Combined Forward-Backward Asymmetry Measurements in Top-Antitop Quark Production at the Tevatron

The CDF and D0 experiments at the Fermilab Tevatron have measured the asymmetry between yields of forward- and backward-produced top and antitop quarks based on their rapidity difference and the asymmetry between their decay leptons. These measurements use the full data sets collected in proton-antiproton collisions at a center-of-mass energy of $\sqrt s =1.96$ TeV. We report the results of combinations of the inclusive asymmetries and their differential dependencies on relevant kinematic quantities. The combined inclusive asymmetry is $A_{\mathrm{FB}}^{t\bar{t}} = 0.128 \pm 0.025$. The combined inclusive and differential asymmetries are consistent with recent standard model predictions

Characterization and generation of straight line segments on triangular cell grid

International audienceIn this paper we are considering straight lines and straight line segments defined by two triangle centroids in the triangular cell grid. A generation algorithm determining all the triangles (triangular cells) that are crossed by a straight line segment is proposed. There is the particular case where straight lines or straight line segments cross a vertex of the grid. We propose an arithmetical characterization of such lines and line segments

Digital Two-dimensional Bijective Reflection and Associated Rotation

In this paper, a new bijective reflection algorithm in two dimensions is proposed along with an associated rotation. The reflection line is defined by an arbitrary Euclidean point and a straight line passing through this point. The reflection line is digitized and the 2D space is paved by digital perpendicular (to the reflection line) straight lines. For each perpendicular line, digital points are reflected by central symmetry with respect to the reflection line. Two consecutive digital reflections are combined to define a digital bijective rotation about arbitrary center (i.e. bijective digital rigid motion)

Digital two dimentional bijective reflexion and associated rotation

International audienc