The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements (Q2087999)

scientific article; zbMATH DE number 7605218

Language	Label	Description	Also known as
English	The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements	scientific article; zbMATH DE number 7605218

Statements

instance of

scholarly article

0 references

title

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

0 references

0 references

0 references

0 references

0 references

Journal of High Energy Physics

0 references

publication date

21 October 2022

0 references

full work available at URL

https://arxiv.org/abs/2111.12401

0 references

zbMATH Keywords

perturbative QCD

0 references

renormalization group

0 references

describes a project that uses

0 references

0 references

0 references

0 references

0 references

0 references

QCD analysis of polarized deep inelastic scattering data

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

The \(\mathrm{N^3LO}\) scheme-invariant QCD evolution of the non-singlet structure functions \(F_2^{\mathrm{NS}}(x, Q^2)\) and \(g_1^{\mathrm{NS}}(x, Q^2)\)

0 references

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

0 references

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

0 references

The theory of quark and gluon interactions

0 references

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

0 references

Renormalization of the electroweak standard model to all orders

0 references

Facts of life with \(\gamma_5\)

0 references

Two-loop application of the Breitenlohner-Maison/'t Hooft-Veltman scheme with non-anticommuting \(\gamma_5\): full renormalization and symmetry-restoring counterterms in an abelian chiral gauge theory

0 references

The four-loop QCD \(\beta\)-function and anomalous dimensions

0 references

The five-loop beta function of Yang-Mills theory with fermions

0 references

The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge

0 references

Five-loop renormalisation of QCD in covariant gauges

0 references

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

0 references

Five-loop quark mass and field anomalous dimensions for a general gauge group

0 references

Automatic Feynman graph generation

0 references

GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS

0 references

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

0 references

Ore Polynomials in Sage

0 references

Symbolic summation assists combinatorics

0 references

Simplifying Multiple Sums in Difference Fields

0 references

HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS

0 references

HARMONIC POLYLOGARITHMS

0 references

Discovering and Proving Infinite Binomial Sums Identities

0 references

Harmonic sums and polylogarithms generated by cyclotomic polynomials

0 references

Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

0 references

Iterated binomial sums and their associated iterated integrals

0 references

Algebraic relations between harmonic sums and associated quantities.

0 references

The multiple zeta value data mine

0 references

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

0 references

High-precision calculation of multiloop Feynman integrals by difference equations

0 references

Summation in Finite Terms

0 references

On solutions of linear ordinary difference equations in their coefficient field

0 references

Q3416425

0 references

Solving parameterized linear difference equations in terms of indefinite nested sums and products

0 references

Degree bounds to find polynomial solutions of parameterized linear difference equations in \(\Pi\Sigma\)-fields

0 references

SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS

0 references

A Symbolic Summation Approach to Find Optimal Nested Sum Representations

0 references

Fast Algorithms for Refined Parameterized Telescoping in Difference Fields

0 references

A difference ring theory for symbolic summation

0 references

Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects

0 references

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

0 references

Calculation of the quark and gluon form factors to three loops in QCD

0 references

Analytic epsilon expansion of three-loop on-shell master integrals up to four-loop transcendentality weight

0 references

Numerical evaluation of two-dimensional harmonic polylogarithms

0 references

Numerical evaluation of multiple polylogarithms

0 references

Numerical implementation of harmonic polylogarithms to weight w = 8

0 references

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

0 references

Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations

0 references

Analytic continuation of Mellin transforms up to two-loop order

0 references

Structural Relations of Harmonic Sums and Mellin Transforms at Weight w=6

0 references

The three-loop polarized pure singlet operator matrix element with two different masses

0 references

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

0 references

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

0 references

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

0 references

Identifiers

DOI

10.1007/JHEP01(2022)193

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2087999