Generating functional for strong and nonleptonic weak interactions | Zendy

Rene Unterdorfer | Zendy; Gerhard F. Ecker | Zendy

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Generating functional for strong and nonleptonic weak interactions

Author(s) -

Rene Unterdorfer,

Gerhard F. Ecker

Publication year - 2005

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2005/10/017

Subject(s) - physics , particle physics , propagator , virtual particle , quark , meson , flavour , amplitude , photon , matrix (chemical analysis) , mathematical physics , quantum mechanics , materials science , composite material

The generating functional for Green functions of quark currents is given inclosed form to next-to-leading order in the low-energy expansion for chiralSU(3), including one-loop amplitudes with up to three meson propagators. Matrixelements and form factors for strong and nonleptonic weak processes with atmost six external states can be extracted from this functional by performingthree-dimensional flavour traces. To implement this procedure, a Mathematicaprogram is provided that evaluates amplitudes with at most six external mesons,photons (real or virtual) and virtual W (semileptonic form factors). Theprogram is illustrated with several examples that can be compared with existingcalculations.Comment: 26 pages; references added, comparison with other programs added, small changes in the text, version to appear in JHE

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