K}^{*0}(892)K^+π^-
• Coupled-channel approach in hadron-hadron scattering
• $K\to 3\pi$ Decays in Chiral Perturbation Theory
• Recent developments in SU(3) covariant baryon chiral perturbation theory
• Vector meson exchange contributions to K --> pi gamma gamma and K(L) -> gamma lepton+ lepton-
• Hidden beauty baryon states in the local hidden gauge approach with heavy quark spin symmetry
• Thermal rho and sigma mesons from chiral symmetry and unitarity
• Chiral nonperturvative approach to the isoscalar s-wave pion-pion interaction in a nuclear medium
• Impact of the finite volume effects on the chiral behavior of fK and BK
• Cosmological beam dump: constraints on dark scalars mixed with the Higgs boson
• Chiral Unitary Approach To The N*N*pi, N*N*eta Couplings For The N*(1535) Resonance
• Strange mesons in nuclear matter at finite temperature
• Chiral dynamics of p-wave in K^- p and coupled states
• Internal structure of resonant Lambda(1405) state in chiral dynamics
• Low-lying even parity meson resonances and spin-flavor symmetry
• Towards a determination of the chiral couplings at NLO in 1/N(C): L_8(mu) and C_38(mu)
• QCD Vacuum and Axions: What's Happening?
• Electromagnetic mean squared radii of Lambda(1405) in chiral dynamics
• Axial-vector Form Factors for $K_{\ell 2\gamma }$ and ${\pi }_{\ell 2\gamma }$ at $O(p^6)$ in Chiral Perturbation Theory
• Charm quark mass from QCD sum rules for the charmonium system
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Generalized positivity bounds on chiral perturbation theory
• Chiral Logs in Quenched QCD
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Oblique S and T Constraints on Electroweak Strongly-Coupled Models with a Light Higgs
• Study of exotic hadrons in S-wave scatterings induced by chiral interaction in the flavor symmetric limit
• The Extended Chiral Quark Model and QCD
• Chiral dynamics predictions for eta' -> eta pi pi
• Is the Theta+ a K pi N bound state?
• Tests of non-standard electroweak couplings of right-handed quarks
• Violation of Quark-Hadron Duality and Spectral Chiral Moments in QCD
• K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
• Anomalous Chiral Behavior in Quenched Lattice QCD
• Updated determination of chiral couplings and vacuum condensates from hadronic tau decay data
• Scalar Isoscalar pion pairs in nuclei and the A(pi,pipi)X reaction
• Resonance Contributions to the Electromagnetic Low Energy Constants of Chiral Perturbation Theory
• Higgs-Boson Couplings Beyond the Standard Model
• Electromagnetic Decays of Heavy Baryons
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
• Strong and radiative decays of excited vector mesons and predictions for a new $\varphi (1930)$ resonance
• Study the molecular nature of $\sigma$, $f_0(980)$, and $a_0(980)$ states
• Hyperon resonances coupled to pseudoscalar- and vector-baryon channels
• Study of η-η' mixing from radiative decay processes
• Baryon masses and pion-nucleon $\sigma$-term to second order in the quark masses
• Re-analysis of the $\Lambda (1520)$ photoproduction reaction
• B-->pi and B-->K transitions in standard and quenched chiral perturbation theory
• Effective-field theory analysis of the ${\tau }^{-}\to {\eta }^{(\prime )}{\pi }^{-}{\nu }_{\tau }$ decays
• Determining the ${\Theta }^{+}$ quantum numbers through the $K^{+}p\to {\pi }^{+}{K}^{+}n$ reaction
• Correlators of left charges and weak operators in finite volume chiral perturbation theory
• Finite-volume effects on octet-baryon masses in covariant baryon chiral perturbation theory
• Can power corrections be reliably computed in models with extra dimensions?
• Low Energy Chiral Lagrangian in Curved Space-Time from the Spectral Quark Model
• The chiral S=-1 meson-baryon interaction with new constrains on the NLO contributions
• Final-state interactions in the CP asymmetries of charm-meson two-body decays
• Fingerprints of heavy scales in electroweak effective Lagrangians
• Decuplet baryon masses in covariant baryon chiral perturbation theory
• Remarks on the hadronic matrix elements relevant to the SUSY K-Kbar mixing amplitude
• Precision physics with inclusive QCD processes
• Anomaly-Induced Inhomogeneous Phase in Quark Matter without the Sign Problem
• The anomalous process gamma pi -> pi pi to two loops
• Virtual decuplet effects on octet baryon masses in covariant baryon chiral perturbation theory
• Low-energy QCD
• Antineutrino induced Lambda(1405) production off the proton
• Chiral Perturbation Theory and the f2(1270) resonance
• One-Loop Calculation of the Oblique S Parameter in Higgsless Electroweak Models
• The chiral condensate in a constant electromagnetic field at O(p^6)
• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT
• Why $\Xi (1690)$ and $\Xi (2120)$ are so narrow?
• What can we learn about light-meson interactions at electron-positron colliders?
• Tree-level (pi, K)-amplitude and analyticity
• Spin-1 resonance contributions to the weak Chiral Lagrangian: the vector field formulation
• A methodology for theory uncertainties in the SMEFT
• Hunting for Dark Matter and New Physics with GECCO
• Anticharmed strange pentaquarks from the one-boson-exchange model
• QCD moment sum rules for Coulomb systems: the charm and bottom quark masses
• Magnetization of the QCD vacuum at large fields
• Coupling of \bar K*N to the Lambda(1520)
• The phi NN coupling from chiral loops
• T-odd correlation in the K+ ->pi l nu gamma decays beyond Standard Model
• Dark gauge boson production from neutron stars via nucleon-nucleon bremsstrahlung
• Chiral behavior of the B(s,d)-Bbar(s,d) mixing amplitude in the Standard Model and beyond
• Chiral soliton lattice in QCD-like theories
• Dressing the electromagnetic nucleon current
• Experimental study of rare charged pion decays
• The Chiral Lagrangian of CP-Violating Axion-Like Particles
• Operator Counting and Soft Blocks in Chiral Perturbation Theory
• A prediction of $D^{\ast }$-multi-$\rho$ states
• The Energy Momentum Tensor of Chiral Quark Models at Low Energies
• Linear Sigma EFT for Nearly Conformal Gauge Theories
• Spectral function of a scalar boson coupled to fermions
• B --> pi and B --> K transitions in partially quenched chiral perturbation theory
• On Field/String Theory Approach to Theta Dependence in Large N Yang-Mills Theory
• Isospin Breaking in $K\to 3\pi$ Decays I: Strong Isospin Breaking
• Kaon Polarizabilities in Chiral Perturbation Theory
• A study of $\eta K\bar{K}$ and ${\eta }^{\prime }K\bar{K}$ with the fixed center approximation to Faddeev equations
• The Octet Meson and Octet Baryon Interaction with strangeness and the $\Lambda (1405)$
• A new determination of the $\gamma \pi \to \pi \pi$ anomalous amplitude via ${\pi }^{-}{e}^{-}\to {\pi }^{-}{e}^{-}{\pi }^0$ data
• Tau Physics: Theoretical Perspective
• Light scalar mesons in $J/psi->$NN$mesonmeson$ decays in a chiral unitary approach
• Three-body model for $K(1460)$ resonance
• Magnetic Moments of Heavy Baryons
• Non-perturbative chiral approach to Kp -->gamma Y reactions
• On the $\pi$ and $K$ as $q\bar{q}$ Bound States and Approximate Nambu-Goldstone Bosons
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• Effective theories with maximal analyticity
• SU(3) analysis of four-quark operators: $K\to \pi \pi$ and vacuum matrix elements
• Photoproduction of scalar mesons on protons and nuclei
• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• Chiral Lagrangian and chiral quark model from confinement in QCD
• Exclusive hadronic Tau decays in the resonance effective action of QCD
• Resonance saturation of the chiral couplings at NLO in 1/Nc
• Theoretical overview on tau physics
• A study of the $KN$-$K^{\ast }N$ coupled systems
• Consistency between SU(3) and SU(2) chiral perturbation theory for the nucleon mass
• Determination of the \bar K^0 d scattering length from the reaction pp \to d \bar K^0 K^+
• Search for the radiative decay $\eta \to {\pi }^0\gamma \gamma$ in the SND experiment at VEPP-2M
• Portal Effective Theories: A framework for the model independent description of light hidden sector interactions
• Baryon chiral perturbation theory with Wilson fermions up to $\mathcal{O}(a^2)$ and discretization effects of latest $n_f=2+1$ LQCD octet baryon masses
• Scalar resonance in graviton-graviton scattering at high-energies: the graviball
• Renormalizability of leading order covariant chiral nucleon-nucleon interaction
• Rho meson properties from combining QCD-based models
• Indirect Detection of Sub-GeV Dark Matter Coupling to Quarks
• Tau Physics 2006: Summary & Outlook
• Matching of U_L(3) x U_R(3) and SU_L(3) x SU_R(3) Chiral Perturbation Theories
• Chiral condensate thermal evolution at finite baryon chemical potential within Chiral Perturbation Theory
• Two-meson cloud contribution to the baryon antidecuplet binding
• (Phenomenology/Lattice-Compatible) $SU(3)$ M$\chi$PT HD up to $\mathcal{O}(p^4)$ and the $\mathcal{O}\left(R^4\right)$-Large-$N$ Connection
• Three Exceptions to the Grossman-Nir Bound
• Long-distance contribution to the forward-backward asymmetry in decays K+ --> pi+ l+ l-
• Weinberg like sum rules revisited
• Effective chiral lagrangian in the chiral limit from the instanton vacuum
• QCD chiral Lagrangian on the lattice, strong coupling expansion and Ward identities with Wilson fermions
• Renormalization of the f0(980) and a0(980) scalar resonances in a nuclear medium
• $K\to \pi {\ell }^{+}{\ell }^{-}$ form factor in the Large-N${}_c$ and cut-off regularization method
• Muon transverse polarization in the $K_{l2\gamma }$ decay in SM
• Probing the chiral weak Hamiltonian at finite volumes
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Tau Lepton Physics: Theory Overview
• $J/\psi N$ interactions revisited and ${\Lambda }_b^0\to J/\psi K^{-}({\pi }^{-})p$ decays
• Ordinary and exotic mesons in the extended Linear Sigma Model
• Chiral Transparency
• Is two-poles' $\Lambda (1405)$ one state or two?
• Radiative and non radiative muon capture on the proton in heavy baryon chiral perturbation theory
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Relativistic self-energy decomposition of nuclear symmetry energy and equation of state of neutron matter within QCD sum rules
• Meson Exchange Currents in Pion Double Charge Exchange at High Energies
• Model Independent Electromagnetic corrections in hadronic $\tau$ decays
• Hierarchical majorana neutrinos from democratic mass matrices
• A Possibility to Measure CP-Violating Effects in the Decay K --> mu nu gamma
• The Lambda(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions
• Observation of $J/\psi \to p\bar{p}{a}_0(980)$ at BESIII
• Analysis of K_L -> pi^+ pi^- gamma in Chiral Perturbation Theory
• Charm mass dependence of the weak Hamiltonian in chiral perturbation theory
• Vector form factor of the pion : A model-independent approach
• Isocalar Roper excitation in the pp --> pp pi0 reaction close to threshold
• Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons
• Light quarks at finite temperature: chiral restoration and the fate of the $U(1{)}_A$ symmetry
• Non-perturbative methods for NN singular interactions
• Can a Linear Sigma Model Describe Walking Gauge Theories at Low Energies?
• Degeneracy patterns of chiral companions at finite temperature
• Quasilocal Quark Models as Effective Theory of Non-perturbative QCD
• The Art of Counting: a reappraisal of the HEFT expansion
• Properties of the vector meson nonet at large N_c beyond the chiral limit
• Study of the resonance contributions in the ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ decay
• Strong CP Violation in External Magnetic Fields
• Charge asymmetry in K+- --> π+-γγinduced by the electromagnetic penguin operators
• Leptonic Probes of the Standard Model
• On Non-Standard Couplings among the Electroweak Vector Bosons
• Present Status of Chiral Perturbation Theory
• The invariant factor of the chiral determinant
• Oscillating nuclear charge radii as sensors for ultralight dark matter
• Cosmological implications of the KOTO excess
• The lowest-lying spin-1/2 and spin-3/2 baryon magnetic moments in chiral perturbation theory
• Dynamical Generation of Hyperon Resonances
• Reflections on Chiral Symmetry within QCD
• Solving the four-dimensional $NN-\pi NN$ equations for scalars below meson-production threshold
• Theoretical study in the ${\bar{B}}^0\to J/\psi {\bar{K}}^{\ast 0}{K}^0$ and ${\bar{B}}^0\to J/\psi f_1(1285)$ decays
• Review of chiral perturbation theory
• Quark-hadron-duality in the charmonium and upsilon system
• Chiral unitary approach to hadron spectroscopy
• Exotic Hadrons in the ${\Lambda }_b\to J/\psi \varphi \Lambda$ Decay
• Quark condensate in QCD at nonzero magnetic field and temperature
• The role of triangle singularity in the decay process $D^0\to {\pi }^{+}{\pi }^{-}{f}_0(980),f_0\to {\pi }^{+}{\pi }^{-}$
• States generated in the $K$-multi-$\rho$ interactions
• Weak Decays, Quark Mixing and CP Violation: Theory Overview
• S-wave meson scattering up to 2 GeV and its spectroscopy
• Chiral effective field theories of the strong interactions
• Effects of bulk symmetry breaking on AdS/QCD predictions
• Unitarity and Unitarization
• Theoretical overview of kaon decays
• Electromagnetic corrections in hadronic tau decay
• Dark Matter Effective Theory
• Chiral Lagrangians
• Exotic properties of N^*(1895) and its impact on photoproduction of light hyperons
• Exotic Heavy Hadrons
• Rare weak decays of ${\eta }^{\prime }\to K\pi$
• Theoretical status of epsilon'/epsilon
• Rare Kaon Decays
• Chiral perturbation theory
• Predicting the Dark Matter -- Baryon Abundance Ratio
• Chiral loop corrections and isospin violation effects in epsilon'/epsilon
• The Strange Physics of Dark Baryons
• Nonleptonic kaon decays: theory vs. experiment
• The Optimal Strategy for ${\epsilon }^{\prime }/\epsilon$ in the SM: 2019
• S=--1 Meson-Baryon Scattering in Coupled Channel Unitarized Chiral Perturbation Theory
• Chiral unitary theory: application to nuclear problems
• A gauge invariant formulation for the SU(N) non-linear sigma model in 2+1 dimensions
• A status report concerning theoretical predictions for various kaon decays