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In this paper we present the analytic form of the heavy-quark coefficient functions for deep-inelastic lepton-hadron scattering in the kinematical regime $Q^2 \gg m^2$ . Here $Q^2$ and $m^2$ stand for the masses squared of the virtual…

High Energy Physics - Phenomenology · Physics 2010-04-06 M. Buza , Y. Matiounine , J. Smith , R. Migneron , W. L. van Neerven

We calculate the $O(\alpha_s^2)$ heavy flavor corrections to charged current deep-inelastic scattering at large scales $Q^2 \gg m^2$. The contributing Wilson coefficient are given as convolutions between massive operator matrix elements and…

High Energy Physics - Phenomenology · Physics 2014-02-21 Johannes Blümlein , Alexander Hasselhuhn , Torsten Pfoh

Using renormalization group techniques we have derived analytic formulae for the next-to-leading order heavy-quark coefficient functions in deep inelastic lepton hadron scattering. These formulae are only valid in the kinematic regime Q^2…

High Energy Physics - Phenomenology · Physics 2015-06-25 W. L. van Neerven , M. Buza , Y. Matiounine , J. Smith , R. Migneron

We present a systematic QCD analysis of the strange--charm and bottom--top contributions to transverse and longitudinal structure functions in charged--current deep inelastic scattering. Various ${\cal O}(\alpha_s^1)$ schemes are studied…

High Energy Physics - Phenomenology · Physics 2009-10-28 Vincenzo Barone , Marco Genovese

There are presently two approaches to calculating heavy quark production for the deeply inelastic scattering process in current literature. The conventional fixed-flavor scheme focuses on the flavor creation mechanism and includes the heavy…

High Energy Physics - Phenomenology · Physics 2007-05-23 Pankaj Agrawal , Fredrick I. Olness , Stephan T. Riemersma , Wu-Ki Tung

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

The approximate SACOT-$\chi$ scheme for heavy quark production in deep-inelastic scattering was initially formulated for the neutral current structure functions $F_2$ and $F_L$. We extend this approach to the charged current case (also…

High Energy Physics - Phenomenology · Physics 2025-12-10 Peter Risse , Valerio Bertone , Tomas Ježo , Karol Kovařík , Aleksander Kusina , Fredrick Olness , Ingo Schienbein

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 $Q^2$ limit, where the heavy flavor Wilson coefficients are known to factorize into light…

High Energy Physics - Phenomenology · Physics 2014-09-08 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , C. Raab , M. Round , S. Schneider , F. Wißbrock

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…

High Energy Physics - Phenomenology · Physics 2016-01-20 A. Behring , J. Blümlein , A. De Freitas , A. Hasselhuhn , A. von Manteuffel , C. Schneider

We present O(alpha_s^1) corrections to deep inelastic scattering amplitudes on massive quarks obtained within the scheme of Aivazis, Collins, Olness and Tung (ACOT). After identifying the correct subtraction term the convergence of these…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Kretzer , I. Schienbein

This study explores the heavy-quark contributions to polarized structure functions in deep-inelastic scattering at next-to-leading order. The structure functions $g_1$, $g_4$, $g_5$, $g_6$, and $g_7$ are computed, while $g_2$ and $g_3$ are…

High Energy Physics - Phenomenology · Physics 2026-03-12 Edoardo Spezzano , Tomas Jezo , Michael Klasen , Ingo Schienbein

We investigate a simplified version of the ACOT prescription for calculating deeply inelastic scattering from Q^2 values near the squared mass M_H^2 of a heavy quark to Q^2 much larger than M_H^2.

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael Krämer , Fredrick I. Olness , Davison E. Soper

We present details on calculation of next-to-next-to-leading order QCD corrections to massive charged-current coefficient functions in deep-inelastic scattering. Especially we focus on the application to charm-quark production in neutrino…

High Energy Physics - Phenomenology · Physics 2018-03-28 Jun Gao

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 $N$.

High Energy Physics - Phenomenology · Physics 2010-11-19 I. Bierenbaum , J. Blümlein , S. Klein

We present a first calculation of the heavy flavor contribution to the longitudinally polarized deep-inelastic scattering structure function $g_1^{Q}$, differential in the transverse momentum or the rapidity of the observed heavy quark $Q$…

High Energy Physics - Phenomenology · Physics 2021-08-04 Felix Hekhorn , Marco Stratmann

We compute Mellin moments of the heavy-quark structure functions in deep-inelastic scattering at next-to-leading order in quantum chromodynamics, retaining their full dependence on the heavy-quark mass. Using the optical theorem and the…

High Energy Physics - Phenomenology · Physics 2026-02-06 Marco Klann , Sven-Olaf Moch , Kay Schönwald

We consider a detailed account on the construction of the heavy-quark parton distribution functions for charm and bottom, starting from $n_f=3$ light flavors in the fixed-flavor number (FFN) scheme and by using the standard decoupling…

High Energy Physics - Phenomenology · Physics 2020-09-23 S. Alekhin , J. Bluemlein , S. Moch

We compute the contributions of heavy quarks to the deep-inelastic scattering structure functions $F_4$ and $F_5$ at next-to-leading order of perturbative QCD in the ACOT scheme. Both analytic results including the details of the…

High Energy Physics - Phenomenology · Physics 2025-12-15 Edoardo Spezzano , Tomas Jezo , Michael Klasen , Peter Risse , Ingo Schienbein

In the asymptotic limit $Q^2 \gg m^2$, the non-power corrections to the heavy flavour Wilson coefficients in deep--inelastic scattering are given in terms of massless Wilson coeffcients and massive operator matrix elements. We start…

High Energy Physics - Phenomenology · Physics 2008-12-19 I. Bierenbaum , J. Blümlein , S. Klein

The 3-loop heavy flavor corrections to deep-inelastic scattering are essential for consistent next-to-next-to-leading order QCD analyses. We report on the present status of the calculation of these corrections at large virtualities $Q^2$.…

High Energy Physics - Phenomenology · Physics 2014-11-21 J. Blümlein , A. De Freitas , C. Schneider
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