Recent trends in lattice QCD calculations and latest results are reviewed, with particular emphasis on multiquark-states and the nucleon structure.

Contributions to the decay rates of P-wave charmonium states that are proportional to nfα 3 s, where nf is the number of flavors of light quarks, are calculated in the framework of nonrelativistic QCD using the threshold expansion method. Dimensional regularization is used to regularize the infrared divergences that arise from the emission of a soft gluon. Our results are consistent with the or...

We present a detailed study of the decays of the Higgs bosons H, H, and A within the Minimal Supersymmetric Standard Model including SUSY–QCD corrections. We find that the supersymmetric modes t̃ ̄̃ b (t̃̄t̃, and for large tanβ b̃ ̄̃ b) can dominate the H (H, A) decays in a wide range of the model parameters due to the large Yukawa couplings and mixings of t̃ and b̃. Compared to the conventional modes H →...

I discuss the effects of QCD radiative corrections in Supersymmetric theories. After summarizing the SUSY– QCD lagrangian in the Minimal Supersymmetric extension of the Standard Model, I will discuss the new features introduced by SUSY, and the main complications compared to standard QCD corrections. I will then discuss a few examples of QCD calculations in SUSY theories, for standard processes...

Quark confinement in MSSM QCD as a consequence of supersymmetry and instanton effects. Abstract It is shown, that instanton effects naturally produce quark confinement in MSSM QCD. The confinement scale, calculated from the first principles, is in a good agreement with the experimental data. The proposed explanation is quite different from the dual Higgs mechanism.

Lattice QCD results on the spectroscopy of charmonium(like) states and open charm mesons are reviewed. Near-threshold states X(3872) and D s0(2317) were treated rigorously for the first time and the searches for Z c (3900), X(4140) and ccud were carried out. The first simulations of the resonances with charm quarks have been performed, including the determination of their strong decay widths. S...

Pentaquark baryons Θ and Ξ−− are studied in the dual gravity theory of QCD in which simple mass formulae of pentaquarks are derived in the Maldacena prototype model for supersymmetric QCD and a more realistic model for ordinary QCD. In this approach it is possible to explain the extremely narrow decay widths of pentaquarks. With the aim of constructing more reliable mass formulae, a sketch is g...

We discuss the temperature-dependence of S-wave quarkonium spectral functions in a nonrelativistic Green’s function approach and compare these to lattice QCD results.

The transverse momentum ow inside jets is a sensitive measure of internal jet structure. For the current jets in deep inelastic scattering this jet shape measure is determined at order 2 s , i.e. with up to three partons inside a single jet. The scale dependence of jet shapes in various jet algorithms is discussed. Results agree well with recent measurements by the ZEUS Collaboration, without i...