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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

This thesis is concerned with the calculation of fixed moments of the O(a_s^3) heavy flavor contributions to the Wilson coefficients of the structure function F_2(x,Q^2) in the limit Q^2 >> m^2, neglecting power corrections. The massive…

高能物理 - 唯象学 · 物理学 2009-10-19 Sebastian Klein

We calculate the $O(\alpha_s^3)$ heavy flavor contributions to the Wilson coefficients of the structure function $F_2(x,Q^2)$ and the massive operator matrix elements (OMEs) for the twist--2 operators of unpolarized deeply inelastic…

高能物理 - 唯象学 · 物理学 2009-07-22 Isabella Bierenbaum , Johannes Blümlein , Sebastian Klein

We report on results for the heavy flavor contributions to $F_2(x,Q^2)$ in the limit $Q^2\gg m^2$ at {\sf NNLO}. By calculating the massive $3$--loop operator matrix elements, we account for all but the power suppressed terms in $m^2/Q^2$.…

高能物理 - 唯象学 · 物理学 2016-08-14 J. Ablinger , I. Bierenbaum , J. Blümlein , A. Hasselhuhhn , S. Klein , C. Schneider , F. Wißbrock

In deep-inelastic processes the heavy flavor Wilson coefficients factorize for $Q^2 \gg m^2$ into the light flavor Wilson coefficients of the corresponding process and the massive operator matrix elements (OMEs). We calculate the…

高能物理 - 唯象学 · 物理学 2009-11-30 J. Blümlein , S. Klein , B. Tödtli

We report on recent results obtained for the massive Wilson coefficients which contribute to the structure function $F_2(x,Q^2)$ at $O(\alpha_s^3)$ in the region $Q^2/m^2 \gsim 10$. In the calculation new species of harmonic sums and…

高能物理 - 唯象学 · 物理学 2012-02-14 J. Ablinger , J. Blümlein , 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 massive Wilson coefficients for the heavy flavor contributions to the non-singlet charged current deep-inelastic scattering structure function $xF_3^{W^+}(x,Q^2)+xF_3^{W^-}(x,Q^2)$ in the asymptotic region $Q^2 \gg m^2$ to…

高能物理 - 唯象学 · 物理学 2016-01-20 A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , C. Schneider

We calculate the $O(\alpha_s^2)$ massive operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2 \gg m^2$, up to the…

高能物理 - 唯象学 · 物理学 2008-11-26 Isabella Bierenbaum , Johannes Blümlein , Sebastian Klein , Carsten Schneider

We calculate the $O(\alpha_s^2)$ massive operator matrix elements for the twist--2 operators, which contribute to the heavy flavor Wilson coefficients in unpolarized deeply inelastic scattering in the region $Q^2 \gg m^2$. The calculation…

高能物理 - 唯象学 · 物理学 2008-11-26 Isabella Bierenbaum , Johannes Blümlein , Sebastian Klein

The contributions $\propto n_f$ to the $O(\alpha_s^3)$ massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit $Q^2 \gg m^2$ are computed for the structure function $F_2(x,Q^2)$ and transversity for…

高能物理 - 唯象学 · 物理学 2016-08-14 J. Ablinger , J. Blümlein , S. Klein , C. Schneider , F. Wißbrock

The logarithmic contributions to the massive twist-2 operator matrix elements for deep-inelastic scattering are calculated to $O(\alpha_s^3)$for general values of the Mellin variable $N$.

高能物理 - 唯象学 · 物理学 2010-11-19 I. Bierenbaum , J. Blümlein , S. Klein

The massive 3-loop fermion-loop corrections $\propto C_A N_f T_F^2$ and $C_F N_f T_F^2$ to the massive operator matrix elements $A_{Qg}$, $A_{Qq}^{\rm{PS}}$, $A_{qq,Q}^{\rm{PS}}$, $A_{qq,Q}^{\rm{NS}}$ and $A_{qq,Q}^{\rm{NS,TR}} have been…

高能物理 - 唯象学 · 物理学 2010-10-21 Fabian Wissbrock

We calculate the logarithmic contributions to the massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in the fixed-flavor number scheme and present the corresponding expressions…

高能物理 - 唯象学 · 物理学 2015-06-19 A. Behring , I. Bierenbaum , J. Blümlein , A. De Freitas , S. Klein , F. Wißbrock

In the asymptotic limit $Q^2 \gg m^2$, the heavy flavor Wilson coefficients for deep--inelastic scattering factorize into the massless Wilson coefficients and the universal heavy flavor operator matrix elements resulting from light--cone…

高能物理 - 唯象学 · 物理学 2008-12-18 I. Bierenbaum , J. Blümlein , S. Klein

The $O(\alpha_s^3)$ contributions to the heavy flavor Wilson coefficients for the structure function $F_L(x,Q^2)$ are calculated in the region $Q^2 \gg m^2$ using the renormalization group method.

高能物理 - 唯象学 · 物理学 2010-05-19 J. Blümlein

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

The logarithmic and constant contributions to the Wilson coefficient of the longitudinal heavy quark structure function to $O(\alpha_s^3)$ are calculated using mass factorization techniques in Mellin space. The small $x$ behaviour of the…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Blümlein , A. De Freitas , W. L. van Neerven , S. Klein

We calculate the quarkonic $O(\alpha_s^2)$ massive operator matrix elements $\Delta A_{Qg}(N), \Delta A_{Qq}^{\rm PS}(N)$ and $\Delta A_{qq,Q}^{\rm NS}(N)$ for the twist--2 operators and the associated heavy flavor Wilson coefficients in…

高能物理 - 唯象学 · 物理学 2023-02-15 I. Bierenbaum , J. Blümlein , A. De Freitas , A. Goedicke , S. Klein , K. Schönwald

We calculate the Mellin moments of the $O(\alpha_s^2)$ coefficient functions for the unpolarized and polarized fragmentation functions. They can be expressed in terms of multiple finite harmonic sums of maximal weight {\sf w = 4}. Using…

高能物理 - 唯象学 · 物理学 2008-11-26 J. Blümlein , V. Ravindran
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