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We review the theoretical aspects relevant in the description of high energy heavy ion collisions, with an emphasis on the learnings about the underlying QCD phenomena that have emerged from these collisions.

High Energy Physics - Phenomenology · Physics 2022-08-31 Francois Gelis

We report on the calculation of the next-to-leading order QCD corrections to the production of W-boson pairs in association with a hard jet at hadron colliders, which is an important source of background for Higgs and new-physics searches.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Stefan Dittmaier , Stefan Kallweit , Peter Uwer

This short summary reviews the recent progress in the computation of higher-order corrections to W+b W-antib production. In addition, new phenomenological studies reveal potential problems that may affect precision measurements at the LHC.

High Energy Physics - Phenomenology · Physics 2014-12-16 Jan Winter

We discuss the evaluation of power corrections to hard scattering and decay processes for which an operator product expansion is applicable. The Wilson coefficient of the leading-twist operator is the difference of two perturbative series,…

High Energy Physics - Phenomenology · Physics 2009-10-09 G. Martinelli , C. T. Sachrajda

We study higher-order QCD corrections beyond NLO for the associated production of a photon with a $W$ boson ($\gamma W^+$ and $\gamma W^-$ production) at the Large Hadron Collider. We calculate the NNLO soft-plus-virtual QCD corrections as…

High Energy Physics - Phenomenology · Physics 2025-11-11 Nikolaos Kidonakis , Alberto Tonero

We discuss the process $p+p\to h_1+h_2+X$, where the identified hadrons $h_1$ and $h_2$ have large transverse momenta and are produced in high-energy proton-proton collisions with a large rapidity gap between them. In this case the…

High Energy Physics - Phenomenology · Physics 2011-10-21 Dmitry Yu. Ivanov , Alessandro Papa

The QCD radiative corrections to hadronic diboson production are reviewed. The radiative corrections for $W^{\pm}\gamma$, $Z\gamma$, $ZZ$, $W^+W^-$, and $W^{\pm} Z$ are discussed. Similarities and differences in the behavior of the order…

High Energy Physics - Phenomenology · Physics 2009-10-28 J. Ohnemus

QCD corrections to inclusive Higgs boson production at the LHC are evaluated at next-to-next-to leading order. By performing asymptotic expansion of the cross section near the limit of infinitely heavy top quark we obtained a few first top…

High Energy Physics - Phenomenology · Physics 2010-05-18 Alexey Pak , Mikhail Rogal , Matthias Steinhauser

QCD corrections to the electron positron annihilation cross-section into hadrons and to the hadronic $Z$ boson decay rate are reviewed. Formal developments are introduced in a form particularly suited for practical applications. These…

High Energy Physics - Phenomenology · Physics 2009-10-28 K. G. Chetyrkin , J. H. Kühn , A. Kwiatkowski

There exist many applications where it is necessary to approximate numerically derivatives of a function which is given by a computer procedure. In particular, all the fields of optimization have a special interest in such a kind of…

Numerical Analysis · Mathematics 2012-03-15 Yaroslav D. Sergeyev

We exhibit a method for simultaneously treating recoil and threshold corrections in single-photon inclusive cross sections, working within the formalism of collinear factorization. This approach conserves both the energy and transverse…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eric Laenen , George Sterman , Werner Vogelsang

An algorithm for an improved description of final-state QCD radiation is introduced. It is matched to the first-order matrix elements for gluon emission in a host of decays, for processes within the Standard Model and the Minimal…

High Energy Physics - Phenomenology · Physics 2009-10-31 Torbjörn Sjöstrand

We compare predictions of the quantum loop expansion to (essentially) infinite orders with (essentially) exact results in a simple quantum mechanical model.We find that there are exponentially small corrections to the loop expansion, which…

Mathematical Physics · Physics 2012-09-28 Amna Noreen , Kåre Olaussen

We consider high-order splitting schemes for large-scale differential Riccati equations. Such equations arise in many different areas and are especially important within the field of optimal control. In the large-scale case, it is critical…

Optimization and Control · Mathematics 2018-08-14 Tony Stillfjord

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

We present a simple way of separating the overlap between the soft and collinear factorization formulae of QCD squared matrix elements. We check its validity explicitly for single and double unresolved emissions of tree-level processes. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 Zoltan Nagy , Gabor Somogyi , Zoltan Trocsanyi

We compute the O(alpha_s) QCD corrections to the inclusive process e^+e^- --> t \bar t h. Although the total rate is small, it has a distinctive experimental signature and can potentially be used to measure the top quark-Higgs boson Yukawa…

High Energy Physics - Phenomenology · Physics 2009-10-31 Sally Dawson , Laura Reina

We summarize the motivations for and the status of the calculation of the $W +$ heavy quark production process in $p \bar p$ colliders to Next-to-Leading Order in QCD. This process can be used to constrain the strange quark distribution…

High Energy Physics - Phenomenology · Physics 2019-08-17 W. T. Giele , S. Keller , E. Laenen

We review recent developments in the QCD description of jet production and modification in reactions with heavy nuclei at relativistic energies. Our goal is to formulate a perturbative expansion in the presence of nuclear matter that allows…

High Energy Physics - Phenomenology · Physics 2011-05-27 I. Vitev

A summary of the current understanding of methods of analytical higher order perturbative computations of total cross sections and decay widths in Quantum Chromodynamics is presented. As examples, the total cross section in electron…

High Energy Physics - Phenomenology · Physics 2009-10-28 Levan R. Surguladze , Mark A. Samuel