The heavy fermion contributions to the massive three loop form factors
From MaRDI portal
Publication:2186387
DOI10.1016/j.nuclphysb.2019.114751zbMath1448.81470arXiv1908.00357OpenAlexW2965283380MaRDI QIDQ2186387
Publication date: 9 June 2020
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.00357
Nuclear physics (81V35) Renormalization group methods applied to problems in quantum field theory (81T17) Operator algebra methods applied to problems in quantum theory (81R15) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)
Related Items (8)
Three loop QCD corrections to the heavy-light form factors in the color-planar limit ⋮ Two-loop vertices with vacuum polarization insertion ⋮ Automated solution of first order factorizable systems of differential equations in one variable ⋮ Collider physics at the precision frontier ⋮ The three-loop singlet contribution to the massless axial-vector quark form factor ⋮ The complete singlet contribution to the massless quark form factor at three loops in QCD ⋮ Term Algebras, Canonical Representations and Difference Ring Theory for Symbolic Summation ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals
Uses Software
Cites Work
- Unnamed Item
- Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra
- Multilingual Sage
- A symbolic summation approach to Feynman integral calculus
- Low- and high-energy expansion of heavy-quark correlators at next-to-next-to-leading order
- A difference ring theory for symbolic summation
- The multiple zeta value data mine
- Parameterized telescoping proves algebraic independence of sums
- Determining the closed forms of the anomalous dimensions and Wilson coefficients from Mellin moments by means of computer algebra
- Degree bounds to find polynomial solutions of parameterized linear difference equations in \(\Pi\Sigma\)-fields
- Massive Feynman diagrams and inverse binomial sums
- Two-loop corrections to Higgs boson production
- Two-loop QCD corrections to the heavy quark form factors: the vector contributions
- The four-loop QCD \(\beta\)-function and anomalous dimensions
- Two-loop QCD corrections to the heavy quark form factors: axial vector contributions
- On Sudakov and soft resummations in QCD
- Fermionic corrections to the three-loop matching coefficient of the non-relativistic vector current
- A refined difference field theory for symbolic summation
- 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
- On solutions of linear ordinary difference equations in their coefficient field
- The five-loop beta function of Yang-Mills theory with fermions
- Summation theory. II: Characterizations of \(R {\Pi}{\Sigma}^{\ast}\)-extensions and algorithmic aspects
- Automated solution of first order factorizable systems of differential equations in one variable
- Automatic Feynman graph generation
- Multi-loop amplitudes and resummation
- Complete three-loop QCD corrections to the decay \(H \to \gamma \gamma\)
- Computer algebra and polynomials. Applications of algebra and number theory
- Relation between the pole and the minimally subtracted mass in dimensional regularization and dimensional reduction to three-loop order
- The method of arbitrarily large moments to calculate single scale processes in quantum field theory
- HIGH-PRECISION CALCULATION OF MULTILOOP FEYNMAN INTEGRALS BY DIFFERENCE EQUATIONS
- Ore Polynomials in Sage
- Harmonic sums and polylogarithms generated by cyclotomic polynomials
- Iterated binomial sums and their associated iterated integrals
- A Symbolic Summation Approach to Find Optimal Nested Sum Representations
- SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS
- Summation in Finite Terms
- GROUP THEORY FACTORS FOR FEYNMAN DIAGRAMS
- HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
- HARMONIC POLYLOGARITHMS
- Analytic computing methods for precision calculations in quantum field theory
- Iterated elliptic and hypergeometric integrals for Feynman diagrams
- Nested sums, expansion of transcendental functions, and multiscale multiloop integrals
- Simplifying Multiple Sums in Difference Fields
- Solving parameterized linear difference equations in terms of indefinite nested sums and products
- Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
- MATAD: A program package for the computation of MAssive TADpoles
- Low-energy moments of non-diagonal quark current correlators at four loops
This page was built for publication: The heavy fermion contributions to the massive three loop form factors
