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We give a short review of our recent analysis [1] of the deep inelastic scattering data (provided by BCDMS, SLAC, NMC) on F2 structure function in the non-singlet approximation with up to next-to-next-to-leading-order accuracy and analytic…

High Energy Physics - Phenomenology · Physics 2011-09-08 A. V. Kotikov , V. G. Krivokhizhin , B. G. Shaikhatdenov

In this work we derive three sets of non-perturbative fragmentation functions, with uncertainties, for $B$-hadrons, $J/\psi$'s and muons resulting from semileptonic $B$ decays. All three sets are with next-to-next-to leading order accuracy…

High Energy Physics - Phenomenology · Physics 2023-04-04 Michał Czakon , Terry Generet , Alexander Mitov , Rene Poncelet

We present the full next-to-next-to-leading order (NNLO) coefficient functions for the polarized cross section $d\Delta \sigma/dQ$ for the Drell-Yan process $p + p\to l^+l^- + 'X'$. Here $'X'$ denotes any inclusive hadronic state and $Q$…

High Energy Physics - Phenomenology · Physics 2010-04-05 V. Ravindran , J. Smith , W. L. van Neerven

We present a study of the inclusive charmless semileptonic $b$ decay, $b\to X_u\ell\bar{\nu}$ at next-to-next-to-leading order (NNLO) in perturbative QCD, with the primary aim of extracting the hadronic structure functions $W_i$ at NNLO.…

High Energy Physics - Phenomenology · Physics 2026-01-23 A. Broggio , B. Capdevila , A. Ferroglia , P. Gambino

We calculate the next-to-leading order fully unintegrated hard scattering coefficient for unpolarized gluon-induced deep inelastic scattering using the logical framework of parton correlation functions developed in previous work. In our…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ted C. Rogers

We calculate the time-like pion electromagnetic form factor in the $k_T$ factorization formalism with the inclusion of the next-to-leading-order(NLO) corrections to the leading-twist and sub-leading-twist contributions. It's found that the…

High Energy Physics - Phenomenology · Physics 2015-08-03 Shan Cheng , Zhen-Jun Xiao

In this talk we examine how one-loop soft and collinear splitting functions occur in the calculation of next-to-next-to-leading order (NNLO) corrections to production rates, and we present the one-loop gluon soft and splitting functions,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zvi Bern , Vittorio Del Duca , William B. Kilgore , Carl R. Schmidt

We present a set of formulas to extract the longitudinal structure function from the proton structure function and its derivatives with respect to lnQ2 in the next-to-next-to-leading order of the perturbative theory at low x based on a hard…

High Energy Physics - Phenomenology · Physics 2020-10-20 B. Rezaei , G. R. Boroun

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…

High Energy Physics - Phenomenology · Physics 2026-01-21 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

First results of a non--singlet QCD analysis of the structure function $F_2(x,Q^2)$ in 3--loop order based on the non--singlet world data are presented. Correlated errors are determined and their propagation through the evolution equations…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. Blümlein , H. Böttcher , A. Guffanti

We determine approximate next-to-next-to-leading order (NNLO) corrections to unpolarized and polarized semi-inclusive DIS. They are derived using the threshold resummation formalism, which we fully develop to next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2022-03-16 Maurizio Abele , Daniel de Florian , Werner Vogelsang

We present next-to-leading-order (NLO) calculations of heavy-quark contributions to deep-inelastic scattering (DIS) structure functions $F_4$ and $F_5$ within the Aivazis--Collins--Olness--Tung (ACOT) scheme, implemented in the open source…

High Energy Physics - Phenomenology · Physics 2025-12-09 Edoardo Spezzano , Tomas Jezo , Michael Klasen , Peter Risse , Ingo Schienbein

Using the results for the NNLO QCD corrections to anomalous dimensions of odd $xF_3$ Mellin moments and N$^3$LO corrections to their coefficient functions we improve our previous analysis of the CCFR'97 data for $xF_3$. The possibility of…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. L. Kataev , G. Parente , A. V. Sidorov

We study the matching of the next-to-leading logarithmic approximation (NLLA) onto the fixed next-to-next-to-leading order (NNLO) calculation for event shape distributions in electron-positron annihilation. The resulting theoretical…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Gehrmann , G. Luisoni , H. Stenzel

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 unpolarized transverse momentum dependent fragmentation function (TMDFF) at next-to-next-to-leading order (NNLO), evaluating separately TMD soft factor and TMD collinear correlator. For the first time the cancellation of…

High Energy Physics - Phenomenology · Physics 2016-10-26 Miguel G. Echevarria , Ignazio Scimemi , Alexey Vladimirov

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

Within the framework of a high-twist approach, we calculate the next-to-leading order (NLO) perturbative QCD corrections to the transverse momentum broadening in semi-inclusive hadron production in deeply inelastic $e+A$ collisions, as well…

High Energy Physics - Phenomenology · Physics 2014-03-19 Zhong-Bo Kang , Enke Wang , Xin-Nian Wang , Hongxi Xing

We present results for the structure function F_L for a gluon target having nonzero transverse momentum square at order \alpha_s. The results of double convolution (with respect to Bjorken variable x and the transverse momentum) of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. V. Kotikov , A. V. Lipatov , N. P. Zotov

We investigate the unpolarized virtual photon structure functions $F_2^gamma(x,Q^2,P^2)$ and $F_L^gamma(x,Q^2,P^2)$ in perturbative QCD for the kinematical region $Lambda^2 ll P^2 ll Q^2$, where $-Q^2(-P^2)$ is the mass squared of the probe…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Ueda , K. Sasaki , T. Uematsu