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Over the past few years considerable progress has been made on the resummation of double-logarithmically enhanced threshold (large-x) and high-energy (small-x) higher-order contributions to the splitting functions for parton and…

High Energy Physics - Phenomenology · Physics 2012-12-13 A. Vogt , C. H. Kom , N. A. Lo Presti , G. Soar , A. A. Almasy , S. Moch , J. A. M. Vermaseren , K. Yeats

We discuss different resummations of large logarithms that arise in hard-scattering cross sections of quarks and gluons in regions of large and small x. The large-x logarithms are typically dominant near threshold for the production of a…

High Energy Physics - Phenomenology · Physics 2010-03-30 Nikolaos Kidonakis , Agustin Sabio Vera , Philip Stephens

We consider QCD radiative corrections to the production of colourless high-mass systems in hadron collisions. The logarithmically-enhanced contributions at small transverse momentum are treated to all perturbative orders by a universal…

High Energy Physics - Phenomenology · Physics 2015-06-17 S. Catani , L. Cieri , D. de Florian , G. Ferrera , M. Grazzini

We present a combined resummation for the transverse momentum distribution of a colorless final state in perturbative QCD, expressed as a function of transverse momentum pt and the scaling variable x. Its expression satisfies three…

High Energy Physics - Phenomenology · Physics 2017-04-26 Claudio Muselli , Stefano Forte , Giovanni Ridolfi

I review the resummation formalism for organizing large logarithms in perturbative expansion of collinear subprocesses through the variation of Wilson lines off the light cone. A master equation is derived, which involves the evolution…

High Energy Physics - Phenomenology · Physics 2015-06-16 Hsiang-nan Li

To date, the appearance and resummation of "super-leading" logarithms in hadron-hadron collisions has been studied only for massless parton states. We extend the formalism to include an arbitrary number of massive final states. We derive…

High Energy Physics - Phenomenology · Physics 2025-10-30 Upalaparna Banerjee , Romy Grünhofer , Matthias König , Yibei Li , Matthias Neubert , Josua Scholze

The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at $\rho = \frac{1}{3}$. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A…

High Energy Physics - Phenomenology · Physics 2023-06-16 Arindam Bhattacharya , Johannes K. L. Michel , Matthew D. Schwartz , Iain W. Stewart , Xiaoyuan Zhang

We consider the transverse-momentum ($p_T$) distribution of $ZZ$ and $W^+W^-$ boson pairs produced in hadron collisions. At small $p_T$, the logarithmically enhanced contributions due to multiple soft-gluon emission are resummed to all…

High Energy Physics - Phenomenology · Physics 2015-09-03 Massimiliano Grazzini , Stefan Kallweit , Dirk Rathlev , Marius Wiesemann

We present results for matched distributions of a range of dijet event shapes at hadron colliders, combining next-to-leading logarithmic (NLL) accuracy in the resummation exponent, next-to-next-to leading logarithmic (NNLL) accuracy in its…

High Energy Physics - Phenomenology · Physics 2014-11-20 Andrea Banfi , Gavin P. Salam , Giulia Zanderighi

I present a master formula for the next-to-next-to-leading order (NNLO) soft and virtual QCD corrections for any process in hadron-hadron and lepton-hadron colliders. The formula is derived from a unified threshold resummation formalism.…

High Energy Physics - Phenomenology · Physics 2007-05-23 Nikolaos Kidonakis

In cross sections with angular cuts, an intricate pattern of enhanced higher-order corrections known as non-global logarithms arises. The leading logarithmic terms were computed numerically two decades ago, but the resummation of subleading…

High Energy Physics - Phenomenology · Physics 2024-03-21 Thomas Becher , Nicolas Schalch , Xiaofeng Xu

The study of hadronic jets and their substructure at hadronic colliders is crucial for improving our understanding of QCD, and searching for new physics. As such, there has been a significant effort to improve their theoretical description.…

High Energy Physics - Phenomenology · Physics 2025-03-31 Terry Generet , Kyle Lee , Ian Moult , Rene Poncelet , Xiaoyuan Zhang

Large logarithms that arise in cross sections due to the collinear and soft singularities of QCD are traditionally treated using parton showers or analytic resummation. Parton showers provide a fully-differential description of an event but…

High Energy Physics - Phenomenology · Physics 2020-01-08 Gillian Lustermans , Andreas Papaefstathiou , Wouter J. Waalewijn

We resum threshold double logarithms that appear in inclusive production of heavy quarkonium. This resolves the catastrophic failure of fixed-order perturbation theory where quarkonium cross sections at large transverse momentum can turn…

High Energy Physics - Phenomenology · Physics 2025-02-24 Hee Sok Chung , U-Rae Kim , Jungil Lee

I give a pedagogical introduction to resummation and power corrections, using the thrust variable in electron-positron annihilation as an example, followed by an discussion of issues of predictability in perturbative QCD.

High Energy Physics - Phenomenology · Physics 2007-05-23 George Sterman

We review the work discussed and developed under the topic ``Resummation'' at Working Group 2 ``Multijet final states and energy flow'', of the HERA-LHC Workshop. We emphasise the role played by HERA observables in the development of…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. Banfi , G. Corcella , M. Dasgupta , Y. Delenda , G. P. Salam , G. Zanderighi

We show how the resummation of large logarithms can be incorporated into the method of effective charges. As an example, we apply this approach to the event shape variables thrust and heavy jet mass in e+e- annihilation. We find that,…

High Energy Physics - Phenomenology · Physics 2010-04-05 M. J. Dinsdale , C. J. Maxwell

We present the resummed predictions for a vector boson pair production at the LHC. We have performed threshold resummation to next-to-next-to-leading logarithmic (NNLL) accuracy, and then matched them to next-to-next-to-leading order (NNLO)…

High Energy Physics - Phenomenology · Physics 2026-03-09 Pulak Banerjee , Chinmoy Dey , M. C. Kumar , Vaibhav Pandey

We perform a detailed study of inclusive jet production cross sections at the LHC and compare the QCD theory predictions based on the recently developed formalism for threshold and jet radius joint resummation at next-to-leading logarithmic…

High Energy Physics - Phenomenology · Physics 2018-04-04 Xiaohui Liu , Sven-Olaf Moch , Felix Ringer

After reviewing basic facts about large-order behaviour of perturbation expansions in various fields of physics, I consider several alternatives to the Borel summation method and discuss their relevance to different physical situations.…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jan Fischer