Master integrals for four-loop massless propagators up to weight twelve
From MaRDI portal
Publication:450083
DOI10.1016/j.nuclphysb.2011.11.005zbMath1246.81057arXiv1108.0732OpenAlexW2470371128MaRDI QIDQ450083
Vladimir A. Smirnov, Roman N. Lee, Alexander V. Smirnov
Publication date: 3 September 2012
Published in: Nuclear Physics. B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1108.0732
Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Kaluza-Klein and other higher-dimensional theories (83E15)
Related Items
Completing the hadronic Higgs boson decay at order \(\alpha_s^4\), Six loop analytical calculation of the field anomalous dimension and the critical exponent \(\eta\) in \(\operatorname{O}(n)\)-symmetric \(\phi^{4}\) model, FIRE5: a C++ implementation of Feynman integral REduction, A planar four-loop form factor and cusp anomalous dimension in QCD, Dimensionally regularized Boltzmann-Gibbs statistical mechanics and two-body Newton's gravitation, Newton's gravitation-force's classical average proof of a Verlinde's conjecture, Dimensionally regularized Tsallis' statistical mechanics and two-body Newton's gravitation, The structure of generic anomalous dimensions and no-\(\pi\) theorem for massless propagators, Five-loop quark mass and field anomalous dimensions for a general gauge group, Evaluating `elliptic' master integrals at special kinematic values: using differential equations and their solutions via expansions near singular points, Introducing SummerTime: a package for high-precision computation of sums appearing in DRA method, FIESTA4: optimized Feynman integral calculations with GPU support, \textsc{Forcer}, a \textsc{Form} program for the parametric reduction of four-loop massless propagator diagrams, Two spinning Konishi operators at three loops., Protected and uniformly transcendental, Recursive computation of Feynman periods, On the Landau-Khalatnikov-Fradkin transformation in quenched \(\text{QED}_3\), Non-planar data of \(\mathcal{N} = 4\) SYM, Five-loop fermion anomalous dimension for a general gauge group from four-loop massless propagators, Renormalization of twist-two operators in covariant gauge to three loops in QCD, An observation on Feynman diagrams with axial anomalous subgraphs in dimensional regularization with an anticommuting \(\gamma_5\), Complete \(N_f^2\) contributions to four-loop pure-singlet splitting functions, Evaluating Feynman integrals by the hypergeometry, Recursion-free solution for two-loop vacuum integrals with ``collinear masses, On the analytic computation of massless propagators in dimensional regularization, Five-loop Konishi in \(\mathcal{N}=4\) SYM, Critical exponents from five-loop scalar theory renormalization near six-dimensions, Some Open Problems on Feynman Periods, Renormalization and non-renormalization of scalar EFTs at higher orders, Four-loop QCD propagators and vertices with one vanishing external momentum, The dimensional recurrence and analyticity method for multicomponent master integrals: using unitarity cuts to construct homogeneous solutions, Leading singularities and off-shell conformal integrals, FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions, Three-loop vertex integrals at symmetric point, Planar master integrals for four-loop form factors, The four-loop \(\mathcal{N} = 4\) SYM Sudakov form factor, Renormalization of the axial current operator in dimensional regularization at four-loop in QCD, Renormalization of gluonic leading-twist operators in covariant gauges, Adler function, Bjorken sum rule and Crewther-Broadhurst-Kataev relation with generic fermion representations at order \(O(\alpha_s^4)\), Critical behavior of isotropic systems with strong dipole-dipole interaction: three-loop study, Calculating Four-Loop Corrections in QCD, Some Steps Towards Improving IBP Calculations and Related Topics
Uses Software
Cites Work
- Unnamed Item
- \texttt{FIESTA 2}: parallelizeable multiloop numerical calculations
- Feynman integral evaluation by a sector decomposition approach (FIESTA)
- The multiple zeta value data mine
- Space-time dimensionality \(\mathcal D\) as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to \(\mathcal D\)
- Four-loop massless propagators: a numerical evaluation of all master integrals
- Four loop massless propagators: an algebraic evaluation of all master integrals
- HPL, a Mathematica implementation of the harmonic polylogarithms
- Multiple polylogarithms, cyclotomy and modular complexes
- Connection between Feynman integrals having different values of the space-time dimension
- Non-planar massless two-loop Feynman diagrams with four on-shell legs
- The massless higher-loop two-point function
