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The QCD coupling alpha_s is determined from a combined analysis of experimental e+e- and e-p jet data confronted to theoretical predictions of the energy evolution of the parton-to-hadron fragmentation functions (FFs) moments…

High Energy Physics - Phenomenology · Physics 2015-06-23 Redamy Pérez-Ramos , David d'Enterria

The fragmentation of a light parton i to a jet containing a light energetic hadron h, where the momentum fraction of this hadron as well as the invariant mass of the jet is measured, is described by "fragmenting jet functions". We calculate…

High Energy Physics - Phenomenology · Physics 2011-07-19 Ambar Jain , Massimiliano Procura , Wouter J. Waalewijn

We present a new subtraction scheme for next-to-leading order QCD calculations, where the momentum mapping and the splitting functions have been derived in the context of an improved parton shower formulation. A main advantage of our scheme…

High Energy Physics - Phenomenology · Physics 2011-05-27 Tania Robens , Cheng Han Chung , Michael Kramer

We perform the analytic calculation of the Mellin moments of the structure functions F_2 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the anomalous…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Moch , J. A. M. Vermaseren

We report the calculation of the process $e^+ e^- \to J/\psi J/\psi$ up to next-to-next-to-leading order (NNLO) at a center-of-mass (CM) energy of $\sqrt{s}=10.58$ GeV. We employ an improved NRQCD factorization approach, decomposing the…

High Energy Physics - Phenomenology · Physics 2025-10-27 Wen-Long Sang , Feng Feng , Yu Jia , Zhewen Mo , Jichen Pan , Jia-Yue Zhang

We compute the NNLO QCD corrections to three-photon production at the LHC. This is the first NNLO QCD calculation for a $2\to 3$ process. Our calculation is exact, except for the scale-independent part of the two-loop finite remainder which…

High Energy Physics - Phenomenology · Physics 2020-02-27 Herschel A. Chawdhry , Michał Czakon , Alexander Mitov , Rene Poncelet

We have studied the recently completed analytic all-N expressions for the four-loop anomalous dimensions corresponding to the next-to-next-to-next-to-leading order splitting functions for the non-singlet quark distribution in perturbative…

High Energy Physics - Phenomenology · Physics 2026-05-06 S. Moch , A. Vogt

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 a calculation of all matching coefficients for $N$-jettiness beam functions at next-to-next-to-next-to-leading order (N$^3$LO) in perturbative quantum chromodynamics (QCD). Our computation is performed starting from the…

High Energy Physics - Phenomenology · Physics 2023-03-01 Daniel Baranowski , Arnd Behring , Kirill Melnikov , Lorenzo Tancredi , Christopher Wever

We present a next-to-next-to-leading order (NNLO) calculation of the quasi parton distribution functions (Quasi-PDFs) in the large momentum effective theory (LaMET). We focus on the flavor non-diagonal quark-quark channel and demonstrate…

High Energy Physics - Phenomenology · Physics 2020-08-05 Long-Bin Chen , Wei Wang , Ruilin Zhu

We present the analytic next-to-next-to-leading perturbative QCD corrections in the leading twist approximation for the moments N=2,4,6,8 of the flavour singlet deep inelastic structure functions F_2 and F_L. We calculate the three-loop…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. A. Larin , P. Nogueira , T. van Ritbergen , J. A. M. Vermaseren

We have computed the first 30 even-N moments for the double fermionic (nf^2) part of the quark-to-gluon splitting function P_{gq} at the fourth order of perturbative QCD via the renormalization of off-shell operator matrix elements. From…

High Energy Physics - Phenomenology · Physics 2023-10-06 G. Falcioni , F. Herzog , S. Moch , J. Vermaseren , A. Vogt

We report on results for the heavy flavor contributions to $F_2(x,Q^2)$ in the limit $Q^2\gg m^2$ at {\sf NNLO}. By calculating the massive $3$--loop operator matrix elements, we account for all but the power suppressed terms in $m^2/Q^2$.…

High Energy Physics - Phenomenology · Physics 2016-08-14 J. Ablinger , I. Bierenbaum , J. Blümlein , A. Hasselhuhhn , S. Klein , C. Schneider , F. Wißbrock

We compute the two-loop heavy quark jet-function in the heavy quark limit. This is one of the key ingredients in next-to-next-to-leading order (NNLO) and next-to-next-to-leading-log order (NNLL) computations of the invariant mass…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ambar Jain , Ignazio Scimemi , Iain W. Stewart

We present a novel framework to streamline the calculation of jet and beam functions to next-to-next-to-leading order (NNLO) in perturbation theory. By exploiting the infrared behaviour of the collinear splitting functions, we factorise the…

High Energy Physics - Phenomenology · Physics 2021-10-29 Guido Bell , Kevin Brune , Goutam Das , Marcel Wald

In this paper we discuss techniques, which lead to a significant improvement of the efficiency of the Monte Carlo integration, when one-loop QCD amplitudes are calculated numerically with the help of the subtraction method and contour…

High Energy Physics - Phenomenology · Physics 2015-06-05 Sebastian Becker , Christian Reuschle , Stefan Weinzierl

We analyze the iterative structure of unfactorized partonic structure functions in the large-x limit, and derive all-order expressions for the leading-logarithmic off-diagonal splitting functions P_gq and P_qg and the corresponding…

High Energy Physics - Phenomenology · Physics 2014-11-21 A. Vogt

The next-to-next-to-leading order (NNLO) QCD analysis of the revised experimental data of the CCFR collaboration for the $xF_3$ structure function of the deep-inelastic scattering of neutrinos and antinuetrinos on the nucleons is made by…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. L. Kataev , A. V. Kotikov , G. Parente , A. V. Sidorov

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

We present the calculation of three-loop massless QCD and QED helicity amplitudes for light-by-light scattering. We make use of Lorentz tensor decomposition in the 't Hooft-Veltman dimensional regularisation scheme to reduce the complexity…

High Energy Physics - Phenomenology · Physics 2026-03-25 Piotr Bargiela , Amlan Chakraborty , Giulio Gambuti , Melih A. Ozcelik