Massive 3-loop ladder diagrams for quarkonic local operator matrix elements

DOI10.1016/j.nuclphysb.2012.06.007zbMath1262.81184arXiv1206.2252OpenAlexW2028118085MaRDI QIDQ1949614

Sebastian Klein, Jakob Ablinger, Fabian Wißbrock, Carsten Schneider, Johannes Blümlein, Alexander Hasselhuhn

Publication date: 8 May 2013

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.2252

Mathematics Subject Classification ID

Related Items (25)

Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals ⋮ Unitarity methods for Mellin moments of Drell-Yan cross sections ⋮ Analytic computing methods for precision calculations in quantum field theory ⋮ Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses ⋮ Iterated binomial sums and their associated iterated integrals ⋮ Iterated elliptic and hypergeometric integrals for Feynman diagrams ⋮ MPL -- a program for computations with iterated integrals on moduli spaces of curves of genus zero ⋮ Hypergeometric structures in Feynman integrals ⋮ 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 ⋮ The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension ⋮ Renormalization of twist-two operators in covariant gauge to three loops in QCD ⋮ The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) ⋮ The \(N_f C_F^3\) contribution to the non-singlet splitting function at four-loop order ⋮ Complete \(N_f^2\) contributions to four-loop pure-singlet splitting functions ⋮ The \(O({\alpha}_s^2)\) heavy quark corrections to charged current deep-inelastic scattering at large virtualities ⋮ The transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O({\alpha}_s^3)\) ⋮ The polarized transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O(\alpha_s^3)\) ⋮ Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms ⋮ The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element ⋮ Calculating massive 3-loop graphs for operator matrix elements by the method of hyperlogarithms ⋮ Large Scale Analytic Calculations in Quantum Field Theories ⋮ Harmonic Sums, Polylogarithms,Special Numbers, and Their Generalizations ⋮ Simplifying Multiple Sums in Difference Fields ⋮ Analytic Integration Methods in Quantum Field Theory: An Introduction ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

Uses Software

• HarmonicSums

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \(\gamma_5\) in higher-order QCD calculations and the NNLO evolution of the polarized valence distribution
• The multiple zeta value data mine
• The \(O(\alpha_s^3)\) massive operator matrix elements of \(O(n_f)\) for the structure function \(F_{2}(x,Q^{2})\) and transversity
• Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra
• Algebraic relations between harmonic sums and associated quantities.
• The third-order QCD corrections to deep-inelastic scattering by photon exchange
• Two-loop massive operator matrix elements for unpolarized heavy flavor production to \(O(\epsilon)\)
• 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
• Harmonic sums and polylogarithms generated by cyclotomic polynomials
• Structural Relations of Harmonic Sums and Mellin Transforms at Weight w=6
• FEYNMAN GRAPH POLYNOMIALS
• HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
• HARMONIC POLYLOGARITHMS
• Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
• MATAD: A program package for the computation of MAssive TADpoles
• The massless higher-loop two-point function

This page was built for publication: Massive 3-loop ladder diagrams for quarkonic local operator matrix elements