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We investigate the problem of recovering coefficients in scalar nonlinear ordinary differential equations that can be exactly linearized. This contribution builds upon prior work by Lyakhov, Gerdt, and Michels, which focused on obtaining a…

Symbolic Computation · Computer Science 2024-04-03 Dmitry A. Lyakhov , Dominik L. Michels

The successive perturbative estimates of the pressure of QCD at high temperature T show no sign of convergence, unless the coupling constant g is unrealistically small. Exploiting known results of an effective field theory which separates…

High Energy Physics - Phenomenology · Physics 2009-11-10 J. -P. Blaizot , E. Iancu , A. Rebhan

We investigate the evolution of parton densities at small values of the momentum fraction, x, by including resummed anomalous dimensions in the renormalization group equations. The resummation takes into account the leading-logarithmic…

High Energy Physics - Phenomenology · Physics 2016-09-01 R. K. Ellis , F. Hautmann , B. R. Webber

We address the issue of large-order expansions in strong-field QED. Our approach is based on the one-loop effective action encoded in the associated photon polarisation tensor. We concentrate on the simple case of crossed fields aiming at…

High Energy Physics - Theory · Physics 2009-11-11 Thomas Heinzl , Oliver Schroeder

The quark form factor is known to exponentiate within the framework of dimensionally regularized perturbative QCD. The logarithm of the form factor is expressed in terms of integrals over the scale of the running coupling. I show that these…

High Energy Physics - Phenomenology · Physics 2009-10-31 Lorenzo Magnea

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

Recent progress in our understanding of infrared singularities of multi-parton amplitudes has shown that the simplest form of Regge factorization for high-energy gauge-theory amplitudes fails starting at next-to-next-to-leading logarithmic…

High Energy Physics - Phenomenology · Physics 2015-06-17 Vittorio Del Duca , Giulio Falcioni , Lorenzo Magnea , Leonardo Vernazza

We consider the production of a pair of heavy quarks ($Q{\bar Q}$) in hadronic collisions. When the transverse momentum $q_T$ of the heavy-quark pair is much smaller than its invariant mass, the QCD perturbative expansion is affected by…

High Energy Physics - Phenomenology · Physics 2015-06-22 S. Catani , M. Grazzini , A. Torre

We present an update to the NNLL RG-improved QCD prediction of top-antitop production in electron-positron annihilation at threshold. It includes for the first time a complete NNLL resummation of ultrasoft logarithms, which are dominant at…

High Energy Physics - Phenomenology · Physics 2011-12-06 Andre Hoang , Maximilian Stahlhofen

On the basis of the results of a new renormalisation group improved small-x resummation scheme, we argue that the range of validity of perturbative calculations is considerably extended in rapidity with respect to leading log expectations.…

High Energy Physics - Phenomenology · Physics 2011-07-19 M. Ciafaloni , D. Colferai , G. P. Salam , A. M. Stasto

Recent CDF measurements of the inclusive cross section for a double parton scattering attach a great importance to any theoretical calculations of two-particle distribution functions. Using a parton interpretation of the leading logarithm…

High Energy Physics - Phenomenology · Physics 2016-09-06 A. M. Snigirev

We have computed the fourth-order nf^2 contributions to all three non-singlet quark-quark splitting functions and their four nf^3 flavour-singlet counterparts for the evolution of the parton distributions of hadrons in perturbative QCD with…

High Energy Physics - Phenomenology · Physics 2017-02-01 J. Davies , A. Vogt , B. Ruijl , T. Ueda , J. A. M. Vermaseren

The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double…

High Energy Physics - Phenomenology · Physics 2015-06-23 E. Iancu , J. D. Madrigal , A. H. Mueller , G. Soyez , D. N. Triantafyllopoulos

We present the general expressions for the resummation, up to next-to-leading logarithmic accuracy, of Sudakov-type logarithms in processes with an arbirtrary number of hard-scattering partons. These results document the formulae used by…

High Energy Physics - Phenomenology · Physics 2010-04-05 R. Bonciani , S. Catani , M. L. Mangano , P. Nason

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

We perform the first global QCD analysis of polarized inclusive and semi-inclusive deep-inelastic scattering and single-inclusive $e^+e^-$ annihilation data, fitting simultaneously the parton distribution and fragmentation functions using…

High Energy Physics - Phenomenology · Physics 2017-10-04 J. J. Ethier , N. Sato , W. Melnitchouk

We derive threshold resummation of semi-inclusive deep-inelastic scattering (SIDIS), by building upon previous results by some of us for the resummation of the Drell-Yan process at fixed rapidity, which is related to SIDIS by crossing. We…

High Energy Physics - Phenomenology · Physics 2026-05-01 Stefano Forte , Giovanni Ridolfi , Francesco Ventola

We present the first next-to-leading-logarithmic QCD analysis of the electromagnetic corrections to the semileptonic weak Hamiltonian, including the mixed $\mathcal{O}(\alpha\,\alpha_s^2)$ corrections to the vector coupling $g_V$. The…

High Energy Physics - Phenomenology · Physics 2026-03-05 Francesco Moretti , Martin Gorbahn , Sebastian Jaeger

A new strategy is presented for systematically treating super-leading logarithmic contributions including higher-order Glauber exchanges for non-global LHC observables in renormalization-group (RG) improved perturbation theory. This…

High Energy Physics - Phenomenology · Physics 2024-08-09 Philipp Böer , Patrick Hager , Matthias Neubert , Michel Stillger , Xiaofeng Xu

We present results for threshold resummation of the invariant mass distribution, for on-shell production of a pair of $W$-bosons at next-to-next-to-leading order + next-to-next-to-leading logarithmic (NNLO+NNLL) accuracy in QCD. Owing to…

High Energy Physics - Phenomenology · Physics 2026-01-30 Pulak Banerjee , Chinmoy Dey , M. C. Kumar , Vaibhav Pandey