The measurement of the total tt̄ cross section constitutes a major part of the top physics program at a future ee International Linear Collider (ILC). Due to the large top quark mass and the large width Γt ≫ ΛQCD, non perturbative effects are strongly suppressed at energies around the threshold. Therefore it is possible to determine top quark properties like the mass mt and the width Γt, but als...

It has been suggested that the chiral symmetry can be implemented only in classical Lagrangians containing higher covariant derivatives of odd order. Contrary to this belief, it is shown that one can construct an exactly soluble two-dimensional higher-derivative fermionic quantum field theory containing only derivatives of even order whose classical Lagrangian exhibits chiral-gauge invariance. ...

The three-loop QCD contributions to the vacuum polarization functions of the Z and W bosons at zero momentum are calculated. The top quark is considered to be massive and the other quarks massless. Using these results, we calculate the correction to the electroweak ρ parameter. All computations are done in the framework of dimensional regularization as well as regularization by dimensional redu...

Let {sk, k ≥ 0} be the sequence defined from a given initial value, the seed, s0, by the recurrence sk+1 = s 2 k − 2, k ≥ 0. Then, for a suitable seed s0, the number Mh,n = h · 2n − 1 (where h < 2n is odd) is prime iff sn−2 ≡ 0 mod Mh,n. In general s0 depends both on h and on n. We describe a slight modification of this test which determines primality of numbers h·2n±1 with a seed which depends...

Generalized matter couplings to four-dimensional supersymmetric sigma models on general Kähler manifolds are presented, preserving all holomorphic symmetries. Our generalization allows assignment of arbitrary U(1) charges to additional matter fermions, in all representations of (the holomorphic part of) the isometry group. This can be used to eliminate unwanted γ5 anomalies, in particular for t...

The presently most accurate prediction for the W-boson mass in the Standard Model is obtained by combining the complete two-loop result with the known higherorder QCD and electroweak corrections. The numerical impact of the different contributions is analysed in detail. A simple parametrisation of the full result is presented, which approximates the full result for MW to better than 0.5 MeV for...

The cross section for the photoproduction of events containing three jets with a three-jet invariant mass of M3J > 50 GeV has been measured with the ZEUS detector at HERA. The three-jet angular distributions are inconsistent with a uniform population of the available phase space but are well described by parton shower models andO(αα s ) pQCD calculations. Comparisons with the parton shower mode...

The linear programming (LP) is one of the most popular necessary optimization tool used for data analytics as well as in various scientific fields. However, the current state-of-art algorithms suffer from scalability issues when processing Big Data. For example, the commercial optimization software IBM CPLEX cannot handle an LP with more than hundreds of thousands variables or constraints. Exis...

A quantum model on the chemically and physically induced pluripotency in stem cells is proposed. Based on the conformational Hamiltonian and the idea of slow variables (molecular torsions) slaving fast ones the conversion from the differentiate state to pluripotent state is defined as the quantum transition between conformational states. The transitional rate is calculated and an analytical for...

and Applied Analysis 3 to be of the limit point or limit circle type is given in 4, 43 . These two papers seem to be the only ones on time scales which are devoted to the Weyl-Titchmarsh theory for the second order dynamic equations. Another way of generalizing the Weyl-Titchmarsh theory for continuous and discrete Hamiltonian systems was presented in 3, 5 . In these references the authors cons...