[en] We calculate the polarized massive two-loop pure singlet Wilson coefficient contributing to the structure functions g${}_1$(x,Q${}^2$) analytically in the whole kinematic region. The Wilson coefficient contains Kummer-elliptic integrals. We derive the representation in the asymptotic region Q${}^2$$\gg <!--\; ???\; -->$m${}^2$, retaining power corrections, and in the threshold region. The massless Wilson coefficient is recalculated. The corresponding twist-2 corrections to the structure function g${}_2$(x,Q${}^2$) are obtained by the Wandzura-Wilczek relation. Numerical results are presented.

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[en] The following recommendations are based on the chapter III of a State of the Art review conducted by the Task Group 2 of the RILEM Technical Committee 241-MCD ‘‘Mechanisms of cracking and debonding in asphalt and composite pavements’’ (Petit et al in Mechanisms of cracking and debonding in asphalt and composite pavements. Chapter III of the State-of-the-Art report of the RILEM technical committee 241-MCD series, vol 28. Springer, New York, pp 103–154. ISBN 978-3-319-76848-9 2018). The recommendations mostly concern “pure” fracture mode test methods that are currently used worldwide and even standardized, while mixed mode test methods developed by few research teams have not received full attention. This paper intends to give guidance for the application and characterization of interlayer bond testing, looking at the appropriate test methods and the importance of influencing parameters.

[en] We calculate the polarized massive two–loop pure singlet Wilson coefficient contributing to the structure functions $g_1(x,Q^2)$ analytically in the whole kinematic region. The Wilson coefficient contains Kummer–elliptic integrals. We derive the representation in the asymptotic region $Q^2\gg m^2$, retaining power corrections, and in the threshold region. The massless Wilson coefficient is recalculated. The corresponding twist–2 corrections to the structure function $g_2(x,Q^2)$ are obtained by the Wandzura–Wilczek relation. Numerical results are presented.

[en] We report on recent progress in the calculation of the 3-loop massive Wilson coefficients in deep-inelastic scattering at general values of N for neutral and charged current reactions in the asymptotic region Q²>>m².

[en] We present our most recent results on the calculation of the heavy flavor contributions to deep-inelastic scattering at 3-loop order in the large Q² limit, where the heavy flavor Wilson coefficients are known to factorize into light flavor Wilson coefficients and massive operator matrix elements. We describe the different techniques employed for the calculation and show the results in the case of the heavy flavor non-singlet and pure singlet contributions to the structure function F₂(x,Q²).

[en] We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region Q²>>m². We discuss the different methods used to compute the required operator matrix elements and the corresponding Feynman integrals. These methods very recently allowed us to obtain a series of new operator matrix elements and Wilson coefficients like the flavor non-singlet and pure singlet Wilson coefficients.

[en] With the observation of high-energy astrophysical neutrinos by the IceCube Neutrino Observatory, interest has risen in models of PeV-mass decaying dark matter particles to explain the observed flux. We present two dedicated experimental analyses to test this hypothesis. One analysis uses 6 years of IceCube data focusing on muon neutrino 'track' events from the Northern Hemisphere, while the second analysis uses 2 years of 'cascade' events from the full sky. Known background components and the hypothetical flux from unstable dark matter are fitted to the experimental data. Since no significant excess is observed in either analysis, lower limits on the lifetime of dark matter particles are derived: we obtain the strongest constraint to date, excluding lifetimes shorter than 10²⁸ s at 90% CL for dark matter masses above 10 TeV. (orig.)