Bruhat intervals as rooks on skew Ferrers boards

We characterise the permutations pi such that the elements in the closed lower Bruhat interval [id,pi] of the symmetric group correspond to non-taking rook configurations on a skew Ferrers board. It turns out that these are exactly the permutations pi such that [id,pi] corresponds to a flag manifold defined by inclusions, studied by Gasharov and Reiner. Our characterisation connects the Poincare polynomials (rank-generating function) of Bruhat intervals with q-rook polynomials, and we are able to compute the Poincare polynomial of some particularly interesting intervals in the finite Weyl groups A_n and B_n. The expressions involve q-Stirling numbers of the second kind. As a by-product of our method, we present a new Stirling number identity connected to both Bruhat intervals and the poly-Bernoulli numbers defined by Kaneko.Comment: 16 pages, 9 figure

QCD Physics Lessons of Z0 Decay

This talk contains a subjective selection of interesting results on Z$^0$ decays, presented by the LEP and SLC groups. The emphasis is on soft and semihard QCD physics. Results are put in a theoretical context, and the limits of our current understanding are stressed. Topics covered include event measures, prompt photons, coherence and string effects, data and theory for particle rates and spectra, particle correlations and Bose--Einstein effects.Comment: 9 pages, no figures, LaTeX2epsilon input, alternatively ready-made postscript file is available at http://thep.lu.se/tf2/staff/torbjorn/Welcome.htm

New Showers with transverse-momentum-ordering

Two new showering routines are introduced, one for timelike final-state showers and one for spacelike initial-state ones. They are both based on emissions ordered in approximate transverse momenta that can easily be translated to virtualities. Matrix-element corrections can then be imposed as in the existing Pythia routines.Comment: LaTeX, 4 pages, submitted to the proceedings of the Workshop on Physics at TeV Colliders, Les Houches, France, 26 May - 6 June 200

On the sign-imbalance of skew partition shapes

Let the sign of a skew standard Young tableau be the sign of the permutation you get by reading it row by row from left to right, like a book. We examine how the sign property is transferred by the skew Robinson-Schensted correspondence invented by Sagan and Stanley. The result is a remarkably simple generalization of the ordinary non-skew formula. The sum of the signs of all standard tableaux on a given skew shape is the sign-imbalance of that shape. We generalize previous results on the sign-imbalance of ordinary partition shapes to skew ones.Comment: 14 pages; former section 8 is removed and the rest is slightly update

Measurements of the inclusive jet cross section and jet fragmentation in pp collisions with the ALICE experiment at the LHC

Jet reconstruction and jet fragmentation variables provide important information to study the interaction between hard scattered partons and the Quark-Gluon Plasma. This paper presents the measurement of the inclusive cross section for fully reconstructed jets in pp collisions at sqrt(s) = 2.76 TeV, which provides an essential reference for jet measurements in Pb-Pb collisions at the same sqrt(s_NN). In addition, we report jet fragmentation measurements for charged particle jets in pp collisions at sqrt(s) = 7 TeV. These measurements utilize the ALICE central barrel tracking system to detect charged particles with good efficiency above 150 MeV/c, together with the Electromagnetic Calorimeter (EMCal). The jet cross section and fragmentation measurements are compared to theoretical calculations and Monte Carlo generators.Comment: 4 page, 6 figures, proceeding for the Fifth International Conference on Hard and Electromagnetic Probes of High Energy Nuclear Collisions (Hard Probes 2012), May 27 - June 1, Cagliari, Ital

Multiple Interactions and Beam Remnants

Open issues on the structure of multiple interactions are outlined. An improved model is summarized, with a new approach to correlated parton densities in flavour, colour, longitudinal and transverse momenta, for both hard-scattering partons and beam-remnant ones.Comment: LaTeX, 5 pages, submitted to the proceedings of the Workshop on Physics at TeV Colliders, Les Houches, France, 26 May - 6 June 200

Measurement of D-meson production in pp collisions with ALICE at the LHC

The $\textit p_{T}$-differential cross section of D mesons in the rapidity range $|y|< 0.5$ was measured in pp collisions at $\sqrt{s}$ = 2.76, 7 and 8 TeV. D mesons were reconstructed in their hadronic decay channels by means of the invariant mass analysis. The D-meson production cross sections is compared among different energies and to pQCD calculations. Also the prompt D meson are studied as a function of the multiplicity of charged articles produced in inelastic pp collisions at a centre-of-mass energy of $\sqrt{s}$ = 7 TeV. The measurements are compared with model calculations.Comment: 3 pages, 5 figures, XXII DAE-BRNS High Energy Physics Symposium 201

Technihadron Production and Decay at LEP2

The simple "straw-man" model of low-scale technicolor contains light color--singlet technihadrons, which mix with the electroweak gauge bosons. We present lepton collider production rates at the parton level, and show that experiments at LEP2 may be sensitive to the presence of technirho and techniomega states with masses 10-20 GeV beyond the center-of-mass energy because of the mixing. The exact sensitivity depends on several parameters, such as the technipion mass, the technipion mixing angle, and the charge of the technifermions. In an appendix, we describe the implementation of the model into the event generator PYTHIA for particle-level studies at lepton and hadron colliders.Comment: 18 pages (5 figures) in Latex forma