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Related papers: 3-loop heavy flavor Wilson coefficients in deep-in…

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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…

High Energy Physics - Phenomenology · Physics 2009-10-19 Sebastian Klein

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…

High Energy Physics - Phenomenology · Physics 2009-11-07 J. A. M. Vermaseren , S. Moch , A. Vogt

A QCD analysis of the world data on polarized deep inelastic scattering is presented in next--to--leading order, including the heavy flavor Wilson coefficient in leading order in the fixed flavor number scheme. New parameterizations are…

High Energy Physics - Phenomenology · Physics 2014-11-21 Johannes Blümlein , Helmut Böttcher

We compute the full three-loop coefficient functions for the structure functions F_2 and F_L in massless perturbative QCD. The results for F_L complete the next-to-next-to-leading order description of unpolarized electromagnetic…

High Energy Physics - Phenomenology · Physics 2008-11-26 J. A. M. Vermaseren , A. Vogt , S. Moch

We report on the three-loop unpolarized and polarized massive operator matrix elements, with single- and two-mass corrections, and the associated deep-inelastic massive Wilson coefficients in the region $Q^2 \gg m_Q^2$, the calculation of…

High Energy Physics - Phenomenology · Physics 2026-02-12 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

We compute the coefficient functions for heavy-quark initiated charged-current deep-inelastic scattering through $\mathcal{O}(\alpha_s^2)$, retaining full mass dependence for a single heavy-quark flavor. The calculation employs a cut-based…

High Energy Physics - Phenomenology · Physics 2026-01-07 Kirill Kudashkin

With the increasing experimental precision available at colliders, higher-order perturbative calculations are required to reduce the theory uncertainty in order to extract crucial QCD parameters, such as the strong coupling constant, to the…

High Energy Physics - Phenomenology · Physics 2022-08-15 Marco Saragnese

We provide a fast and precise Mellin-space implementation of the $O(\alpha_s)$ heavy flavor Wilson coefficients for charged current deep inelastic scattering processes. They are of importance for the extraction of the strange quark…

High Energy Physics - Phenomenology · Physics 2015-03-19 J. Blümlein , A. Hasselhuhn , P. Kovacikova , S. Moch

We have calculated the n_f^2 and n_f^3 contributions to the flavour non-singlet structure functions F_2 and F_L in inclusive deep-inelastic scattering at the fourth order in the strong coupling alpha_s. The coefficient functions have been…

High Energy Physics - Phenomenology · Physics 2023-04-12 A. Basdew-Sharma , A. Pelloni , Franz Herzog , A. Vogt

We report on recent results on the two-mass corrections for massive operator matrix elements at 2- and 3-loop orders in QCD. These corrections form the building blocks of the variable flavor number scheme. Due to the similar values of the…

High Energy Physics - Phenomenology · Physics 2018-07-23 J. Ablinger , J. Blümlein , A. De Freitas , A. Goedicke , C. Schneider , K. Schönwald

The behaviour of the quark coefficient functions in deep-inelastic scattering is investigated for large values of the Bjorken variable x. By combining results of soft-gluon resummation and fixed-order calculations, we determine the…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Vogt

The heavy quark effects in deep--inelastic scattering in the asymptotic regime $Q^2 \gg m^2$ can be described by heavy flavor operator matrix elements. Complete analytic expressions for these objects are currently known to ${\sf NLO}$. We…

High Energy Physics - Phenomenology · Physics 2009-06-25 I. Bierenbaum , J. Blümlein , S. Klein

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…

High Energy Physics - Phenomenology · Physics 2010-01-15 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…

High Energy Physics - Phenomenology · Physics 2012-02-14 J. Ablinger , J. Blümlein , A. Hasselhuhn , S. Klein , C. Schneider , F. Wißbrock

We compute the fermionic (n_f) contributions to the flavour non-singlet structure functions in unpolarized electromagnetic deep-inelastic scattering at third order of massless perturbative QCD. Complete results are presented for the…

High Energy Physics - Phenomenology · Physics 2010-04-05 S. Moch , J. A. M. Vermaseren , A. Vogt

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…

High Energy Physics - Phenomenology · Physics 2019-10-23 J. Blümlein , C. G. Raab , K. Schönwald

We compute the two-mass contributions to the polarized massive operator matrix element $A_{gg,Q}^{(3)}$ at third order in the strong coupling constant $\alpha_s$ in Quantum Chromodynamics analytically. These corrections are important…

High Energy Physics - Phenomenology · Physics 2020-05-27 J. Ablinger , J. Blümlein , A. De Freitas , A. Goedicke , M. Saragnese , C. Schneider , K. Schönwald

We report on a recently completed, first calculation of the full next-to-leading order QCD corrections for heavy flavor contributions to the inclusive structure function $g_1$ in longitudinally polarized deep-inelastic scattering. All…

High Energy Physics - Phenomenology · Physics 2018-12-03 Felix Hekhorn , Marco Stratmann

We calculate the $O(\alpha_s^2)$ gluonic 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 linear…

High Energy Physics - Phenomenology · Physics 2009-11-19 I. Bierenbaum , J. Blümlein , S. Klein

We provide a first calculation of the complete next-to-leading order QCD corrections for heavy flavor contributions to the inclusive structure function $g_1$ in longitudinally polarized deep-inelastic scattering. The results are derived…

High Energy Physics - Phenomenology · Physics 2021-05-31 Felix Hekhorn , Marco Stratmann