Computer Algebra and Polynomials

doi:10.1007/978-3-319-15081-9

Cited by 8 publications

(1 citation statement)

References 77 publications

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“…We determine recurrence relations for the corresponding color and ζ-value projections [135] of the Wilson coefficients using the method of arbitrary large moments [131] implemented within the package SolveCoupledSystem [136]. This is done by using the method of guessing [137,138] and its implementation in Sage [139,140]. For the calculation of the necessary initial values for the difference equations we use the results given in [130,[141][142][143][144][145].…”

Section: Jhep11(2022)156mentioning

confidence: 99%

The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1

Blümlein

Marquard

Schneider

et al. 2022

J. High Energ. Phys.

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We calculate the massless unpolarized Wilson coefficients for deeply inelastic scattering for the structure functions F2(x, Q2), FL(x, Q2), xF3(x, Q2) in the $$ \overline{\textrm{MS}} $$ MS ¯ scheme and the polarized Wilson coefficients of the structure function g1(x, Q2) in the Larin scheme up to three-loop order in QCD in a fully automated way based on the method of arbitrary high Mellin moments. We work in the Larin scheme in the case of contributing axial-vector couplings or polarized nucleons. For the unpolarized structure functions we compare to results given in the literature. The polarized three-loop Wilson coefficients are calculated for the first time. As a by-product we also obtain the quarkonic three-loop anomalous dimensions from the O(1/ε) terms of the unrenormalized forward Compton amplitude. Expansions for small and large values of the Bjorken variable x are provided.

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Section: Jhep11(2022)156mentioning

confidence: 99%

The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1

Blümlein

Marquard

Schneider

et al. 2022

J. High Energ. Phys.

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Linear Differential Equations as a Data Structure

Salvy

2019

Found Comput Math

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A. A lot of information concerning solutions of linear differential equations can be computed directly from the equation. It is therefore natural to consider these equations as a data-structure, from which mathematical properties can be computed. A variety of algorithms has thus been designed in recent years that do not aim at "solving", but at computing with this representation. Many of these results are surveyed here.1991 Mathematics Subject Classification. 68W30 and 33F10.

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3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

Bluemlein¹

2016

Proceedings of the European Physical Society Conference on High Energy Physics — PoS(EPS-HEP2015)

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Computer Algebra and Polynomials

Cited by 8 publications

References 77 publications

The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1

The massless three-loop Wilson coefficients for the deep-inelastic structure functions F2, FL, xF3 and g1

Linear Differential Equations as a Data Structure

3-Loop Corrections to the Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

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