| Title: | QUARK MIXING AND CP VIOLATION — THE CKM MATRIX |
| DOI No: | 10.1142/9789812704023_0014 |
| Source: | LEPTON AND PHOTON INTERACTIONS AT HIGH ENERGIES (pp 141-154)
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| Author(s): | ULRICH NIERSTE
Institut für Theoretische Teilchenphysik, Universität Karlsruhe, 76128 Karlsruhe, Germany
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| Abstract: | I summarize the theoretical progress in the determination of the CKM elements since Lepton-Photon 2003 and present the status of the elements and parameters of the Cabibbo-Kobayashi-Maskawa (CKM) matrix. One finds |Vus| = 0.2227 ± 0.0017 from K and τ decays and |Vcb| = (41.6 ± 0.5) · 10-3 from inclusive semileptonic B decays. The unitarity triangle can now be determined from tree-level quantities alone and the result agrees well with the global fit including flavour-changing neutral current (FCNC) processes, which are sensitive to new physics. From the global fit one finds the three CKM angles θ12 = 12.9° ± 0.1°, θ23 = 2.38° ± 0.03° and θ13 = 0.223° ± 0.007° in the standard PDG convention. The CP phase equals  at 1σ CL and  at 2σ CL. A major progress are first results from fully unquenched lattice QCD computations for the hadronic quantities entering the UT fit. I further present the calculation of three-loop QCD corrections to the charm contribution in  decays, which removes the last relevant theoretical uncertainty from the  system. Finally I discuss mixing-induced CP asymmetries in  penguin decays, whose naive average is below its Standard Model value by 3σ. |
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