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3-loop contributions to heavy flavor Wilson coefficients of neutral and charged current DIS

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The article was published on 2014-01-13 and is currently open access. It has received 21 citations till now. The article focuses on the topics: Charged current & Loop (topology).

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Proceedings ArticleDOI

Parton distributions for the LHC

TL;DR: In this paper, a preliminary set of updated NLO parton distributions and their uncertainties determined from CCFR and NuTeV dimuon cross sections are presented, along with additional jet data from HERA and the Tevatron.
Journal ArticleDOI

Approximation theory and methods, by M. J. D. Powell. Pp 339. £25 (hardcover), £8·50 (paperback). 1981. ISBN 0-521-22472-1/29514-9 (Cambridge University Press)

TL;DR: In this article, the authors consider the problem of finding the best approximation operator for a given function, and the uniqueness of best approximations and the existence of best approximation operators.
Book ChapterDOI

A Schematic Model of Baryons and Mesons

TL;DR: In this article, the authors assume that the strong interactions of baryons and mesons are correctly described in terms of the broken "eightfold way", and they are tempted to look for some fundamental explanation of the situation.

The renormalization of the axial anomaly in dimensional regularization

S. A. Larin
TL;DR: In this article, the prescription for the γ5 matrix within dimensional regularization in multiloop calculations is elaborated and the three-loop anomalous dimension of the singlet axial current is calculated.
References
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Journal ArticleDOI

Nested sums, expansion of transcendental functions and multiscale multiloop integrals

TL;DR: In this article, the authors give the general solution of a two-loop integral, the so-called C-topology, in terms of multiple nested sums and discuss some important properties of nested sums, in particular they satisfy a Hopf algebra.
Journal ArticleDOI

Sum Rules for Spin Dependent Electroproduction: Test of Relativistic Constituent Quarks

TL;DR: In this article, an infinite set of approximate sum rules, reducing two kinematically independent structure functions to a single one, are proposed by a combination of general short-distance analysis and arguments about matrix elements.
Journal ArticleDOI

Harmonic sums and Mellin transforms up to two-loop order

TL;DR: In this article, a systematic study on the finite harmonic sums up to level four was performed, and the authors derived algebraic relations connecting these sums to obtain representations based on a reduced set of basic functions.
Journal ArticleDOI

The Multiple Zeta Value data mine

TL;DR: The “pushdown” mechanism, whereby the ornate enumeration of primitive MZVs, by weight and depth, is reconciled with the far simpler enumerations of primitive Euler sums is elucidated.
Journal ArticleDOI

The third-order QCD corrections to deep-inelastic scattering by photon exchange

TL;DR: In this paper, the authors compute the full three-loop coefficient functions for the structure functions F2 and FL in massless perturbative QCD and show that the expansion in powers of αs is very stable, for photon virtualities Q2≫1GeV2, over the full x-range accessible to fixed-target and collider measurements.