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Neerven, J. M. A. M. van

doi:10.1023/a:1009772704484

Cited by 33 publications

(45 citation statements)

References 6 publications

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“…Deep-inelastic scattering is a well defined process theoretically [1,52], and has recently been calculated to NNLO [31]. The determination of the strong coupling constant in DIS requires the simultaneous determination of the gluon distribution, xg, and the quark distributions.…”

Section: Strong Coupling Constantmentioning

confidence: 99%

Deep inelastic electron-nucleon scattering at the LHC

Klein²,

et al. 2006

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The physics, and a design, of a Large Hadron Electron Collider (LHeC) are sketched. With high luminosity, 10 33 cm −2 s −1 , and high energy, √ s = 1.4 TeV, such a collider can be built in which a 70 GeV electron (positron) beam in the LHC tunnel is in collision with one of the LHC hadron beams and which operates simultaneously with the LHC. The LHeC makes possible deep-inelastic lepton-hadron (ep, eD and eA) scattering for momentum transfers Q 2 beyond 10 6 GeV 2 and for Bjorken x down to the 10 −6 . New sensitivity to the existence of new states of matter, primarily in the lepton-quark sector and in dense partonic systems, is achieved. The precision possible with an electron-hadron experiment brings in addition crucial accuracy in the determination of hadron structure, as described in Quantum Chromodynamics, and of parton dynamics at the TeV energy scale. The LHeC thus complements the proton-proton and ion programmes, adds substantial new discovery potential to them, and is important for a full understanding of physics in the LHC energy range.

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Section: Strong Coupling Constantmentioning

confidence: 99%

Deep inelastic electron-nucleon scattering at the LHC

Klein²,

et al. 2006

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“…In order to show that the adapted simple functions are dense, one can adapt one of several proofs that exist for the scalar valued case (see, e.g., [13, p.27-28]). We prefer, instead, an elegant translation argument presented by J. van Neerven [12]. First, note that by definition of square Bochner integrability (see [5,6]), for every f ∈ L 2 ([0, T ]; L 2 (Ω; H)) and ε > 0, there are measurable sets A 1 , .…”

Section: The Construction Of the Stochastic Integralmentioning

confidence: 99%

A Series Approach to Stochastic Differential Equations with Infinite Dimensional Noise

Gaans

2005

Integr. equ. oper. theory

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This paper considers semilinear stochastic differential equations in Hilbert spaces with Lipschitz nonlinearities and with the noise terms driven by sequences of independent scalar Wiener processes (Brownian motions). The interpretation of such equations requires a stochastic integral. By means of a series of Itô integrals, an elementary and direct construction of a Hilbert space valued stochastic integral with respect to a sequence of independent scalar Wiener processes is given. As an application, existence and strong and weak uniqueness for the stochastic differential equation are shown by exploiting the series construction of the integral.

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“…The problem of how to treat heavy quark contributions in the deep inelastic structure functions has been widely discussed, see for example [28]. It has been brought into focus recently by the very precise F 2 (x, Q 2 ) data from HERA [13].…”

Section: A the Longitudinal Structure Functionmentioning

confidence: 99%

“…In the other approach [30] the charm is treated similarly to a massless quark and its contribution is described by a parton density in a hadron. Here our goal is to obtain the shadowing corrections to the charm structure function in the eikonal approach, without considering in detail the question of how to treat heavy quark contributions [28]. However, some comments are important.…”

Section: A the Longitudinal Structure Functionmentioning

confidence: 99%

Determination of smallxshadowing corrections at DESY HERA

Filho

Gonçalves

1999

Phys. Rev. D

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The recent F 2 data can be described using the DGLAP evolution equations with an appropriate choice of input distributions and the choice of the starting scale for the Q 2 evolution. We demonstrate in this paper that we cannot conclude that there are no significant shadowing corrections at HERA kinematic region using F 2 data only. In this paper we calculate the shadowing corrections to the longitudinal structure function F L (x, Q 2 ) and to the charm component of the proton structure function F c 2 (x, Q 2 ) at the HERA kinematic region using an eikonal approach. We demonstrate that the shadowing corrections to these observables are very large and that the charm production is strongly modified at small-x. Our results agree with the recent few H1 data.12.38.Aw; 12.38.Bx; 13.90.+iTypeset using REVT E X †

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Untitled

Cited by 33 publications

References 6 publications

Deep inelastic electron-nucleon scattering at the LHC

Deep inelastic electron-nucleon scattering at the LHC

A Series Approach to Stochastic Differential Equations with Infinite Dimensional Noise

Determination of smallxshadowing corrections at DESY HERA

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