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We calculate the massive flavor non-singlet Wilson coefficient for the heavy flavor contributions to the structure function $F_2(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ and the associated operator matrix element $A_{qq,Q}^{(3), \rm…

高能物理 - 唯象学 · 物理学 2014-07-23 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , M. Round , C. Schneider , F. Wißbrock

We present the two-mass QCD contributions to the pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the structure function $F_2(x,Q^2)$ at $O(\alpha_s^3)$ as well as for the…

高能物理 - 唯象学 · 物理学 2018-02-01 J. Ablinger , J. Blümlein , A. De Freitas , C. Schneider , K. Schönwald

We calculate moments of the $O(\alpha_s^3)$ heavy flavor contributions to the Wilson coefficients of the structure function $F_2(x,Q^2)$ in the region $Q^2\gg m^2$. The massive Wilson coefficients are obtained as convolutions of massive…

高能物理 - 唯象学 · 物理学 2009-07-16 I. Bierenbaum , J. Blümlein , S. Klein

We report on recent results obtained for the 3-loop heavy flavor Wilson coefficients in deep-inelastic scattering (DIS) at general values of the Mellin variable $N$ at larger scales of $Q^2$. These concern contributions to the gluonic…

高能物理 - 唯象学 · 物理学 2013-01-03 J. Ablinger , J. Blümlein , A. De Freitas , A. Hasselhuhn , S. Klein , C. Schneider , F. Wißbrock

We calculate the two- and three-loop massive operator matrix elements (OMEs) contributing to the heavy flavor Wilson coefficients of transversity. We obtain the complete result for the two-loop OMEs and compute the first thirteen Mellin…

高能物理 - 唯象学 · 物理学 2010-01-15 J. Blümlein , S. Klein , B. Tödtli

We calculate the leptonic ${\cal O}(\alpha^2 L)$ corrections for unpolarized deeply inelastic ep scattering using mixed variables.

高能物理 - 唯象学 · 物理学 2009-11-07 Johannes Blümlein , Hiroyuki Kawamura

We study the production of polarized $\Lambda$ hyperon in semi-inclusive deep inelastic scattering off an unpolarized target. We include the cases in which the $\Lambda$ hyperon is longitudinally polarized or transversely polarized, and in…

高能物理 - 唯象学 · 物理学 2017-04-26 Yongliang Yang , Zhun Lu

The three-loop vacuum polarization function $\Pi(q^2)$ induced by a massive quark is calculated. A comprehensive description of the method is presented. From the imaginary part the ${\cal O}(\alpha_s^2)$ result for the production of heavy…

高能物理 - 唯象学 · 物理学 2009-10-28 K. G. Chetyrkin , J. H. Kuehn , M. Steinhauser

We calculate the massless unpolarized Wilson coefficients for deeply inelastic scattering for the structure functions $F_2(x,Q^2), F_L(x,Q^2), x F_3(x,Q^2)$ in the $\overline{\sf MS}$ scheme and the polarized Wilson coefficients of the…

高能物理 - 唯象学 · 物理学 2022-12-14 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We perform the analytic calculation of the Mellin moments of the structure functions F_2 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the anomalous…

高能物理 - 唯象学 · 物理学 2009-10-31 S. Moch , J. A. M. Vermaseren

We discuss recent (semi) analytic results for $2\to 2$ processes with massive internal and external particles in various regions of phase space. In the physical applications we restrict ourselves to $gg\to HH$.

高能物理 - 唯象学 · 物理学 2023-09-26 Matthias Steinhauser

Future high luminosity polarized deep--inelastic scattering experiments will improve both the knowledge of the spin sub--structure of the nucleons and contribute further to the precision determination of the strong coupling constant, as…

高能物理 - 唯象学 · 物理学 2022-02-16 J. Blümlein , P. Marquard , C. Schneider , K. Schönwald

We present quantitative results on the single-mass heavy-flavor contributions in the region of large virtualities $Q^2$ up to three-loop order to the unpolarized structure function $F_2(x,Q^2)$ and the polarized structure function…

高能物理 - 唯象学 · 物理学 2026-01-21 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

Most functional materials possess one single outstanding property and are limited to be used for a particular purpose. Instead of integrating materials with different functions into one module, designing materials with controllable…

材料科学 · 物理学 2024-12-10 Pingwei Liu , Dan Liu , Shixin Song , Kang Li , Xueyong Yuan , Jie Guan

The leptonic QED radiative corrections are calculated in the next-to-leading log approximation ${\cal O}[\alpha^2 \ln(Q^2/m_e^2)]$ for unpolarized deeply inelastic $ep$--scattering in the case of mixed variables. The corrections are…

高能物理 - 唯象学 · 物理学 2010-04-05 J. Blümlein , H. Kawamura

We derive semi--analytic expressions for the analytic continuation of the Mellin transforms of the heavy flavor QCD coefficient functions for neutral current deep inelastic scattering in leading and next-to-leading order to complex values…

高能物理 - 唯象学 · 物理学 2010-04-05 Sergey I. Alekhin , Johannes Blümlein

We describe the twist-2 contributions to inclusive unpolarized and polarized deep-inelastic diffractive scattering in an operator approach. The representation refers to the observed large rapidity gap but does not require reference to a…

高能物理 - 唯象学 · 物理学 2007-06-19 J. Blümlein , B. Geyer , D. Robaschik

In this Letter we report the first calculation of all ${\cal O}(\alpha_s)$ medium-induced branching processes to any order in opacity. Our splitting functions results are presented as iterative solutions to matrix equations with initial…

高能物理 - 唯象学 · 物理学 2019-06-19 Matthew D. Sievert , Ivan Vitev , Boram Yoon

We use the large N_f self consistency formalism to compute the $O(1/N_f)$ critical exponent corresponding to the renormalization of the flavour non-singlet twist two Wilson operators which arise in the operator product expansion of currents…

高能物理 - 唯象学 · 物理学 2009-10-28 J. A. Gracey

We study strictly hyperbolic partial differential operators of second order with non-smooth coefficients. After modelling them as semiclassical Colombeau equations of log-type we provide a factorization procedure on some…

偏微分方程分析 · 数学 2011-12-26 Martina Glogowatz