Electromagnetism in nonleptonic weak interactions

Abstract

We construct a low-energy effective field theory that permits the complete treatment of isospin-breaking effects in nonleptonic weak interactions to next-to-leading order. To this end, we enlarge the chiral Lagrangian describing strong and Delta S=1 weak interactions by including electromagnetic terms with the photon as additional dynamical degree of freedom. The complete and minimal list of local terms at next-to-leading order is given. We perform the one-loop renormalization at the level of the generating functional and specialize to K -> pi pi decays.

17 pages, 1 figure; 2 references added, final version for publication in Nucl. Phys. B

References in corpus (6)

• epsilon'/epsilon in the Chiral Limit
• pi^0-eta Mixing and CP Violation
• Analysis of O(p^2) Corrections to <pi pi|Q_{7,8}|K>
• Electromagnetic Corrections to K -> pi pi I: Chiral Perturbation Theory
• Strong Isospin-Breaking Effects in K-->pi pi at Next-to-Leading Order in the Chiral Expansion
• Electromagnetic Corrections to K->pi pi II - Dispersive Matching

Cited by in corpus (32)

• Kaon Decays in the Standard Model
• Flavor Physics in the Quark Sector
• Mesonic low-energy constants
• On the Power Counting in Effective Field Theories
• Kaon Matrix Elements and CP-violation from Quenched Lattice QCD: (I) the 3-flavor case
• The Standard Model Prediction for epsilon'/epsilon
• Electromagnetic corrections in the anomaly sector
• Isospin Breaking in K -> Pi Pi Decays
• Direct CP violation in $K^0\to \pi \pi$: Standard Model Status
• Four-point correlator constraints on electromagnetic chiral parameters and resonance effective Lagrangians
• $K\to 3\pi$ Decays in Chiral Perturbation Theory
• Leptonic universality breaking in Upsilon decays as a probe of new physics
• Isospin-Violating Contributions to ${\epsilon }^{\prime }/\epsilon$
• Isospin Breaking in $K\to 3\pi$ Decays III: Bremsstrahlung and Fit to Experiment
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• K^+ -> pi^+ pi^0 Decays on Finite Volumes and at Next-to-Leading Order in the Chiral Expansion
• Fingerprints of heavy scales in electroweak effective Lagrangians
• Charged Kaon K \to 3 pi CP Violating Asymmetries at NLO in CHPT
• The s ---> d gamma decay in and beyond the Standard Model
• Isospin Breaking in $K\to 3\pi$ Decays II: Radiative Corrections
• Isospin Breaking in $K\to 3\pi$ Decays I: Strong Isospin Breaking
• SU(3) analysis of four-quark operators: $K\to \pi \pi$ and vacuum matrix elements
• What is the (epsilon'/epsilon)_exp Telling Us ?
• Explicit generating functional for pions and virtual photons
• Portal Effective Theories: A framework for the model independent description of light hidden sector interactions
• Virtual Photon Correction to the $K^{+}\to {\pi }^{+}{\pi }^0{\pi }^0$ Decay
• Quantum Corrections in the Resonance Chiral Theory
• $K\to \pi \pi$ Decay Amplitude on the Lattice
• Estimates of the isospin-violating ${\Lambda }_b\to {\Sigma }^0\varphi ,{\Sigma }^{0}J/\psi$ decays and the $\Sigma -\Lambda$ mixing
• Watson's theorem and electromagnetism in K -> pi pi decay
• Isospin-breaking contributions to ${\epsilon }^{\prime }/\epsilon$
• Chiral loop corrections and isospin violation effects in epsilon'/epsilon