The two-loop massless off-shell QCD operator matrix elements to finite terms (Q2144901)

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scientific article

Language	Label	Description	Also known as
English	The two-loop massless off-shell QCD operator matrix elements to finite terms	scientific article

Statements

scholarly article

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The two-loop massless off-shell QCD operator matrix elements to finite terms (English)

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Johannes Blümlein

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Carsten Schneider

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publication date

17 June 2022

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full work available at URL

https://arxiv.org/abs/2202.03216

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describes a project that uses

EvaluateMultiSums

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MaRDI profile type

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The three-loop splitting functions in QCD: the non-singlet case

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The three-loop splitting functions in QCD: the singlet case

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The three-loop splitting functions in QCD: the helicity-dependent case

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The \(O(\alpha_s^3)\) massive operator matrix elements of \(O(n_f)\) for the structure function \(F_{2}(x,Q^{2})\) and transversity

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The transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O({\alpha}_s^3)\)

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The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function \(\mathrm{F}_2(\mathrm{x, Q}^{\mathrm{2}})\) and transversity

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The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension

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The three-loop splitting functions \(P_{q g}^{(2)}\) and \(P_{g g}^{(2, \operatorname{N}_{\operatorname{F}})}\)

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The three-loop single mass polarized pure singlet operator matrix element

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The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements

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The two-mass contribution to the three-loop polarized gluonic operator matrix element \(A_{gg, Q}^{(3)}\)

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

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Third-order QCD corrections to the charged-current structure function \(F_{3}\)

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The \(O({\alpha}_s^2)\) heavy quark corrections to charged current deep-inelastic scattering at large virtualities

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The 3-loop non-singlet heavy flavor contributions to the structure function \(g_1(x, Q^2)\) at large momentum transfer

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The complete \(O(\alpha_s^2)\) non-singlet heavy flavor corrections to the structure functions \(g_{1, 2}^{e p}(x, Q^2)\), \(F_{1, 2, L}^{e p}(x, Q^2)\), \(F_{1, 2, 3}^{\nu(\overline{\nu})}(x, Q^2)\) and the associated sum rules

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The unpolarized two-loop massive pure singlet Wilson coefficients for deep-inelastic scattering

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The polarized two-loop massive pure singlet Wilson coefficient for deep-inelastic scattering

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Mellin moments of the \(O(\alpha_s^3)\) heavy flavor contributions to unpolarized deep-inelastic scattering at \(Q^{2}\gg m^{2}\) and anomalous dimensions

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The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements

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The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements

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Automatic Feynman graph generation

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Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms

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Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra

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Automated solution of first order factorizable systems of differential equations in one variable

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The method of arbitrarily large moments to calculate single scale processes in quantum field theory

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Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra

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Ore Polynomials in Sage

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Summation in Finite Terms

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SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS

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A Symbolic Summation Approach to Find Optimal Nested Sum Representations

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Parameterized telescoping proves algebraic independence of sums

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Computer algebra and polynomials. Applications of algebra and number theory

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On rational and hypergeometric solutions of linear ordinary difference equations in \(\Pi\Sigma^\ast\)-field extensions

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Symbolic summation assists combinatorics

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Simplifying Multiple Sums in Difference Fields

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Harmonic sums and polylogarithms generated by cyclotomic polynomials

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HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS

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Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations

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Algebraic relations between harmonic sums and associated quantities.

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Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

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Iterated binomial sums and their associated iterated integrals

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Structural relations of harmonic sums and Mellin transforms up to weight \(w=5\)

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HARMONIC POLYLOGARITHMS

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Nielsen’s Generalized Polylogarithms

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Iterated elliptic and hypergeometric integrals for Feynman diagrams

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.NUCLPHYSB.2022.115794

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Sitelinks

Mathematics(1 entry)

mardi Publication:2144901

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