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We estimate the non-perturbative power-suppressed corrections to heavy flavour fragmentation and correlation functions in e^+e^- annihilation, using a model based on the analysis of one-loop Feynman graphs containing a massive gluon. This…

High Energy Physics - Phenomenology · Physics 2009-10-30 P. Nason , B. R. Webber

The small $x$ behavior of the flavor non-singlet $g_{1}$ structure function is analysed numerically by taking into account the all-order resummation of $\alpha_{s} \ln^{2}x $ terms. We include a part of the next-to-leading logarithmic…

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

We analyze feature learning in infinite-width neural networks trained with gradient flow through a self-consistent dynamical field theory. We construct a collection of deterministic dynamical order parameters which are inner-product kernels…

Machine Learning · Statistics 2022-10-05 Blake Bordelon , Cengiz Pehlevan

The general evolution kernels of the twist 2 light-ray operators for unpolarized and polarized deep inelastic scattering are calculated in ${\cal O}(\alpha_s)$. From these evolution kernels a series of special evolution equations can be…

High Energy Physics - Phenomenology · Physics 2009-10-30 J. Blümlein , B. Geyer , D. Robaschik

We compute the next-to-next-to-leading order (NNLO) contributions to the splitting functions governing the evolution of the unpolarized flavour-singlet parton densities in perturbative QCD. The exact expressions are presented in both…

High Energy Physics - Phenomenology · Physics 2010-04-05 A. Vogt , S. Moch , J. A. M. Vermaseren

The deep inelastic scattering data on the nucleon F_2 structure function, accumulated by BCDMS, SLAC and NMC collaborations in fixed-target experiments, are analyzed in the non-singlet approximation within the frameworks of both…

High Energy Physics - Phenomenology · Physics 2024-03-21 A. V. Kotikov , B. G. Shaikhatdenov , N. S. Korchagin , P. Zhang

We propose a more physical parameterization of the gluon distribution for global parton analyses of deep inelastic and related hard scattering data. In the new parameterization the gluon distribution at large x in the MSbar-scheme is driven…

High Energy Physics - Phenomenology · Physics 2011-03-23 A. D. Martin , R. G. Roberts , W. J. Stirling , R. S. Thorne

We introduce a perturbative model that accounts for the contribution of multi-partonic interactions to collider observables. A key feature of this multi-parton model is that cross sections are organised in terms of building blocks that are…

High Energy Physics - Phenomenology · Physics 2025-06-23 Zeno Capatti , Lucien Huber , Michael Ruf

Inclusive electron scattering data are presented for ^2H and Fe targets at an incident electron energy of 4.045 GeV for a range of momentum transfers from Q^2 = 1 to 7 (GeV/c)^2. Data were taken at Jefferson Laboratory for low values of…

We perform a next to leading order QCD global analysis of nuclear deep inelastic scattering and Drell-Yan data using the convolution approach to parameterize nuclear parton densities. We find both a significant improvement in the agreement…

High Energy Physics - Phenomenology · Physics 2008-11-26 D. de Florian , R. Sassot

Higher twist effects in the deeply inelastic scattering are studied. We start with a short review of the theoretical results on higher twists in QCD. Within the saturation model we perform a twist analysis of the nucleon structure functions…

High Energy Physics - Phenomenology · Physics 2010-05-07 Jochen Bartels , Krzysztof Golec-Biernat , Leszek Motyka

Deep Inelastic Scattering (DIS) experiments have provided important information on the structure of hadrons and ultimately the structure of matter and on the nature of interactions between leptons and hadrons, since the discovery of…

High Energy Physics - Phenomenology · Physics 2010-04-27 Begum Umme Jamil

Using realistic nuclear many-body wave functions in the collinear factorization framework, we evaluate nuclear Deep Inelastic Scattering at large Bjorken xB, where correlations are needed to exceed the kinematic limits of a single free…

Nuclear Theory · Physics 2007-05-23 Alberto Accardi , Jian-Wei Qiu , James P. Vary

Nuclear deep inelastic scattering is considered in the framework of a model in which the current operator explicitly satisfies Poincare invariance and current conservation. The results considerably differ from the standard ones at small…

High Energy Physics - Phenomenology · Physics 2009-10-28 Felix M. Lev

Gaussian processes are flexible function approximators, with inductive biases controlled by a covariance kernel. Learning the kernel is the key to representation learning and strong predictive performance. In this paper, we develop…

Machine Learning · Computer Science 2019-10-31 Gregory W. Benton , Wesley J. Maddox , Jayson P. Salkey , Julio Albinati , Andrew Gordon Wilson

We discuss bounds on the distribution and fragmentation functions that appear at leading order in deep inelastic 1-particle inclusive leptoproduction or in Drell-Yan processes. These bounds simply follow from positivity of the quark-hadron…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Bacchetta , M. Boglione , A. Henneman , P. J. Mulders

There has recently been surprising progress in understanding the spin and flavor dependence of deep inelastic structure functions in terms of the same physics needed in the simple quark models used for hadronic spectroscopy. However, the…

High Energy Physics - Phenomenology · Physics 2010-03-26 F. M. Steffens , A. W. Thomas

We have derived the coefficients of the highest three 1/x-enhanced small-x logarithms of all timelike splitting functions and the coefficient functions for the transverse fragmentation function in one-particle inclusive e^+e^- annihilation…

High Energy Physics - Phenomenology · Physics 2015-05-30 A. Vogt

In the asymptotic limit $Q^2 \gg m^2$, the non-power corrections to the heavy flavour Wilson coefficients in deep--inelastic scattering are given in terms of massless Wilson coeffcients and massive operator matrix elements. We start…

High Energy Physics - Phenomenology · Physics 2008-12-19 I. Bierenbaum , J. Blümlein , S. Klein

We report on a recently completed, first calculation of the full next-to-leading order QCD corrections for heavy flavor contributions to the inclusive structure function $g_1$ in longitudinally polarized deep-inelastic scattering. All…

High Energy Physics - Phenomenology · Physics 2018-12-03 Felix Hekhorn , Marco Stratmann
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