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Related papers: DGLAP evolution at N$^3$LO with the $\texttt{Candi…

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We have calculated the splitting functions governing the evolution of the unpolarized parton distributions of the photon at the next-to-next-to-leading order (NNLO) of massless perturbative QCD. The results, presented here mainly in terms…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Vogt , S. Moch , J. Vermaseren

We compute the next-to-next-to-leading order (NNLO) QCD corrections to event shape distributions and their mean values in deep inelastic lepton-nucleon scattering. The magnitude and shape of the corrections varies considerably between…

High Energy Physics - Phenomenology · Physics 2019-09-09 T. Gehrmann , A. Huss , J. Mo , J. Niehues

We present the calculation of next-to-next-to-leading-order (NNLO) QCD corrections to hadron multiplicities in light-quark jets at lepton colliders, employing the ``projection-to-Born" (P2B) method implemented in the FMNLO program. Taking…

High Energy Physics - Phenomenology · Physics 2025-10-29 Bin Zhou , Jun Gao

We propose to modify the saturation model of Golec-Biernat and Wusthoff by including DGLAP evolution. We find considerable improvement for the total deep inelastic cross section, in particular in the large Q^2 region. The successful…

High Energy Physics - Phenomenology · Physics 2010-03-25 J. Bartels , K. Golec-Biernat , H. Kowalski

This thesis studies gluon saturation in hadronic matter at high energy by calculating next-to-leading order (NLO) corrections to inclusive and diffractive deep inelastic scattering cross sections in the Color Glass Condensate (CGC)…

High Energy Physics - Phenomenology · Physics 2021-12-17 H. Hänninen

DGLAP evolution equations are modified in order to use all the quark families in the full scale range, satisfying kinematical constraints and sumrules, thus having complete continuity for the pdfs and observables. Some consequences of this…

High Energy Physics - Phenomenology · Physics 2011-11-15 C. Pascaud

An exact expression for the leading-order (LO) gluon distribution function $G(x,Q^2)=xg(x,Q^2)$ from the DGLAP evolution equation for the proton structure function $F_2^{\gamma p}(x,Q^2)$ for deep inelastic $\gamma^* p$ scattering has…

High Energy Physics - Phenomenology · Physics 2010-01-06 Martin M. Block

We present the results of our QCD analysis for non-singlet unpolarized quark distributions and structure function $F_2(x,Q^2)$ up to N$^3$LO. In this regards 4-loop anomalous dimension can be obtain from the Pad\'e approximations. The…

High Energy Physics - Phenomenology · Physics 2010-02-03 Ali N. Khorramian , H. Khanpour , S. Atashbar Tehrani

We present next-to-next-to-next-to-leading order (N$^3$LO) QCD predictions for the Higgs boson pair production via gluon fusion at hadron colliders in the infinite top-quark mass limit. Besides the inclusive total cross sections at various…

High Energy Physics - Phenomenology · Physics 2020-03-03 Long-Bin Chen , Hai Tao Li , Hua-Sheng Shao , Jian Wang

Using the potential non-relativistic quantum chromodynamics (pNRQCD) effective field theory, we derive a Lindblad equation for the evolution of the heavy-quarkonium reduced density matrix that is accurate to next-to-leading order (NLO) in…

High Energy Physics - Phenomenology · Physics 2025-11-25 Nora Brambilla , Miguel Ángel Escobedo , Ajaharul Islam , Michael Strickland , Anurag Tiwari , Antonio Vairo , Peter Vander Griend

Measurements of Deep Inelastic Scattering (DIS) provide a powerful tool to probe the fundamental structure of protons and other nuclei. The DIS cross sections can be expressed in terms of structure functions which are conventionally…

High Energy Physics - Phenomenology · Physics 2023-07-06 Tuomas Lappi , Heikki Mäntysaari , Hannu Paukkunen , Mirja Tevio

We perform fits of $\Lambda_{\rm QCD}$ and the gluon fragmentation function $D(x,Q)$ at initial scale $Q_0 \gg\Lambda_{\rm QCD}$ to charged light hadron momentum spectra data by evolving in the Modified Leading Logarithm Approximation.…

High Energy Physics - Phenomenology · Physics 2009-11-10 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

The QCDNUM program numerically solves the evolution equations for parton densities and fragmentation functions in perturbative QCD. Un-polarised parton densities can be evolved up to next-to-next-to-leading order in powers of the strong…

High Energy Physics - Phenomenology · Physics 2010-11-23 M. Botje

We determine the parton distribution functions (PDFs) in a next-to-next-to-leading order (NNLO) QCD-analysis of the inclusive neutral-current deep-inelastic-scattering (DIS) world data combined with the neutri{-}no-nucleon DIS di-muon data…

High Energy Physics - Phenomenology · Physics 2010-05-25 S. Alekhin , J. Blümlein , S. Klein , S. Moch

We present sets of parton distribution functions (PDFs), based on the NNPDF3.0 family, which include the photon PDF from the NNPDF2.3QED sets, and leading-order QED contributions to the DGLAP evolution as implemented in the public code…

High Energy Physics - Phenomenology · Physics 2016-06-29 V. Bertone , S. Carrazza

We present fully differential predictions for the production cross section of a Higgs boson via the gluon fusion mechanism at next-to-next-to-next-to leading order (N$^3$LO) in QCD perturbation theory. To perform our calculation we apply…

High Energy Physics - Phenomenology · Physics 2021-08-18 X. Chen , T. Gehrmann , E. W. N. Glover , A. Huss , B. Mistlberger , A. Pelloni

I review progress related to the calculation of QCD jet cross sections at the NLO accuracy. After a short introduction into the theory of NLO calculations, I discuss two recent developments: the calculation of two- and three-jet…

High Energy Physics - Phenomenology · Physics 2013-05-29 Zoltan Trocsanyi

We present a calculation of next-to-leading-order (NLO) QCD corrections to total hadronic production cross sections and to light-hadron-decay rates of heavy quarkonium states. Both colour-singlet and colour-octet contributions are included.…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Petrelli , M. Cacciari , M. Greco , F. Maltoni , M. L. Mangano

We compute the next-to-next-to-leading order (NNLO) soft and virtual QCD corrections for the partonic cross section of colourless-final state processes in hadronic collisions. The results are valid to all orders in the dimensional…

High Energy Physics - Phenomenology · Physics 2013-02-28 Daniel de Florian , Javier Mazzitelli

We present a solution of the DGLAP evolution equations, written in terms of Sudakov form factors to describe the branching and no-branching probabilities, using a parton branching Monte Carlo method. We demonstrate numerically that this…

High Energy Physics - Phenomenology · Physics 2017-10-12 Aleksandra Lelek