The polarized two-loop massive pure singlet Wilson coefficient for deep-inelastic scattering
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In this paper, the polarized massive two-loop pure singlet Wilson coefficient was calculated analytically in the whole kinematic region and the Wilson coefficient contains Kummer-elliptic integrals.About:
This article is published in Nuclear Physics.The article was published on 2019-04-18 and is currently open access. It has received 20 citations till now. The article focuses on the topics: Deep inelastic scattering.read more
Citations
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Journal ArticleDOI
The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements
A. Behring,Johannes Blümlein,A. De Freitas,A. Goedicke,A. Goedicke,S. Klein,A. von Manteuffel,Carsten Schneider,K. Schönwald +8 more
TL;DR: In this paper, the authors calculate all contributions √ T F to the polarized three-loop anomalous dimensions in the M-scheme using massive operator matrix elements and compare to results in the literature.
Journal ArticleDOI
The two-mass contribution to the three-loop polarized gluonic operator matrix element Agg,Q(3)
Jakob Ablinger,Johannes Blümlein,A. De Freitas,A. Goedicke,M. Saragnese,Carsten Schneider,K. Schönwald +6 more
TL;DR: In this article, the mass contributions to the polarized massive operator matrix element A g g, Q ( 3 ) at third order in the strong coupling constant α s in Quantum Chromodynamics analytically were computed.
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The $O(\alpha^2)$ Initial State QED Corrections to $e^+e^- \rightarrow \gamma^*/Z_0^*$
TL;DR: In this paper, the complete O(α 2 ) initial state radiation corrections to e + e − annihilation into a neutral vector boson in a direct analytic computation without any approximation is presented.
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Revisiting helicity parton distributions at a future electron-ion collider
TL;DR: In this paper, the impact of future electron ion collider inclusive and semi-inclusive polarized deep inelastic scattering data will have on the determination of the helicity parton distributions.
Journal ArticleDOI
The three-loop polarized pure singlet operator matrix element with two different masses
TL;DR: In this article, two-mass QCD contributions to the polarized pure singlet operator matrix element at three loop order in x-space were presented, which is relevant for calculating the polarized structure function g 1 ( x, Q 2 ) at O( α s 3 ) as well as for the matching relations in the variable flavor number scheme and the polarized heavy quark distribution functions at the same order.
References
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A Course of Modern Analysis
TL;DR: The volume now gives a somewhat exhaustive account of the various ramifications of the subject, which are set out in an attractive manner and should become indispensable, not only as a textbook for advanced students, but as a work of reference to those whose aim is to extend the knowledge of analysis.
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Asymptotic Freedom in Parton Language
Guido Altarelli,Giorgio Parisi +1 more
TL;DR: In this article, the main body of predictions of the theory for deep-inleastic scattering on either unpolarized or polarized targets is re-obtained by a method which only makes use of the simplest tree diagrams and is entirely phrased in parton language with no reference to the conventional operator formalism.
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Regularization and Renormalization of Gauge Fields
Gerard 't Hooft,M.J.G. Veltman +1 more
TL;DR: In this article, a new regularization and renormalization procedure for gauge theories is presented, which is particularly well suited for the treatment of gauge theories and is transparent when anomalies such as the Bell-Jackiw-Adler anomaly may occur.
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Generalized hypergeometric functions
TL;DR: The Generalized Gauss Function (GGF) as mentioned in this paper is a generalized version of the Gauss function that can be used to compute the generalized Gauss functions (GFG).
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LHAPDF6: parton density access in the LHC precision era
Andrew Buckley,James Ferrando,Stephen Lloyd,Karl Nordström,Ben Page,Martin Rüfenacht,Marek Schönherr,G. Watt +7 more
TL;DR: In this paper, the authors present the LHAPDF-6 library, a ground-up re-engineering of the PDFLIB/LHAPDF paradigm for PDF access which removes all limits on use of concurrent PDF sets, massively reduces static memory requirements, offers improved CPU performance, and fixes fundamental bugs in multi-set access to PDF metadata.