Virtual Photons in Low Energy pi-pi Scattering

Abstract

The low energy scattering of pions is investigated in the presence of electromagnetic interactions at leading order and at next-to-leading order for the amplitudes involving at most one pair of charged pions. The size of the electromagnetic corrections to the S-wave scattering lengths is found to be comparable to the size of the two loop strong interaction corrections.

Latex, 34 pages, 3 figures

References in corpus (6)

• Virtual photons in SU(2) chiral perturbation theory and electromagnetic corrections to $\pi \pi$ scattering
• Pion-pion scattering at low energy
• Comment on the Prediction of Two-loop Standard Chiral Perturbation Theory for Low-Energy ππScattering
• The extraction of hadronic parameters from experiments on pionium
• Perturbative framework for the pi(+)pi(-) atom
• Hadronic Effects in the Pionium Ion

Cited by in corpus (93)

• Modern Theory of Nuclear Forces
• ππscattering
• Chiral Perturbation Theory and Baryon Properties
• Roy-Steiner-equation analysis of pion-nucleon scattering
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• Ground-state energy of pionic hydrogen to one loop
• On the Power Counting in Effective Field Theories
• Cusps in K --> 3 pi decays
• Topological Susceptibility and QCD Axion Mass: QED and NNLO corrections
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• Pion-pion scattering and the K->3pi decay amplitudes
• Observation of a cusp-like structure in the pizero-pizero invariant mass distribution from K+- ==> pi+- pizero pizero decay and determination of the pi-pi scattering lengths
• Complete analysis of pion-nucleon scattering in chiral perturbation theory to third order
• Electromagnetic corrections in the anomaly sector
• Decays of the pi+ pi- atom
• The role of spurions in Higgs-less electroweak effective theories
• Electromagnetic corrections in hadronic processes
• Isospin Breaking in K -> Pi Pi Decays
• The electroweak pi^+ - pi^0 mass difference and weak matrix elements in the 1/Nc expansion
• Determination of the S-wave pi pi scattering lengths from a study of K+- -> pi+- pi0 pi0 decays
• Radiative corrections in K --> 3 pi decays
• Isospin breaking in Kl4 decays
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• Virtual photons in baryon chiral perturbation theory
• Investigation of a0-f0 mixing
• Cusps in K_L --> 3 pi decays
• Isospin violation in low-energy pion-nucleon scattering revisited
• Charge-dependent nucleon-nucleon potential from chiral effective field theory
• Virtual photons in the pion form factors and the energy-momentum tensor
• Rescattering effects in eta {\to} 3pi decays
• Cusps in K --> 3pi decays: a theoretical framework
• On the Lifetime of the pi+pi- Atom
• Hadronic Interactions from Lattice QCD
• Numerical analysis of the pi+pi- atom lifetime in ChPT
• The cusp effect in eta' --> eta pi pi decays
• The Dalitz decay pi0 -> e+ e- gamma revisited
• K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
• Electromagnetic Corrections in Partially Quenched Chiral Perturbation Theory
• On the pion decay constant
• Decay widths and energy shifts of pi pi and pi K atoms
• Electromagnetic corrections to gamma pi(+) -> pi(0) pi(+)
• Cumulants of the QCD topological charge distribution
• (Pi+Pi-) Atom in Chiral Perturbation Theory
• Charge independence breaking and charge symmetry breaking in the nucleon-nucleon interaction from effective field theory
• Chiral perturbation theory
• Extracting $\pi \pi$ $S$-wave scattering lengths from cusp effect in heavy quarkonium dipion transitions
• Effective Field Theory Approach to Pionium
• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Chiral effective theory with a light scalar and lattice QCD
• Isospin breaking corrections to low-energy pi-K scattering
• Non-Relativistic Pion Interactions and the Pionium Lifetime
• Electromagnetic Corrections to Charged Pion Scattering at Low Energies
• The pionium lifetime in generalized chiral perturbation theory
• Spectra and decays of pi pi and pi K atoms
• Electromagnetic low-energy constants in ChPT
• Effective Field Theory calculations of $NN\to NN\pi$
• Partial wave analysis of pbar-p to Lambdabar-Lambda
• The phi to pi+ pi- decay within a chiral unitary approach
• Isospin violation in pion-kaon scattering
• Reanalysis of pion pion phase shifts from K -> pi pi decays
• The Impact of |Delta I|=5/2 Transitions in K-> pi pi Decays
• Isospin Breaking and chiral symmetry restoration
• Chiral perturbation theory for nonzero chiral imbalance
• Contribution of higher meson resonances to the electromagnetic $\pi$-meson mass difference
• Explicit generating functional for pions and virtual photons
• Electromagnetic effects in the pion dispersion relation at finite temperature
• Dispersive construction of two-loop $P\to \pi \pi \pi$ $(P=K,\eta )$ amplitudes
• Two-loop representations of low-energy pion form factors and pi-pi scattering phases in the presence of isospin breaking
• Chiral Perturbation Theory in a Nuclear Background
• Dispersive representation of K -> 3 pi amplitudes and cusps
• Determination of SU(2) Chiral Perturbation Theory low energy constants from a precise description of pion-pion scattering threshold parameters
• Isospin Breaking in $K_{\ell 4}$ Decays of the Neutral Kaon
• New light on electromagnetic corrections to the scattering parameters obtained from experiments on pionium
• The ${\pi }^0-\eta -{\eta }^{\prime }$ mixing in a generalized multi-quark interaction scheme
• Isospin-Breaking quark condensates in Chiral Perturbation Theory
• On the effective lagrangian at nonzero isospin chemical potential
• The isospin symmetry breaking effects in $K_{e4}$ decays
• Energy and decay width of the pi-K atom
• A note on the heat kernel coefficients for nonminimal operators
• Review of chiral perturbation theory
• Scalar susceptibilities and Electromagnetic thermal mass differences in Chiral Perturbation Theory
• Thermodynamics and quark condensates of three-flavor QCD at low temperature
• Chiral perturbation theory confronted with experiment
• Radiative corrections to neutral pion-pair production
• Form factors of the $\rho$ meson from effective field theory and the lattice
• Pionium lifetime and ππscattering lengths in generalized chiral perurbation theory
• Gauge-invariant Green's functions for the bosonic sector of the standard model
• Chiral perturbation theory
• Reducing Hadronic Uncertainty in Low-Energy Neutral-Current Processes
• Baryon chiral perturbation theory with virtual photons and leptons
• Radiative corrections to the charged pion-pair production process {\boldmath${\pi }^{-}\gamma \to {\pi }^{+}{\pi }^{-}{\pi }^{-}$} at low energies
• Novel method for determining the light quark mass ratio using ${\eta }^{\prime }\to \eta \pi \pi$ decays
• Finite-temperature effects on the threshold cusps in $\pi \pi$ and $D{\bar{D}}^{\ast }$ scatterings from relativistic heavy-ion collisions