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I summarize the status of neutrino oscillations from world neutrino oscillation data with date of October 2005. The results of a global analysis within the three-flavor framework are presented. Furthermore, a prospect on where we could stand in neutrino oscillations in ten years from now is given, based on a simulation of upcoming long-baseline accelerator and reactor experiments.

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The main aspects of the phenomenology of absolute neutrino masses are reviewed, focusing on the limits on neutrino masses obtained in tritium \(\beta \) decay experiments, cosmological observations and neutrinoless double-\(\beta \) decay experiments.

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The T600 ICARUS detector, with a mass of about 600 tons of liquid argon (LAr), is the largest LAr Time Projection Chamber (TPC) ever built. It has been successfully tested in Pavia/Italy in 2001. More than 29,000 cosmic rays events have been collected during about 100 days of continuous data taking. It was demonstrated that large mass scale LAr TPC technique is operational. The T600 ICARUS test run results are briefly reported in this paper.

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Leptogenesis is a cosmological consequence of the seesaw mechanism and provides a link between the observed baryon asymmetry and neutrino masses. We show which information can be inferred from leptogenesis on neutrino masses and on those high energy seesaw parameters that represent a sort of ‘dark side’ for conventional experiments. We also report on a new scenario of leptogenesis that opens new opportunities for leptogenesis to be tested.

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We report on recent results on the particle mixing and oscillations in Quantum Field Theory, in particular we discuss the proper definition of flavor charge and states in field mixing.

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We discuss the issue of Lorentz invariance for neutrino oscillations by resorting to the properties of flavor charges and currents. It turns out that oscillation formulas are sensitive to the effects of a boost on the source (detector), resulting in a possibly measurable effect.

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For more than a decade, measurements of the semileptonic branching ratio of hadrons containing a \(b\) quark disagreed with the Standard Model predictions. Very recently, a class of strong-interaction effects was found to significantly increase the non-leptonic \(b\) decay rate and thus bring the Standard Model prediction into agreement with the experiment. Final state charm quark mass effects should be determined to refine the theoretical description of \(b\) decays. Prospects for such improvement are discussed in this talk.

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A review of the calculation of the leading three-loop electroweak corrections to the \(\rho \)-parameter, \(\sin ^2 \theta ^{\rm lept}_{\rm eff}\) and the \(W\)-boson mass is presented. The heavy Higgs mass expansion and the renormalization are discussed.

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We discuss an influence of the quantum electrodynamics corrections due to the initial state radiation in the structure function approach and factorizable electroweak \(\cal {O}(\alpha )\) corrections in the pole approximation on the standard model predictions for top quark pair production and decay into six fermions at a linear \(e^+e^-\) collider. The discussion is illustrated with numerical results for one selected six-fermion reaction \({e^+ e^-\rightarrow b \nu _{\mu } \mu ^+ \bar {b} \mu ^-\bar {\nu }_{\mu }}\).

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We summarize our recent results on the resummation of hard-scattering coefficient functions and on-shell form factors in massless perturbative QCD. The threshold resummation has been extended to the fourth logarithmic order for deep-inelastic scattering, Drell–Yan lepton pair production and Higgs production via gluon–gluon fusion. The leading six infrared pole terms have been derived to all orders in the strong coupling constant for the photon–quark–quark and the (heavy-top) Higgs–gluon–gluon form factors. These results have many implications, most notably they lead to a new best estimate for the Higgs production cross section at the LHC.

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In this talk I report on the status of the calculation of the next-to-leading order (NLO) QCD corrections to top-quark pair production together with a jet in hadronic collisions. A precise understanding of this process is of great importance, because \(pp\to t\bar t \textrm { + 1 jet}\) is an important background for the Higgs search in the Higgs mass range 120–180 GeV. In addition the reaction is also an interesting process for precise measurements in the top sector.

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We overview the general status of higher order corrections to Bhabha scattering and review recent progress in the determination of the two-loop virtual corrections. Quite recently, they were derived from combining a massless calculation and contributions with electron sub-loops. For a massive calculation, the self-energy and vertex master integrals are known, while most of the two-loop boxes are not. We demonstrate with an example that a study of systems of differential equations, combined with Mellin-Barnes representations for single masters, might open a way for their systematic calculation.

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This article summarises the status of the ILC project and its physics case. It will be shown that in all studied physics scenarios a 1 TeV linear collider in addition to the LHC will enhance our knowledge significantly and helps to reconstruct the model of new physics nature has chosen.

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The current status of construction of the Large Hadron Collider LHC and the two multi-purpose detectors ATLAS and CMS is reported. The steps necessary to be ready for taking and understanding the first data expected in the second half of 2007 are briefly explained. Examples for early measurements of Standard Model processes are given. The perspectives for discovery of new phenomena in the fields of Higgs bosons, Supersymmetry, and Extra Space Dimensions are summarized.

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A method to efficiently compute, in a automatic way, helicity amplitudes for arbitrary scattering processes at leading order in the Standard Model is presented. The scattering amplitude is evaluated recursively through a set of Dyson–Schwinger equations. The computational cost of this algorithm grows asymptotically as \(3^n\), where \(n\) is the number of particles involved in the process, compared to \(n!\) in the traditional Feynman graphs approach. Unitary gauge is used and mass effects are available as well. Additionally, the color and helicity structures are appropriately transformed so the usual summation is replaced by Monte Carlo techniques. Some results related to the production of vector bosons and the Higgs boson in association with jets are also presented.

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We discuss the standard model factorizable radiative corrections to \(e^+e^- \to \mu ^+\mu ^-\bar {b}b\), which is one of the best detection channels of the low mass Higgs boson produced through the Higgsstrahlung mechanism at a linear collider. The discussion includes the leading virtual and real quantum electrodynamics corrections due to the initial state radiation, the one-loop electroweak factorizable corrections to the on-shell Higgsstrahlung reaction and to subsequent decays of the \(Z\) and Higgs boson, and the quantum chromodynamics corrections to the Higgs boson decay width into a \(b\bar b\)-quark pair.

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We present a determination of the strange quark mass using lattice QCD. Particular focus is put on the definition and renormalization of the mass. The latter is done non-perturbatively, using a recursive finite-size scaling technique. The hadronic regime of QCD, where the kaon mass is used as input of the calculation, is connected with the perturbative regime, where the strange quark mass can be translated into the \(\overline {\rm MS}\) scheme. A summary plot of the present lattice computations using dynamical (sea) quarks is included.

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The status of the analysis of \(e^+e^-\) annihilation using the radiative return technique at BaBar is presented. Cross sections for the processes \(e^+e^- \to \pi ^+\pi ^-\pi ^0,~{\pi ^{+}} {\pi ^{-}} {\pi ^{+}}{\pi ^{-}},~ {\pi ^{+}} {\pi ^{-}} {K^{+}} {K^{-}},~{K^{+}} {K^{-}}{K^{+}}{K^{-}},~ 3({\pi ^{+}} {\pi ^{-}})\), \(\pi ^0\pi ^0 2({\pi ^{+}} {\pi ^{-}}),~ {K^{+}}K^+K^-2({\pi ^{+}} {\pi ^{-}})\) and \(p\bar {p}\) are measured in the energy range from threshold up to 4.5 GeV. Studies on resonant structures involved in these processes have been performed. We present also new precise measurements of the effective proton form factor and of the ratio of the electric to magnetic proton form factor, \(|G_{\rm E}\) / \(G_{\rm M}|\). In addition, the \(J\) / \(\psi \) and \(\psi (2S)\) branching fractions to all these final states have been measured.

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A short review of both theoretical and experimental aspects of the radiative return method is presented. It is emphasised that the method gives not only possibility of the independent from the scan method measurement of the hadronic cross section, but also can provide information concerning details of the hadronic interactions. New developments in the PHOKHARA event generator are also reviewed. The 3 pion and kaon pair production is implemented within the version 5.0 of the program, together with contributions of the radiative \(\phi \) decays to the 2 pion final states. Missing NLO radiative corrections to the \(e^+e^- \to \mu ^+\mu ^- \gamma \) process will be implemented in the forthcoming version of the generator.

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A new resonance, \(Y(4260)\) with a mass of \(4259 \pm 8 ^{+2}_{-6}\) MeV / \(c^2\) and \(J^{\,\rm PC} = 1^{--}\), discovered by the BaBar experiment shows peculiar behavior in his decay mode. The \({\mit \Lambda }^+_c\) baryon mass has been measured, using its decays to \({\mit \Lambda } K^0_{\rm S}K^+\) and \({\mit \Sigma }^0K^0_{\rm S}K^+\), and its value is \(2286.46 \pm \)0.14 MeV / \(c^2\), the precision is greatly improved w.r.t. PDG value. \({\mit \Xi }^0_{c}\) and \({\mit \Omega }^0_{c}\) decays and production have been studied with results greatly improved w.r.t. PDG.

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Contributions from the reaction \(e^+e^- \to \pi ^+\pi ^- e^+e^-\) to the pion form factor measurement via radiative return method are discussed basing on the results of a Monte Carlo generator (EKHARA). The generator contains contributions from the initial and final state emission of a \(e^+e^-\) pair from \(e^+e^-\to \pi ^+\pi ^-\) production diagrams and the \(\pi ^+\pi ^-\) pair production from space-like and time-like Bhabha diagrams. A detailed study is performed for the \({\Phi }\)-factory energy. Tests of the generation procedure are also presented.

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Recent results obtained by the KLOE experiment operating at the DA\(\Phi \)NE \(e^+e^-\) collider are presented. They include: the measurements of the branching ratios of the semileptonic kaon decays and the decay \(K^+ \to \mu \nu (\gamma )\) and the related \(V_{us}\) determination, the study of the quantum interference in the channel \({\phi }\to K_{\rm S}K_{\rm L}\to \pi ^+\pi ^-\pi ^+\pi ^-\), the measurement of the total \(e^+e^-\) hadronic cross section using initial state radiation, the radiative decay \({\phi }\to f_0 \gamma \) and the ratio BR\(({\phi }\to \eta '\gamma )\) / \({\rm BR}({\phi }\to \eta \gamma )\).

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Coherent analyses of experimental results from LHC and ILC will allow us to draw a comprehensive and precise picture of the supersymmetric particle sector. Based on this platform the fundamental supersymmetric theory can be reconstructed at the high scale which is potentially close to the Planck scale. This procedure will be reviewed for three characteristic examples: minimal supergravity as the paradigm; a left–right symmetric extension incorporating intermediate mass scales; and a specific realization of string effective theories.

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In supersymmetry with large \(\tan \beta \) the decays \(B^0(\bar {B}^0)\rightarrow l^+l^-\) are dominated by the scalar and pseudoscalar Higgs penguin diagrams leading to strong enhancement of leptonic decay rates with potentially large CP asymmetries in the \(\tau ^+\tau ^-\) decay modes measurable in BELLE or BaBar experiments. The TAUOLA \(\tau \)-lepton decay library supplemented by its universal interface can efficiently be used to search for \(B^0(\bar {B}^0)\rightarrow \tau ^+\tau ^-\) decays, and to investigate how the CP asymmetry is reflected in realistic experimental observables.

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Production of neutralinos in cascade decays of selectrons with subsequent three-body leptonic neutralino decays is discussed. It is shown that a high degree of polarization of such neutralinos and possibility of reconstructing their rest frames could provide new tools to verify the Majorana nature of neutralinos and to measure the CP violation in the neutralino sector of the MSSM.

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The phenomenology as well as the main experimental aspects of extra space dimensions at present and future colliders are reviewed.

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Perturbative unitarity for \(W_{\rm L}^+ W_{\rm L}^- \to W_{\rm L}^+ W_{\rm L}^-\) scattering is discussed within the Randall–Sundrum theory with two 3-branes. It is shown that the exchange of massive 4D Kaluza–Klein gravitons leads to amplitudes growing linearly with the CM energy squared. If the curvature, \(m_0\), of the metric is too small, the gravitational contributions lead to a violation of unitarity. However, \(m_0\) must be small enough relative to the 5D Planck mass, \(M_{\rm Pl5}\), to avoid quantum gravitational effects. As a result, we find that there is only a small range of \(m_0\) / \(M_{\rm Pl}\) for which the model is consistent. The width of the window is determined by the size of the 4D cutoff of the theory. The extension of the Randall–Sundrum scenario to include curvature-Higgs mixing is also considered and limits on the mixing parameter are determined.

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We consider general 5-dimensional gauge theories compactified on an orbifold \(S_1\) / \(Z_2\) with all fields propagating in the bulk. We propose a generalized set of boundary conditions and derive the general features of the low energy-spectrum. The results are illustrated with two simple examples.

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Search for new-physics through possible anomalous \(t\bar {t}\gamma \), \(tbW\) and \(\gamma \gamma H\) couplings which are generated by SU\((2)\times \) U(1) gauge-invariant dimension-6 effective operators is discussed, using energy and angular distributions of final charged-lepton / \(b\)-quark in \(\gamma \gamma \to t\bar {t} \to \ell X\) / \(bX\) for various beam polarizations. Optimal beam polarizations that minimize uncertainty in determination of those non-standard couplings are found performing an optimal-observable analysis.