Generating Functional for Strong and Nonleptonic Weak Interactions

Details Generating Functional for Strong and Nonleptonic Weak Interactions Generating Functional for Strong and Nonleptonic Weak Interactions

2005-07-14

arxiv.org/abs/hep-ph/0507173v2

JHEP 0510 (2005) 017

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1088/1126-6708/2005/10/017

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.

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