The three-loop unpolarized and polarized non-singlet anomalous dimensions from off shell operator matrix elements (Q2233951)

scientific article

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

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instance of

scholarly article

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title

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

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12 October 2021

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full work available at URL

https://arxiv.org/abs/2107.06267

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describes a project that uses

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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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On \(\gamma_5\) in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution

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Large-\(n_{f}\) contributions to the four-loop splitting functions in QCD

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

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

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The theory of quark and gluon interactions

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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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Four-loop renormalization of QCD: full set of renormalization constants and anomalous dimensions

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Small distance behaviour in field theory and power counting

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Automatic Feynman graph generation

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GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS

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

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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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The multiple zeta value data mine

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Simplifying Multiple Sums in Difference Fields

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HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS

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HARMONIC POLYLOGARITHMS

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Harmonic sums and polylogarithms generated by cyclotomic polynomials

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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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Algebraic relations between harmonic sums and associated quantities.

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Three-loop anomalous dimension of the non-singlet transversity operator in QCD

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published in

Nuclear Physics B

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.NUCLPHYSB.2021.115542

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Mathematics(1 entry)

mardi Publication:2233951