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Infrared- and collinear-safe (IRC-safe) observables have finite cross sections to each fixed-order in perturbative QCD. Generically, ratios of IRC-safe observables are themselves not IRC safe and do not have a valid fixed-order expansion.…

High Energy Physics - Phenomenology · Physics 2015-06-16 Andrew J. Larkoski , Jesse Thaler

The main theoretical tool to provide precise predictions for scattering cross sections of strongly interacting particles is perturbative QCD. Starting at next-to-leading order (NLO) the calculation suffers from unphysical IR-divergences…

High Energy Physics - Phenomenology · Physics 2014-10-13 David Heymes

Results from inclusive and differential measurements of the production cross sections for top quarks in proton-proton collisions at center-of-mass energies of 7 and 8 TeV are compared to predictions at next-to-leading and…

High Energy Physics - Experiment · Physics 2019-08-14 Sebastian Naumann-Emme

QCD calculations for collider physics make use of perturbative solutions of renormalisation group equations (RGEs). Ambiguities related to these solutions can contribute significantly to systematic uncertainties of theoretical predictions…

High Energy Physics - Phenomenology · Physics 2025-05-30 Valerio Bertone , Giuseppe Bozzi , Francesco Hautmann

The determination of the pattern of hadronic resonances as predicted by Quantum Chromodynamics requires the use of non-perturbative techniques. Lattice QCD has emerged as the dominant tool for such calculations, and has produced many QCD…

We describe a general method of calculating the fully differential cross section for the production of jets at next-to-leading order in a hadron collider. This method is based on a `crossing' of next-to-leading order calculations with all…

High Energy Physics - Phenomenology · Physics 2008-11-26 Walter T. Giele , E. W. Nigel Glover , David A. Kosower

I illustrate a general formalism based upon the subtraction method for the calculation of next-to-leading order QCD cross sections for any number of jets in any type of hard collisions. I discuss the implementation of this formalism in a…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Frixione

We compute the cross section for the production of a high-mass photon pair in association with two hadronic jets to next-to-leading order (NLO) in quantum chromodynamics (QCD). Our results allow for the first time to reliably predict the…

High Energy Physics - Phenomenology · Physics 2015-06-16 Thomas Gehrmann , Nicolas Greiner , Gudrun Heinrich

We discuss the universal behaviour of scattering cross sections in the limit of infinite rapidity separation between all produced particles, and illustrate the behaviour explicitly for the production of n jets, W+n jets, Z+n jets for…

High Energy Physics - Phenomenology · Physics 2010-01-22 Jeppe R. Andersen , Jennifer M. Smillie

We compute the cross section and differential distributions for the production of a Z boson in association with a hadronic jet to next-to-next-to-leading order (NNLO) in perturbative QCD, including the leptonic decay of the Z boson. We…

High Energy Physics - Phenomenology · Physics 2016-07-13 A. Gehrmann-De Ridder , T. Gehrmann , E. W. N. Glover , A. Huss , T. A. Morgan

I review the status of the comparisons between a few measurements at hadronic colliders and perturbative QCD predictions, which emphasize the need for improving the current computations. Such improvements will be mandatory for a…

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

Quantum Chromodynamics predicts radiative terms which, at low transverse momentum of an observed multi-particle system, can be large enough to threaten the legitimacy of a fixed-order perturbative treatment. We present a subtraction-style…

High Energy Physics - Phenomenology · Physics 2009-09-25 Christopher Edmond Fink

We review the basic concepts of all-order calculations in Quantum Chromodynamics (QCD) and their application to collider phenomenology. We start by discussing the factorization properties of QCD amplitudes and cross-sections in the soft and…

High Energy Physics - Phenomenology · Physics 2017-10-11 Gionata Luisoni , Simone Marzani

In addition to the evaluation of high-order loop contributions, the precision and predictive power of perturbative QCD (pQCD) predictions depends on two important issues: (1) how to achieve a reliable, convergent fixed-order series, and (2)…

High Energy Physics - Phenomenology · Physics 2023-05-01 Jian-Ming Shen , Zhi-Jian Zhou , Sheng-Quan Wang , Jiang Yan , Zhi-Fei Wu , Xing-Gang Wu , Stanley J. Brodsky

We briefly describe a new general algorithm for carrying out QCD calculations to next-to-leading order in perturbation theory. The algorithm can be used for computing arbitrary jet cross sections in arbitrary processes and can be…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Catani , Michael H. Seymour

Perturbative coefficients grow factorially with the order and one needs a prescription to truncate the series in order to obtain a finite result. A common prescription consists in dropping the smallest contribution at a given coupling and…

High Energy Physics - Theory · Physics 2017-08-23 Y. Meurice

Born cross section and the radiative corrections to its lowest order are considered in the frame work of QED with structureless nucleons including the emission of virtual and real photons. Result is generalized to take into account…

High Energy Physics - Phenomenology · Physics 2009-11-13 E. A. Kuraev , S. Bakmaev , Yu. M. Bystritskiy , T. V. Shishkina , O. P. Solovtsova

We report a calculation of the perturbative matching coefficients for the transverse-momentum-dependent parton distribution functions for quark at the next-to-next-to-next-to-leading order in QCD, which involves calculation of non-standard…

High Energy Physics - Phenomenology · Physics 2020-06-12 Ming-xing Luo , Tong-Zhi Yang , Hua Xing Zhu , Yu Jiao Zhu

Power corrections to hadronic event shapes are estimated using a recently suggested relationship between perturbative and non-perturbative effects in QCD. The infrared cutoff dependence of perturbative calculations is related to…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. R. Webber

Infrared safe differential cross sections, such as event shape distributions, can be measured over wide kinematic ranges, from regions where fixed order calculations are adequate to regions where nonperturbative dynamics dominate. Such…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman