Generating Functional for Strong and Nonleptonic Weak Interactions

Abstract

The generating functional for Green functions of quark currents is given in closed form to next-to-leading order in the low-energy expansion for chiral SU(3), including one-loop amplitudes with up to three meson propagators. Matrix elements and form factors for strong and nonleptonic weak processes with at most six external states can be extracted from this functional by performing three-dimensional flavour traces. To implement this procedure, a Mathematica program is provided that evaluates amplitudes with at most six external mesons, photons (real or virtual) and virtual W (semileptonic form factors). The program is illustrated with several examples that can be compared with existing calculations.

26 pages; references added, comparison with other programs added, small changes in the text, version to appear in JHEP

References in corpus (11)

• On the Foundations of Chiral Perturbation Theory
• Chiral Perturbation Theory with Virtual Photons and Leptons
• Isospin Breaking in K -> Pi Pi Decays
• $K\to 3\pi$ Decays in Chiral Perturbation Theory
• Obtaining K to pi pi from Off-Shell K to pi Amplitudes
• The Chiral Anomaly in Non-Leptonic Weak Interactions
• Non-Leptonic Kaon Decays and the Chiral Anomaly
• Four-pion production in e+ e- annihilation
• Explicit generating functional for pions and virtual photons
• The one-loop functional of chiral SU(2)
• Chiral Meson Physics at Two Loops

Cited by in corpus (9)

• Kaon Decays in the Standard Model
• Sterile neutrino dark matter: A tale of weak interactions in the strong coupling epoch
• K -> 3 pi Final State Interactions at NLO in CHPT and Cabibbo's Proposal to Measure a_0-a_2
• One-loop Renormalization of Resonance Chiral Theory: Scalar and Pseudoscalar Resonances
• Subtraction of power counting breaking terms in chiral perturbation theory: spinless matter fields
• Quantum Corrections in the Resonance Chiral Theory
• Chiral Perturbation Theory Reflections on Effective Theories of the Standard Model
• One-loop Renormalization of Resonance Chiral Theory with Scalar and Pseudoscalar Resonances
• Consistency tests of AMPCALCULATOR and chiral amplitudes in SU(3) Chiral Perturbation Theory: A tutorial based approach