(Oral presentation given in the Midterm meeting of of EURIDICE Network, 8.-12.2.2005, Frascati, Italy)
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| Abstract:
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The theoretical description of leptonic, semi- and non-leptonic weak
decays of pseudoscalar mesons has been not only known to be extremly
challenging since at least five decades, is it also well known to be of
crucial importance for our understanding of various still puzzling aspects
within the standard model of particle physics and beyond, like e.g.
CP-violation, CKM-matrix elements, heavy quark physics,
the theory of strong interactions, the existence and properties of
scalar meson resonances etc..
To use the words of G. Colangelo during a 2003 workshop on hadron physics
in Coimbra: "The calculation of the K --> pi pi amplitude in the
Standard Model still remains one of the most difficult and yet unsolved
problems of today's particle physics, despite many years of efforts and
progress in our understandings of various related physics aspects."
To our understanding this is due to the fact, that one does not exactly
know, how to obtain a quantitative estimate of contributions from strong
interactions to respective decay processes, while the electroweak
contributions to these processes seem to be at least approximately
known. As the direct implementation of QCD in this context in particular
at intermediate energies is rather cumbersome, it is very popular
to estimate the strong interaction contributions to respective weak
decay processes on the basis of a low energy effective description of
strong interaction physics known as Chiral Perturbation Theory.
Our presentation is supposed to report on most recent complementary
very promising theoretical results and techniques for the description
of leptonic, semi- and non-leptonic weak light and heavy pseudoscalar
meson decays, in which the contributions of strong interactions are
determined on the basis of the Quark-Level Linear Sigma Model (QLLSM).
The QLLSM does not only allow us to illuminate
explicitly an intimate formalistic relation between electroweak and
strong interactions, yet also to test the importance and properties
of vector and scalar meson dominance contributions.
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| Date: Friday, 11.2.2005
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| Room: Aula Bruno Touschek, INFN-Frascati National Laboratory, Italy
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| Time : 10:45-11:05 am
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| Transparencies:
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| Transparency Nr. 01 (Frontpage, copyright)
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| Transparency Nr. 02 (Pairing of scalar and vector mesons)
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| Transparency Nr. 03 (QLLSM - N. Cabbibo and L. Maiani, 1970)
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| Transparency Nr. 04 (QLLSM - N. Cabbibo and L. Maiani, 1970)
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| Transparency Nr. 05 (QLLSM - N. Cabbibo and L. Maiani, 1970)
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| Transparency Nr. 06 (QLLSM - F. Kleefeld, M.D. Scadron, G. Rupp, E. van Beveren)
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| Transparency Nr. 07 (Conjectures about scalar mesons and related Lagrangeans)
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| Transparency Nr. 08 (Motivating the QLLSM Lagrangean from QCD)
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| Transparency Nr. 09 (Motivating the QLLSM Lagrangean from QCD)
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| Transparency Nr. 10 (Motivating the QLLSM Lagrangean from QCD)
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| Transparency Nr. 11 (Flavour U(6) x U(6) meson field matrices)
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| Transparency Nr. 12 (Motivating the QLLSM Lagrangean from QCD)
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| Transparency Nr. 13 (Motivating the QLLSM Lagrangean from QCD)
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| Transparency Nr. 14 (The QLLSM Lagrangean used in the following)
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| Transparency Nr. 15 (New method to determine the Effective Action for specific processes)
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| Transparency Nr. 16 (Resulting Effective Action for leptonic pseudoscalar meson decays)
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| Transparency Nr. 17 (Derivation of GT-relations/sum-rules for pseudoscalar decay constants)
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| Transparency Nr. 18 (List of resulting sum-rules for pseudoscalar decay constants)
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| Transparency Nr. 19 (Resulting Effective Action for semi-leptonic pseudoscalar meson decays)
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| Transparency Nr. 20 (Effective Action for semi-leptonic pion and kaon decays - examples)
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| Transparency Nr. 21 (Resulting vector and scalar meson dominance in K+ --> Pi0 transition formfactors)
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| Transparency Nr. 22 ("Measuring" the complex (purely imaginary) phase of the QLLSM Yukawa coupling)
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| Transparency Nr. 23 (Particle Data Group values for f-(0)/f+(0) for K+ --> Pi0 transitions)
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| Transparency Nr. 24 (Particle Data Group values for f-(0)/f+(0) for K+ --> Pi0 transitions)
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| Transparency Nr. 25 (|m_u| as a function of m_s/m_u for given f+(0))
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| Transparency Nr. 26 (|m_u| as a function of m_s/m_u for given f+(0))
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| Transparency Nr. 27 (|m_kappa| as a function f-(0)/f+(0) for given f+(0))
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| Transparency Nr. 28 (Resulting expressions for K0 --> Pi- transition formfactors)
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| Transparency Nr. 29 (Resulting expressions for D+ --> Pi0 transition formfactors)
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| Transparency Nr. 30 (Vacuum saturation puzzle in non-leptonic pseudoscalar meson decays)
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| Transparency Nr. 31 (Non-leptonic pseudoscalar meson decay puzzle explained in the QLLSM)
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| Transparency Nr. 32 (Vacuum saturation proposed by M.D. Scadron and S.R. Choudhury, 1987)
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| Transparency Nr. 33 (Vacuum saturation proposed by M.D. Scadron and S.R. Choudhury, 1987)
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