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We prove the all-order exponentiation of soft logarithmic corrections to prompt photon production in hadronic collisions, by generalizing an approach previously developed in the context of Drell-Yan production and deep-inelastic scattering.…

High Energy Physics - Phenomenology · Physics 2010-04-05 Paolo Bolzoni , Stefano Forte , Giovanni Ridolfi

In this PhD thesis, we analyze and generalize the renormalization group approach to the resummation of large logarithms in the perturbative expansion due to soft and collinear multiparton emissions. In particular, we present a…

High Energy Physics - Phenomenology · Physics 2010-06-30 Paolo Bolzoni

I discuss and review soft anomalous dimensions in QCD that describe soft-gluon threshold resummation for a wide range of hard-scattering processes. The factorization properties of the cross section in moment space and renormalization-group…

High Energy Physics - Phenomenology · Physics 2020-10-05 Nikolaos Kidonakis

We define a general scheme for the evolution of fragmentation functions which resums soft gluon logarithms in a manner consistent with fixed order evolution. We present an explicit example of our approach in which double logarithms are…

High Energy Physics - Phenomenology · Physics 2017-08-23 S. Albino

Many observables in QCD rely upon the resummation of perturbation theory to retain predictive power. Resummation follows after one factorizes the cross section into the rele- vant modes. The class of observables which are sensitive to soft…

High Energy Physics - Phenomenology · Physics 2015-06-04 Jui-yu Chiu , Ambar Jain , Duff Neill , Ira Z. Rothstein

I discuss the effectiveness of soft-gluon resummations in describing higher-order corrections. I present a comparison of recent resummation approaches and their relative successes in approximating complete NNLO corrections. I also discuss…

High Energy Physics - Phenomenology · Physics 2023-02-21 Nikolaos Kidonakis

In this thesis, we develop resummation algorithms suitable for perturbative QCD. In the first part, we propose a resummation technique applicable to the Regge limit. We develop a new systematic procedure for this limit in perturbative QCD…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tibor Kucs

We consider the cross section for one-particle inclusive production at high transverse momentum in hadronic collisions. We present the all-order resummation formula that controls the logarithmically-enhanced perturbative QCD contributions…

High Energy Physics - Phenomenology · Physics 2013-07-25 S. Catani , M. Grazzini , A. Torre

I present results for the resummation of soft-gluon contributions to QCD hard-scattering cross sections at next-to-next-to-leading logarithm accuracy. A key ingredient is the calculation of two-loop soft anomalous dimensions for the…

High Energy Physics - Phenomenology · Physics 2011-04-12 Nikolaos Kidonakis

We present a QCD study of fragmentation processes for light and heavy quarks in the semi-inclusive region of large x. Large logarithmic terms, due to soft-gluon radiation, are evaluated and resummed to all perturbative orders in the QCD…

High Energy Physics - Phenomenology · Physics 2010-05-28 M. Cacciari , S. Catani

We study the soft limit of one-loop QCD amplitudes and we derive the process-independent factorization formula that controls the singular behaviour in this limit. This is obtained from the customary eikonal factorization formula valid at…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Catani , M. Grazzini

We study applications of QCD soft-gluon resummations to electroweak annihilation cross sections. We focus on a formalism that allows to resum logarithmic corrections arising near partonic threshold and at small transverse momentum…

High Energy Physics - Phenomenology · Physics 2014-11-17 A. Kulesza , G. Sterman , W. Vogelsang

Soft-gluon resummation within the framework of heavy quarkonium hadroproduction is considered. A few selected cases are studied in detail. A sizeable increase of the cross sections with respect to the next-to-leading order predictions with…

High Energy Physics - Phenomenology · Physics 2009-10-31 Matteo Cacciari

We demonstrate that all the known single- and double-logarithm summations for a parton distribution function can be unified in the Collins-Soper resummation technique by applying soft approximations appropriate in different kinematic…

High Energy Physics - Phenomenology · Physics 2014-11-17 Jyh-Liong Lim , Hsiang-nan Li

I discuss general unified formulas for resumming collinear and soft contributions to QCD hard scattering cross sections at large x. Expansions of the resummed cross sections to next-to-next-to-next-to-leading order are also shown along with…

High Energy Physics - Phenomenology · Physics 2009-11-10 Nikolaos Kidonakis

We extend the methods of Yennie, Frautschi and Suura to QCD for the summation of soft gluon effects in which infrared singularities are cancelled to all orders in $\alpha_s$. An explicit formula for the respective \rngp improved…

High Energy Physics - Phenomenology · Physics 2009-10-22 D. B. DeLaney , S. Jadach , Ch. Shio , G. Siopsis , B. F. L. Ward

We define a general scheme for the evolution of fragmentation functions which resums both soft gluon logarithms and mass singularities in a consistent manner and to any order, and requires no additional theoretical assumptions. Using the…

High Energy Physics - Phenomenology · Physics 2010-03-25 S. Albino , B. A. Kniehl , G. Kramer , W. Ochs

While we have several complementary models of confinement, some of which are phenomenologically appealing, we do not have the ability to calculate analytically even simple aspects of confinement, let alone have a framework to eventually…

High Energy Physics - Lattice · Physics 2026-05-20 Gerrit Schierholz

We suggest that at any given order of Feynman diagram calculation all renormalization group (RG)-predictable terms should be resummed to all-orders. This ``complete'' RG-improvement (CORGI) serves to separate the perturbation series into…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. J. Maxwell

We introduce a systematic approach for the resummation of perturbative series which involve large logarithms not only due to large invariant mass ratios but large rapidities as well. Series of this form can appear in a variety of gauge…

High Energy Physics - Phenomenology · Physics 2015-03-19 Jui-yu Chiu , Ambar Jain , Duff Neill , Ira Z. Rothstein
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