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Related papers: Large-x resummation of off-diagonal deep-inelastic…

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In the collinear factorization of the form factor for the transition $\gamma^* \pi^0 \to \gamma$ the hard part contains double log terms as $\ln^2 x$ with $x$ as the momentum fraction of partons from 0 to 1. A simple exponentiation for…

High Energy Physics - Phenomenology · Physics 2009-11-13 F. Feng , J. P. Ma , Q. Wang

We consider the expansion of small-$x$ resummed DGLAP splitting functions at next-to-leading logarithmic (NLL) accuracy to four-loop order, namely next-to-next-to-next-to-leading order (N$^3$LO). From this, we extract the exact LL and NLL…

High Energy Physics - Phenomenology · Physics 2018-07-06 Marco Bonvini , Simone Marzani

High-energy factorization in QCD is investigated beyond leading order and its relationship to the factorization theorem of mass singularities is established to any collinear accuracy. Flavour non-singlet observables are shown to be regular…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Catani , F. Hautmann

Low-rank plus diagonal (LRPD) decompositions provide a powerful structural model for large covariance matrices, simultaneously capturing global shared factors and localized corrections that arise in covariance estimation, factor analysis,…

Numerical Analysis · Mathematics 2025-12-22 Kingsley Yeon , Mihai Anitescu

We investigate deep inelastic scattering off the polarized "neutron" using gauge/string duality. The "neutron" corresponds to a supergravity mode of the neutral dilatino. Through introducing the Pauli interaction term into the action in…

High Energy Physics - Phenomenology · Physics 2014-11-20 Jian-Hua Gao , Zong-Gang Mou

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 make progress towards resummation of power-suppressed logarithms in dijet event shapes such as thrust, which have the potential to improve high-precision fits for the value of the strong coupling constant. Using a newly developed…

High Energy Physics - Phenomenology · Physics 2018-08-30 Raymond Goerke , Matthew Inglis-Whalen

We derive a factorization theorem for the Higgs-boson production amplitude in gluon-gluon fusion induced by a light-quark loop, working at next-to-leading power in soft-collinear effective theory. The factorization is structurally similar…

High Energy Physics - Phenomenology · Physics 2023-07-26 Ze Long Liu , Matthias Neubert , Marvin Schnubel , Xing Wang

We present the two-loop corrected operator matrix elements calculated in N-dimensional regularization up to the finite terms which survive in the limit $\epsilon = N - 4 \to 0 $. The anomalous dimensions of the local operators have been…

High Energy Physics - Phenomenology · Physics 2009-10-31 Y. Matiounine , J. Smith , W. L. van Neerven

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 provide a first calculation of the complete next-to-leading order QCD corrections for heavy flavor contributions to the inclusive structure function $g_1$ in longitudinally polarized deep-inelastic scattering. The results are derived…

High Energy Physics - Phenomenology · Physics 2021-05-31 Felix Hekhorn , Marco Stratmann

We revisit the basic steps necessary to obtain next-to-leading-logarithmic accurate small-$x$ results for the DGLAP splitting functions, and their implementations within the HELL framework. We derive new analytical all-order results for the…

High Energy Physics - Phenomenology · Physics 2026-03-04 Marco Bonvini , Stefano Frixione , Giovanni Stagnitto

A modification of the saturation model of deep inelastic scattering at small x which includes the Altarelli-Parisi (DGLAP) evolution is presented. Significant improvement of the description of the structure function F_2 at large Q^2 is…

High Energy Physics - Phenomenology · Physics 2014-11-17 J. Bartels , K. Golec-Biernat , H. Kowalski

We shown the general approach for Q2 evolution of parton densities and fragmentation functions at low x based on the diagonalization. The diagonalization leads to the two components in the Q2 evolution, each of which contains a…

High Energy Physics - Phenomenology · Physics 2015-02-26 Anatoly Kotikov

We show that when the factorized cross section for heavy quarkonium production includes next-to-leading power (NLP) contributions associated with the production of the heavy quark pair at short distances, it naturally reproduces all high…

High Energy Physics - Phenomenology · Physics 2014-10-14 Yan-Qing Ma , Jian-Wei Qiu , George Sterman , Hong Zhang

We present the integrand decomposition of multiloop scattering amplitudes in parallel and orthogonal space-time dimensions, $d=d_\parallel+d_\perp$, being $d_\parallel$ the dimension of the parallel space spanned by the legs of the…

High Energy Physics - Phenomenology · Physics 2016-09-21 Pierpaolo Mastrolia , Tiziano Peraro , Amedeo Primo

We present the analytic computation of all the planar master integrals which contribute to the two-loop scattering amplitudes for Higgs$\to 3$ partons, with full heavy-quark mass dependence. These are relevant for the NNLO corrections to…

High Energy Physics - Phenomenology · Physics 2017-02-01 Roberto Bonciani , Vittorio Del Duca , Hjalte Frellesvig , Johannes M. Henn , Francesco Moriello , Vladimir A. Smirnov

We present all-order expressions for the leading double-logarithmic threshold contributions to the quark-gluon coefficient functions for inclusive Higgs-boson production in the heavy top-quark limit and for Drell-Yan lepton-pair production.…

High Energy Physics - Phenomenology · Physics 2015-06-22 N. A. Lo Presti , A. A. Almasy , A. Vogt

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

Predictions for the difference of proton-antiproton and proton-proton cross sections in the heavy quark production within LO DGLAP analysis together with the $ln^2x$ terms resummation are presented. An important role of the double…

High Energy Physics - Phenomenology · Physics 2014-11-17 Dorota Kotlorz , Andrzej Kotlorz