The inverse Mellin transform via analytic continuation (Q6176343)

scientific article; zbMATH DE number 7716768

Language	Label	Description	Also known as
English	The inverse Mellin transform via analytic continuation	scientific article; zbMATH DE number 7716768

Statements

instance of

scholarly article

0 references

title

The inverse Mellin transform via analytic continuation (English)

0 references

0 references

0 references

0 references

Journal of High Energy Physics

0 references

publication date

25 July 2023

0 references

full work available at URL

https://arxiv.org/abs/2303.05943

0 references

zbMATH Keywords

higher-order perturbative calculations

0 references

parton distributions

0 references

quark masses

0 references

MaRDI profile type

MaRDI publication profile

0 references

0 references

0 references

0 references

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

0 references

The \(O(\alpha_s^3n_fT_F^2C_{A, F})\) contributions to the gluonic massive operator matrix elements

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

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

0 references

Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses

0 references

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

0 references

The two-mass contribution to the three-loop pure singlet operator matrix element

0 references

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

0 references

The massless three-loop Wilson coefficients for the deep-inelastic structure functions \(F_2\), \(F_L\), \(xF_3\) and \(g_1\)

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

Iterated elliptic and hypergeometric integrals for Feynman diagrams

0 references

Applications of the method of impact parameter in collisions

0 references

Q5759975

0 references

HARMONIC POLYLOGARITHMS

0 references

Special values of multiple polylogarithms

0 references

Nested sums, expansion of transcendental functions, and multiscale multiloop integrals

0 references

Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

0 references

Harmonic sums and polylogarithms generated by cyclotomic polynomials

0 references

Iterated binomial sums and their associated iterated integrals

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

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

0 references

HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS

0 references

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

0 references

Current algebras and Wess-Zumino model in two dimensions

0 references

Q3351551

0 references

Q4317887

0 references

Q5810981

0 references

Über Eigenschaften von Ausbreitungsfunktionen und Renormierungskonstanten quantisierter Felder

0 references

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

0 references

Two-loop QED operator matrix elements with massive external fermion lines

0 references

Q5567198

0 references

HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS

0 references

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

0 references

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

0 references

\texttt{Reduze} -- Feynman integral reduction in \texttt{C++}

0 references

Q3253375

0 references

Q3916824

0 references

On Nielsen's generalized polylogarithms and their numerical calculation

0 references

On the numerical calculation of polylogarithms

0 references

Nielsen’s Generalized Polylogarithms

0 references

The algebra of multiple harmonic series

0 references

Algebraic relations between harmonic sums and associated quantities.

0 references

0 references

0 references

0 references

0 references

0 references

The \(O(\alpha^2)\) initial state QED corrections to \(e^+ e^- \to \gamma^\ast / Z_0^\ast \)

0 references

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

0 references

Discovering and Proving Infinite Binomial Sums Identities

0 references

Discovering and Proving Infinite Pochhammer Sum Identities

0 references

The multiple zeta value data mine

0 references

New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams

0 references

Massive Feynman diagrams and inverse binomial sums

0 references

Expansion around half-integer values, binomial sums, and inverse binomial sums

0 references

A \(K3\) in \(\phi^{4}\)

0 references

Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives

0 references

Bananas of equal mass: any loop, any order in the dimensional regularisation parameter

0 references

Analytic computing methods for precision calculations in quantum field theory

0 references

Complexity estimates for two uncoupling algorithms

0 references

Q4790565

0 references

Factorization of differential operators with rational functions coefficients

0 references

0 references

0 references

0 references

0 references

Algebras of Iterated Path Integrals and Fundamental Groups

0 references

Multiple polylogarithms, cyclotomy and modular complexes

0 references

Numerical evaluation of harmonic polylogarithms

0 references

HPL, a Mathematica implementation of the harmonic polylogarithms

0 references

CHAPLIN -- complex harmonic polylogarithms in Fortran

0 references

\texttt{handyG} -- rapid numerical evaluation of generalised polylogarithms in Fortran

0 references

Numerical evaluation of multiple polylogarithms

0 references

Numerical implementation of harmonic polylogarithms to weight w = 8

0 references

Rationalizing roots: an algorithmic approach

0 references

RationalizeRoots: software package for the rationalization of square roots

0 references

Subleading logarithmic QED initial state corrections to \(e^+ e^- \to \gamma^\ast / Z^{0^\ast}\) to \(O(\alpha^6 L^5)\)

0 references

Q4141415

0 references

Computing hypergeometric solutions of second order linear differential equations using quotients of formal solutions and integral bases

0 references

Moments of heavy quark correlators with two masses: Exact mass dependence to three loops

0 references

Three-loop contributions to the \(\rho\) parameter and iterated integrals of modular forms

0 references

Fourth order spectral functions for the electron propagator

0 references

The elliptic dilogarithm for the sunset graph

0 references

The iterated structure of the all-order result for the two-loop sunrise integral

0 references

Differential equations and dispersion relations for Feynman amplitudes. The two-loop massive sunrise and the kite integral

0 references

Feynman integrals and iterated integrals of modular forms

0 references

Generalization of the Euclidean algorithm for real numbers to all dimensions higher than two

0 references

Identifiers

arXiv ID

2303.05943

0 references

DOI

10.1007/jhep06(2023)062

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6176343