First results for three-loop deep-inelastic structure functions in QCD

As a first step towards the complete calculation of deep-inelastic scattering at third order of massless perturbative QCD, we have computed the fermionic (nf) contributions to the flavour non-singlet structure functions in unpolarized electromagnetic scattering. We briefly discuss the approach chosen for this calculation, the problems we encountered and the status of the project. We show the results for the corresponding anomalous dimension in both Mellin-N and Bjorken-x. Together with the nf part of A_3, our calculation facilitates the complete determination of the threshold-resummation coefficients B_2 and D_2^DIS. The latter quantity vanishes in the MSbar scheme.Comment: 5 pages, LaTeX. Talk given at RADCOR02, Kloster Ban

Playing endgame chess with the Tsetlin Machine

Master's thesis in Information- and communication technology (IKT590)The report is about training an Artificial Intelligence(AI) that is able to play out endgames, using the existing solved endgame of chess to train the Tsetlin Machine on. This report describes the methods used to train and test a Tsetlin Ma-chine using both the convolutional and multiclass implementation. We have further tested out different methods to handle the data it trains on to investigate what methods work best. Where these methods are; to split the data for two machines for either white or black starting player, transforming the data to only be from one starting players perspective and one splitting based on results by first having one machine looking at win versus draw and loss, then a second machine for looking at draw versus loss. The results showed that some of the methods used, involving only looking at one players perspective, worked well for predicting if the board would lead to a win with perfect play. Since several om the methods achieved over90% accuracy in the testing, while the best achieves an accuracy of 95%. However the playing off the endgame was lacking, as the games mostly ended in draws even when the Tsetlin Machine should have been able to win. Such as only drawing against each other, and only drawing against Monte Carlo Tree Search

Double Higgs production in the high-and low-energy limits

In this talk we discuss some of the computational aspects of some recent computations of double Higgs production in gluon fusion. We consider the challenges encountered in computing the high-energy limit of the NLO virtual corrections and the large top quark mass limit of the NNLO virtual corrections