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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).read more
Citations
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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
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
Massive 3-loop Ladder Diagrams for Quarkonic Local Operator Matrix Elements
Jakob Ablinger,Johannes Blümlein,A. Hasselhuhn,Sebastian Klein,Carsten Schneider,F. Wißbrock +5 more
TL;DR: In this article, 3-loop diagrams of the ladder-type are computed directly for general values of the Mellin variable N using Appell-function representations and applying modern summation technologies provided by the package Sigma and the method of hyperlogarithms.
Journal ArticleDOI
Parameterized Telescoping Proves Algebraic Independence of Sums
TL;DR: It is shown that the non-existence of a creative telescoping solution, and more generally, of a parameterized telescoped solution, proves algebraic independence of certain types of sums, and summation-theory shows transcendence of whole classes of sums.
Journal ArticleDOI
Mellin moments of the next-to-next-to-leading order coefficient functions for the Drell–Yan process and hadronic Higgs-boson production
Johannes Blümlein,V. Ravindran +1 more
TL;DR: In this paper, the Mellin moments of the next-to-next-to leading order coefficient functions for the Drell-Yan and Higgs production cross sections are calculated in terms of multiple finite harmonic sums of maximal weight w = 4.
Journal ArticleDOI
Analytic Continuation of the Harmonic Sums for the 3-Loop Anomalous Dimensions
Johannes Blümlein,Sven-Olaf Moch +1 more
TL;DR: In this article, the analytic continuations to complex arguments of those basic Mellin transforms are used to construct the harmonic sums contributing to the 3-loop anomalous dimensions, which have a relative accuracy of better than 10 −7 in the range x ∈ [ 10 −6, 0.98 ].
Journal ArticleDOI
Next-to-leading order analysis of the deep inelastic R = σL/σT
TL;DR: In this paper, a next-to-leading order analysis in QCD of R -data is presented, which confirms previous evidence for a twist-4 contribution of the order of a pion mass.