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Related papers: The Three-Loop Splitting Functions in QCD: The Non…

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We calculate the beam function for longitudinally-polarized quarks through next-to-next-to-leading order (NNLO) in QCD perturbation theory. This is the last missing ingredient needed to apply the factorization theorem for the $N$-jettiness…

High Energy Physics - Phenomenology · Physics 2017-08-09 Radja Boughezal , Frank Petriello , Ulrich Schubert , Hongxi Xing

We compute the Next-to-Next-to-Leading Order (NNLO) QCD corrections to the partonic reaction that dominates top-pair production at the Tevatron. This is the first ever NNLO calculation of an observable with more than two colored partons,…

High Energy Physics - Phenomenology · Physics 2013-05-30 Peter Baernreuther , Michal Czakon , Alexander Mitov

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 the first next-to-next-to-next-to-leading order (N$^3$LO) calculation of the twist-2 matching coefficients for transverse momentum dependent (TMD) quark transversity parton distribution and fragmentation functions in QCD. This…

High Energy Physics - Phenomenology · Physics 2026-02-03 Yu Jiao Zhu

In this work we calculate for the first time the next-to-next-to leading order (NNLO) QCD corrections to identified hadron production at hadron colliders. The inclusion of the NNLO correction has an important impact on all observables…

High Energy Physics - Phenomenology · Physics 2025-10-23 Michał Czakon , Terry Generet , Alexander Mitov , Rene Poncelet

In this paper, we calculated the branching ratios and direct CP violation of the four $B\to K\pi$ decays with the inclusion of all currently known next-to-leading order (NLO) contributions by employing the perturbative QCD (pQCD)…

High Energy Physics - Phenomenology · Physics 2014-08-19 Wei Bai , Min Liu , Ying-Ying Fan , Wen-Fei Wang , Shan Cheng , Zhen-Jun Xiao

At the end of 2016, we computed the five-loop (N$^4$LO) contributions to the beta function in perturbative Quantum Chromodynamics (QCD), its generalization to non-Abelian gauge theories with a simple compact Lie group, and for Quantum…

High Energy Physics - Phenomenology · Physics 2025-10-31 F. Herzog , B. Ruijl , T. Ueda , J. Vermaseren , A. Vogt

We study the triply heavy baryons $\Omega_{QQQ}$ $(Q=c, b)$ in the QCD sum rules by performing the first calculation of the next-to-leading order (NLO) contribution to the perturbative QCD part of the correlation functions. Compared with…

High Energy Physics - Phenomenology · Physics 2021-08-11 Ren-Hua Wu , Yu-Sheng Zuo , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao

Using configuration space techniques, we calculate next-to-leading order (NLO) five-loop QCD corrections to the correlators of interpolating pentaquark currents in the limit of massless quarks. We obtain very large NLO corrections to the…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. Groote , J. G. Körner , A. A. Pivovarov

For precision studies with QCD observables at colliders, higher order perturbative corrections are often mandatory. For exclusive observables, like jet cross sections or differential distributions, these corrections were until recently only…

High Energy Physics - Phenomenology · Physics 2008-12-30 T. Gehrmann

The aim of this paper is to introduce a general way to stabilize the perturbative QCD computations of heavy quarkonium production in the boosted or high-momentum transferring region with tree-level generators only. Such an approach is…

High Energy Physics - Phenomenology · Physics 2019-01-17 Hua-Sheng Shao

Based on the framework of nonrelativistic Quantum Chromodynamics (NRQCD), we carry out next-to-leading order (NLO) QCD corrections to the decay of $Z$ boson into $\chi_c$ and $\chi_b$, respectively. The branching ratio of $Z \to…

High Energy Physics - Phenomenology · Physics 2019-05-15 Zhan Sun , Hong-Fei Zhang

We study the evolution of the flavour non-singlet deep-inelastic structure functions F_{2,NS} and F_3 at the next-to-next-to-next-to-leading order (N^3LO) of massless perturbative QCD. The present information on the corresponding three-loop…

High Energy Physics - Phenomenology · Physics 2009-11-07 W. L. van Neerven , A. Vogt

The next-to-leading order (NLO) ($\mathcal{O}(\alpha_s^3)$) corrections for gluon fragmentation functions to a heavy quark-antiquark pair in ${^{3}\hspace{-0.6mm}P_{J}^{[1,8]}}$ states are calculated within the NRQCD factorization. We use…

High Energy Physics - Phenomenology · Physics 2020-11-11 Peng Zhang , Ce Meng , Yan-Qing Ma , Kuang-Ta Chao

We perform the analysis of the existing inclusive deep inelastic scattering (DIS) data within NNLO QCD approximation. The parton distributions functions (PDFs) and the value of strong coupling constant $\alpha_{s}(M_Z)=0.1143\pm0.0013…

High Energy Physics - Phenomenology · Physics 2015-06-25 Alekhin Sergey

We determine the next-to-leading order dispersion laws for slow-moving quarks in hard-thermal-loop perturbation of high-temperature QCD where weak coupling is assumed. Real-time formalism is used. The next-to-leading order quark self-energy…

High Energy Physics - Phenomenology · Physics 2015-03-19 Abdessamad Abada , Karima Benchallal , Karima Bouakaz

By employing the perturbative QCD (PQCD) factorization approach, we calculated the branching ratios, CP-violating asymmetries, the longitudinal and transverse polarization fractions and other physical observables of the thirteen charmless…

High Energy Physics - Phenomenology · Physics 2018-09-26 Da-Cheng Yan , Xin Liu , Zhen-Jun Xiao

We discuss recent results on the three-loop (next-to-next-to-leading order, NNLO) time-like splitting functions of QCD and the two-loop (NNLO) coefficient functions in one-particle inclusive e+e- annihilation. These results form the basis…

High Energy Physics - Phenomenology · Physics 2009-11-11 A. Mitov , S. Moch , A. Vogt

Within the framework of non-relativistic QCD (NRQCD) factorization, we compute the matching coefficients between full Quantum Chromodynamics (QCD) and NRQCD for the heavy flavor-changing vector, axial-vector, scalar and pseudo-scalar…

High Energy Physics - Phenomenology · Physics 2023-06-14 Wei Tao , Zhen-Jun Xiao , Ruilin Zhu

The calculations for the production of heavy quarks in deeply inelastic scattering (DIS) can be seen as an illustrative example in the framework of perturbative Quantum Chromo Dynamics (pQCD). In this thesis, I give an overview of all steps…

High Energy Physics - Phenomenology · Physics 2020-05-18 Felix Hekhorn