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I review a few selected topics concerning heavy-quark fragmentation, taking particular care about bottom- and charm-quark production in $e^+e^-$ annihilation and the inclusion of non-perturbative corrections. In particular, I discuss recent…

High Energy Physics - Phenomenology · Physics 2022-10-06 Gennaro Corcella

We study logarithms of the form $\ln(m_q/m_b)$ which arise in the inclusive semileptonic decay of a bottom quark to a quark of mass $m_q$. We use the renormalization group to resum the leading radiative corrections to these terms, of the…

High Energy Physics - Phenomenology · Physics 2014-11-17 Christian Bauer , Adam F. Falk , Michael Luke

Resummation techniques are essential for high-precision phenomenology at current and future high-energy collider experiments. Perturbative computations of cross sections often suffer from large logarithmic corrections, which must be…

The scale evolution of parton distributions is governed by splitting functions. We compute the four-loop splitting functions in perturbative QCD that control the evolution of quark non-singlet distributions. We confirm previous partial…

High Energy Physics - Phenomenology · Physics 2026-04-27 Thomas Gehrmann , Andreas von Manteuffel , Vasily Sotnikov , Tong-Zhi Yang

We thoroughly investigate both transverse momentum and threshold resummation effects on scalar-pseudoscalar pair production via quark-antiquark annihilation at the $13~ \text{TeV}$ Large Hadron Collider at QCD NLO+NLL accuracy. A…

High Energy Physics - Phenomenology · Physics 2021-12-28 He-Yi Li , Ren-You Zhang , Yu Zhang , Wen-Gan Ma , Ming-Ming Long , Shu-Xiang Li

We study next-to-leading-power (NLP) threshold corrections in colour-singlet production processes, with particular emphasis on Drell-Yan (DY) and single-Higgs production. We assess the quality of the partonic and hadronic threshold…

High Energy Physics - Phenomenology · Physics 2021-06-02 Melissa van Beekveld , Eric Laenen , Jort Sinninghe Damsté , Leonardo Vernazza

We extend the threshold resummation of the large logarithms $\ln x$ which appear in factorization formulas for exclusive $B$ meson decays, $x$ being a spectator momentum fraction, to the next-to-leading-logarithm (NLL) accuracy. It is shown…

High Energy Physics - Phenomenology · Physics 2021-07-28 Zhi-Qing Zhang , Hsiang-nan Li

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

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 calculate the second-order QCD corrections to the forward-backward asymmetry in $e^+e^-$ annihilation. Using the quark axis definition, we do not agree with either existing calculation, but the difference relative to one of them is small…

High Energy Physics - Phenomenology · Physics 2010-02-03 Stefano Catani , Michael H. Seymour

We consider the numerical solution of partial differential equations with coefficients that are strongly heterogeneous in space. We provide an overview of higher-order localized orthogonal decomposition (LOD) methods for the elliptic…

Numerical Analysis · Mathematics 2026-05-29 Balaje Kalyanaraman , Felix Krumbiegel , Roland Maier , Siyang Wang

We explore the relation between resummation and explicit multi-loop calculations for QCD hard-scattering amplitudes. We describe how the factorization properties of amplitudes lead to the exponentiation of double and single poles at each…

High Energy Physics - Phenomenology · Physics 2014-11-17 George Sterman , Maria E. Tejeda-Yeomans

We propose a new generalized version of the QCD Analytic Perturbation Theory of Shirkov and Solovtsov for the computation of higher-order corrections in inclusive and exclusive processes. We construct non-power series expansions for the…

High Energy Physics - Phenomenology · Physics 2014-11-18 A. P. Bakulev , S. V. Mikhailov , N. G. Stefanis

The measurements of the $\gamma\gamma$ and $b \bar b$ partial decay widths of an intermediate-mass Standard Model Higgs boson are among the most important goals of a future photon linear collider. While in an initially polarized $J_z=0$…

High Energy Physics - Phenomenology · Physics 2011-01-25 Michael Melles , W. James Stirling

We present a combined next-to-leading order QCD analysis to data on both inclusive and semi-inclusive polarized deep inelastic scattering asymmetries. Performing NLO QCD global fits with different sets of observables, we evaluate the impact…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. de Florian , O. Sampayo , R. Sassot

The double logarithmic terms $\alpha_{s} \ln^{2}x $ are important to predict precisely the small $x$ behavior of the spin structure function $g_{1}$. We numerically analyze the evolution of the flavor non-singlet $g_{1}$ including the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Yuichiro Kiyo , Jiro Kodaira , Hiroshi Tochimura

We analyze experimental data for the production of Lambda baryons in e^+e^- annihilation in terms of scale dependent, QCD evolved, Lambda fragmentation functions. Apart from the vast majority of the data for which the polarization of an…

High Energy Physics - Phenomenology · Physics 2009-10-30 D. de Florian , M. Stratmann , W. Vogelsang

We report on the three-loop unpolarized and polarized massive operator matrix elements, with single- and two-mass corrections, and the associated deep-inelastic massive Wilson coefficients in the region $Q^2 \gg m_Q^2$, the calculation of…

High Energy Physics - Phenomenology · Physics 2026-02-12 J. Ablinger , A. Behring , J. Blümlein , A. De Freitas , A. von Manteuffel , C. Schneider , K. Schönwald

We apply the effective field theoretic (EFT) approach to resum the large perturbative logarithms arising when partonic hard scattering cross-sections are taken to the threshold limit. We consider deep inelastic scattering, Drell-Yan lepton…

High Energy Physics - Phenomenology · Physics 2008-11-26 Ahmad Idilbi , Xiangdong Ji , Feng Yuan

We present results relevant for the extension of threshold resummation beyond the next-to-leading logarithmic (NLL) order for QCD hard-scattering processes. As an example, we consider di-hadron production $H_1 H_2\to h_1 h_2 X$, where the…

High Energy Physics - Phenomenology · Physics 2015-10-28 Patriz Hinderer , Felix Ringer , George F. Sterman , Werner Vogelsang