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The partons' transverse momentum can be explored with QCD lattice simulations by studying the quasi-transverse-momentum-dependent parton distribution functions (qTMDPDFs), which are factorized in terms of physical TMDPDFs and soft factors…

High Energy Physics - Phenomenology · Physics 2023-12-19 Óscar del Río , Alexey Vladimirov

The inclusive production of jets in the central region of rapidity is studied in $k_T$-factorization at next-to-leading order (NLO) in QCD perturbation theory. Calculations are performed in the Regge limit making use of the NLO BFKL…

High Energy Physics - Phenomenology · Physics 2010-02-03 J. Bartels , A. Sabio Vera , F. Schwennsen

We present the matching coefficient for the quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large $N_c$-approximation, $N_c \sim N_f \gg 1$. Although several refinements are still needed…

High Energy Physics - Phenomenology · Physics 2020-01-01 Arnd Behring , Kirill Melnikov , Robbert Rietkerk , Lorenzo Tancredi , Christopher Wever

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

In this work we perform the first ever calculation of jet event shapes at hadron colliders at next-to-next-to leading order (NNLO) in QCD. The inclusion of higher order corrections removes the shape difference observed between data and…

High Energy Physics - Phenomenology · Physics 2023-04-05 Manuel Alvarez , Josu Cantero , Michal Czakon , Javier Llorente , Alexander Mitov , Rene Poncelet

We use the known soft and collinear limits of tree- and one-loop scattering amplitudes -- computed over a decade ago -- to explicitly construct a subtraction scheme for next-to-next-to-leading order (NNLO) computations. Our approach…

High Energy Physics - Phenomenology · Physics 2015-06-03 Radja Boughezal , Kirill Melnikov , Frank Petriello

We present the first complete calculation of hadron production in deep-inelastic scattering (DIS) at finite transverse momentum to next-to-next-to-leading order (NNLO) in perturbative QCD. To overcome the long-standing challenge of infrared…

High Energy Physics - Phenomenology · Physics 2026-02-27 Liang Dong , Shen Fang , Jun Gao , Hai Tao Li , Ding Yu Shao , Yu Jiao Zhu

We present a next-to-leading order computation in QCD of one-jet and two-jet cross sections in polarized hadronic collisions. Our results are obtained in the framework of a general formalism that deals with soft and collinear singularities…

High Energy Physics - Phenomenology · Physics 2009-10-31 D. de Florian , S. Frixione , A. Signer , W. Vogelsang

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 compute production rates for two, three, four and five jets in electron-positron annihilation at the third order in the QCD coupling constant. At this order, three-jet production is described to next-to-next-to-leading order (NNLO) in…

High Energy Physics - Phenomenology · Physics 2008-11-26 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , G. Heinrich

We present in detail a calculation of the next-to-leading order QCD corrections to the process $e^+e^-\to 3$ jets with massive quarks. To isolate the soft and collinear divergencies of the four parton matrix elements, we modify the phase…

High Energy Physics - Phenomenology · Physics 2009-10-30 Arnd Brandenburg , Peter Uwer

The production of the three jets in hadron-hardon collision is the first more complex process which allow us to define a branch of variables in order to do more precise measurement of the strong coupling and the parton distribution function…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zoltan Nagy

We calculate the two-loop soft function for $pp \to jj$, $e^+e^- \to 4j$ or $e p \to 3j$ when the $N$-jettiness observable is measured. The result presented here makes up the necessary piece for realizing the full next-to-next-to-leading…

High Energy Physics - Phenomenology · Physics 2019-06-26 Shan Jin , Xiaohui Liu

We calculate the cross section for the inclusive production of single hadrons with finite transverse momenta in deep-inelastic scattering at next-to-leading order (NLO), i.e. through O(alpha_s^2), in the parton model of QCD endowed with…

High Energy Physics - Phenomenology · Physics 2010-11-05 B. A. Kniehl , G. Kramer , M. Maniatis

The study of Quantum Chromodynamics (QCD) at ultra-relativistic energies can be performed in a controlled environment through lepton-hadron deep inelastic scatterings. In such collisions, the high-energy partonic emissions that follow from…

High Energy Physics - Phenomenology · Physics 2025-01-23 Liliana Apolinário , Raghav Kunnawalkam Elayavalli , Nuno Olavo Madureira

The soft function relevant for the production of an electroweak boson (photon, W, Z or H) with large transverse momentum at a hadron collider is computed at next-to-next-to-leading order. This is the first two-loop computation of a soft…

High Energy Physics - Phenomenology · Physics 2015-06-03 Thomas Becher , Guido Bell , Stefanie Marti

We present next-to-next-to-leading-order (NNLO) results for an exclusive soft function that appears in a recently developed factorization theorem for transverse momentum distributions. The factorization theorem, derived using the Soft…

High Energy Physics - Phenomenology · Physics 2011-12-21 Ye Li , Sonny Mantry , Frank Petriello

We present analytic results that describe fully-differential NNLO QCD corrections to deep-inelastic scattering processes within the nested soft-collinear subtraction scheme. This is the last building block required for the application of…

High Energy Physics - Phenomenology · Physics 2020-01-29 Konstantin Asteriadis , Fabrizio Caola , Kirill Melnikov , Raoul Röntsch

We consider QCD radiative corrections to vector-boson production in hadron collisions. We present the next-to-next-to-leading order (NNLO) result of the hard-collinear coefficient function for the all-order resummation of…

High Energy Physics - Phenomenology · Physics 2015-06-11 S. Catani , L. Cieri , D. de Florian , G. Ferrera , M. Grazzini

We present the first application of antenna subtraction at next-to-next-to-next-to-leading order (N$^3$LO) in QCD by computing fully differential predictions for two-jet production at electron-positron colliders. We illustrate the structure…

High Energy Physics - Phenomenology · Physics 2025-09-03 Xuan Chen , Petr Jakubčík , Matteo Marcoli , Giovanni Stagnitto
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