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We give a brief overview of our calculation of the next-to-next-to-leading order (NNLO) QCD corrections to Z+jet production in hadronic collisions. Phenomenological results are presented which comprise various differential distributions for…

High Energy Physics - Phenomenology · Physics 2016-07-07 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , A. Huss , T. A. Morgan

We consider direct diphoton production in hadron collisions, and we compute the next-to-next-to-leading order (NNLO) QCD radiative corrections at the fully-differential level. Our calculation uses the $q_T$ subtraction formalism and it is…

High Energy Physics - Phenomenology · Physics 2016-06-27 Stefano Catani , Leandro Cieri , Daniel de Florian , Giancarlo Ferrera , Massimiliano Grazzini

We discuss interplay between the high-twist (HT) terms in the operator-product expansion and the next-to-next-to-leading-order (NNLO) QCD corrections to the deep-inelastic-scattering structure functions in analysis of the high-precision…

High Energy Physics - Phenomenology · Physics 2007-05-23 S. Alekhin

We introduce a simple, general, and convergent scheme to compute generalized eigenfunctions of self-adjoint operators with continuous spectra on rigged Hilbert spaces. Our approach does not require prior knowledge about the eigenfunctions,…

Numerical Analysis · Mathematics 2024-10-14 Matthew J. Colbrook , Andrew Horning , Tianyiwa Xie

Via a unified geometric approach, a class of generalized trigonometric functions with two parameters are analytically extended to maximal domains on which they are univalent. Some consequences are deduced concerning radius of convergence…

Complex Variables · Mathematics 2026-05-25 Pisheng Ding

We present results for unpolarized and polarized semi-inclusive deep-inelastic scattering mediated by electroweak gauge bosons at next-to-next-to-leading order (NNLO) in perturbative quantum chromodynamics. The results include all relevant…

High Energy Physics - Phenomenology · Physics 2026-04-01 Saurav Goyal , Sven-Olaf Moch , Vaibhav Pathak , V. Ravindran

We present here the first result on the three-loop gluon jet function in perturbative QCD. Using the three-loop coefficient functions [1,2] for deep-inelastic scattering via the exchange of a virtual photon that couples to quarks or a…

High Energy Physics - Phenomenology · Physics 2018-11-28 Pulak Banerjee , Prasanna K. Dhani , V. Ravindran

We present next-to-next-to-leading order (NNLO) parton distribution functions (PDFs) from the CTEQ-TEA group. The CT10NNLO PDF fit is based on essentially the same global data sets used in the CT10 and CT10W NLO PDF analyses. After…

High Energy Physics - Phenomenology · Physics 2014-08-21 Jun Gao , Marco Guzzi , Joey Huston , Hung-Liang Lai , Zhao Li , Pavel Nadolsky , Jon Pumplin , Daniel Stump , C. -P. Yuan

We propose a novel class of neural network-like parametrized functions, i.e., general transformation neural networks (GTNNs), for high-dimensional approximation. Conventional deep neural networks sometimes perform less accurately on…

Numerical Analysis · Mathematics 2026-02-25 Xiaoyang Wang , Yiqi Gu

The production of two-jet final states in deep inelastic scattering is an important QCD precision observable. We compute it for the first time to next-to-next-to-leading order (NNLO) in perturbative QCD. Our calculation is fully…

High Energy Physics - Phenomenology · Physics 2016-07-27 James Currie , Thomas Gehrmann , Jan Niehues

We present the calculation of QCD radiative corrections to heavy-quark production at NNLO. The calculation is implemented in an updated version of \textsc{Matrix}, which allows us to obtain multidifferential predictions for stable top…

High Energy Physics - Phenomenology · Physics 2022-05-20 Simone Devoto

Quantum algorithms manipulate the amplitudes of quantum states to find solutions to computational problems. In this work, we present a framework for applying a general class of non-linear functions to the amplitudes of quantum states, with…

Quantum Physics · Physics 2023-09-19 Arthur G. Rattew , Patrick Rebentrost

In factorization formulae for cross sections of scattering processes, final-state jets are described by jet functions, which are a crucial ingredient in the resummation of large logarithms. We present an approach to calculate generic…

High Energy Physics - Phenomenology · Physics 2020-12-02 Avanish Basdew-Sharma , Franz Herzog , Solange Schrijnder van Velzen , Wouter J. Waalewijn

We present a method for constructing global analytical expressions that approximate a function over its entire range. These approximations not only mirror the original function as accurately as desired, but are purposefully created to…

High Energy Physics - Phenomenology · Physics 2024-07-09 Aviv Orly

Using non-relativistic effective theories, new next-to-next-to-leading order (NNLO) QCD corrections to the total $t\bar t$ production cross section at the Linear Collider have been calculated recently. In this article the NNLO calculations…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. H. Hoang , M. Beneke , K. Melnikov , T. Nagano , A. Ota , A. A. Penin , A. A. Pivovarov , A. Signer , V. A. Smirnov , Y. Sumino , T. Teubner , O. Yakovlev , A. Yelkhovsky

We present a detailed phenomenological study of the next-to-next-to-leading order (NNLO) QCD corrections for $t$-channel single top (anti-)quark production and its semi-leptonic decay at the CERN Large Hadron Collider (LHC). We find the…

High Energy Physics - Phenomenology · Physics 2020-04-02 Edmond L. Berger , Jun Gao , Hua Xing Zhu

We present a general subtraction method for computing radiative corrections to QCD jet cross sections at next-to-next-to-leading order accuracy. The steps needed to set up this subtraction scheme are the same as those used in…

High Energy Physics - Phenomenology · Physics 2009-11-13 Zoltan Trocsanyi , Gabor Somogyi

We present a new method for the local subtraction of infrared divergences at next-to-next-to-leading order (NNLO) in QCD, for generic infrared-safe observables. Our method attempts to conjugate the minimal local counterterm structure…

High Energy Physics - Phenomenology · Physics 2019-05-03 Lorenzo Magnea , Ezio Maina , Giovanni Pelliccioli , Chiara Signorile-Signorile , Paolo Torrielli , Sandro Uccirati

Precision studies of QCD at electron-positron colliders are based on measurements of event shapes and jet rates. To match the high experimental accuracy, theoretical predictions to next-to-next-to-leading order (NNLO) in QCD are needed for…

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

Recently, we have presented the result for the zero-jettiness soft function at next-to-next-to-next-to-leading order (N3LO) in perturbative QCD [arXiv:2409.11042], without providing technical details of the calculation. The goal of this…

High Energy Physics - Phenomenology · Physics 2024-12-19 Daniel Baranowski , Maximilian Delto , Kirill Melnikov , Andrey Pikelner , Chen-Yu Wang
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