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In the present article, a new method for the evaluation of fractional derivatives of arbitrary real order is proposed. Numerous but inequivalent formulations have been given in the past. Some of them exhibit unsatisfactory properties such…

泛函分析 · 数学 2021-05-04 Cyril Belardinelli

We calculate the fragmentation function for a light quark to decay into a lepton pair to leading order in the QCD coupling constant. In the formal definition of the fragmentation function, a QED phase must be included in the eikonal factor…

高能物理 - 唯象学 · 物理学 2009-11-07 Eric Braaten , Jungil Lee

We introduce the chiral-even and chiral-odd quark distributions as forward matrix elements of related bilocal quark operators with well-defined (geometric) twist. Thereby, we achieve a Lorentz invariant classification of these distributions…

高能物理 - 唯象学 · 物理学 2009-10-31 Bodo Geyer , Markus Lazar

We investigate one-particle semi-inclusive processes in lepton-hadron scattering. In unpolarized scattering order $Q^{-1}$ corrections appear only when transverse momenta are detected. We consider the twist two and three matrix elements and…

高能物理 - 唯象学 · 物理学 2009-12-15 J. Levelt , P. J. Mulders

A review of theoretical models of diffractive structure functions in deep inelastic scattering (DIS) is presented with a view to highlighting distinctive features, that may be distinguished experimentally. In particular, predictions for the…

高能物理 - 唯象学 · 物理学 2007-05-23 M. F. McDermott , G. Briskin

It is shown that the azimuthal dependence of the distribution of hadrons in a quark jet is a probe of the transverse spin of the quark initiating the jet. This results in a new spin-dependent fragmentation function that acts at the twist-2…

高能物理 - 唯象学 · 物理学 2009-10-22 John Collins

This article is an introduction to parton distribution functions and their generalizations which describe the quark and gluon structure of hadrons, and can be measured in various high-energy scattering processes. We provide the theoretical…

高能物理 - 唯象学 · 物理学 2026-01-23 Cédric Lorcé , A. Metz , B. Pasquini , P. Schweitzer

The common view that structure functions measured in deep inelastic lepton scattering are determined by the probability of finding quarks and gluons in the target is not correct in gauge theory. We show that gluon exchange between the fast,…

高能物理 - 唯象学 · 物理学 2009-09-11 Stanley J. Brodsky , Paul Hoyer , Nils Marchal , Stephane Peigne , Francesco Sannino

We investigate the unpolarized pion and kaon fragmentation functions, employing the nonlocal chiral-quark model, which manifests the nonlocal interactions between the quarks and pseudoscalar mesons, considering the explicit…

高能物理 - 唯象学 · 物理学 2015-06-04 Seung-il Nam , Chung-Wen Kao

Quark-hadron duality is studied in a systematic way for both the unpolarized and polarized structure functions, by taking into account all the available data in the resonance region.In both cases, a detailed perturbative QCD based analysis…

高能物理 - 唯象学 · 物理学 2009-11-11 A. Fantoni , N. Bianchi , S. Liuti

Transverse momentum dependent parton distribution functions, also abbreviated as TMDs, offer a three-dimensional picture of hadrons by taking the intrinsic transverse momentum of the parton into consideration. Hence, they are very important…

高能物理 - 唯象学 · 物理学 2021-12-03 Xiao Liu , Wenjuan Mao , Xiaoyu Wang , Bo-Qiang Ma

The target fragmentation region of semi-inclusive deep inelastic scattering is described at leading twist, taking beam and target polarizations into account. The formalism of polarized and transverse-momentum dependent fracture functions is…

高能物理 - 唯象学 · 物理学 2011-04-20 Mauro Anselmino , Vincenzo Barone , Aram Kotzinian

We propose and analyze estimators for statistical functionals of one or more distributions under nonparametric assumptions. Our estimators are based on the theory of influence functions, which appear in the semiparametric statistics…

We introduce a broad class of fractal jet observables that recursively probe the collective properties of hadrons produced in jet fragmentation. To describe these collinear-unsafe observables, we generalize the formalism of fragmentation…

高能物理 - 唯象学 · 物理学 2017-08-02 Benjamin T. Elder , Massimiliano Procura , Jesse Thaler , Wouter J. Waalewijn , Kevin Zhou

We study the angular distributions of the splitting functions for processes for which a parton splits into three partons. Unlike the case of coherent branching, we find that both in vacuum and in the presence of the dense QCD matter, such…

高能物理 - 唯象学 · 物理学 2015-06-16 Grigory Ovanesyan

In the quantum statistical parton distributions approach proposed more than one decade ago to describe the parton structure, new properties are now understood, in particular, the relation between quarks and antiquarks which leads to very…

高能物理 - 唯象学 · 物理学 2018-12-05 Claude Bourrely

The stationary distribution of a fully chaotic system typically exhibits a fractal structure, which dramatically changes if the dynamical equations are even slightly modified. Perturbative techniques are not expected to work in this…

混沌动力学 · 物理学 2017-06-26 Jeffrey M. Heninger , Domenico Lippolis , Predrag Cvitanovic

Distributed aggregation allows the derivation of a given global aggregate property from many individual local values in nodes of an interconnected network system. Simple aggregates such as minima/maxima, counts, sums and averages have been…

分布式、并行与集群计算 · 计算机科学 2012-04-09 Miguel Borges , Paulo Jesus , Carlos Baquero , Paulo Sérgio Almeida

In surface diffusion, one of the key observables is the so-called intermediate scattering function which is measured directly from the surface technique called Helium spin echo. In this work, we show that this function can be seen as a…

统计力学 · 物理学 2026-04-17 E. E. Torres-Miyares , S. Miret-Artés

Polarized inclusive deep-inelastic diffractive scattering is dealt with in a quantum field theoretic approach. The process can be described in the general framework of non-forward scattering processes using the light-cone expansion in the…

高能物理 - 唯象学 · 物理学 2009-11-07 J. Blümlein , D. Robaschik