The $e^+e^- \rightarrow ZH$ process is the dominant for Higgs boson production at future factory. In order to match analysis on properties with highly precise experiment data, it will be crucial include theoretical prediction full next-to-next-to-leading electroweak effect in rate $\sigma(e^+e^-\rightarrow ZH)$. this inspiring work, we categorize two-loop Feynman diagrams of $\mathcal O(\alpha^...

We show that the problem of solving recurrence relations for L-loop (R + 1)-point Feynman integrals within the method of integration by parts is equivalent to the corresponding problem for (L + R)-loop vacuum or (L + R − 1)-loop propagator-type integrals. Using this property we solve recurrence relations for two-loop massless vertex diagrams, with arbitrary numerators and integer powers of prop...

Recent results of two interesting classes of supersymmetric two-loop contributions to (g − 2)μ are presented. Two-loop diagrams involving a closed sfermion loop can amount to 5 × 10 or almost one standard deviation of the current experimental uncertainty, and two-loop diagrams with a closed chargino/neutralino loop can be similarly large. The dependence of these two classes on the unknown super...

Growing complexity represents an issue that can be identified in various disciplines. In system dynamics, causal loop diagrams are used for capturing dynamic nature of modelled systems. Increasing complexity of developed diagrams is associated with the tendency to include more variables into a model and thus make it more realistic and improve its value. This is even multiplied during group mode...

The low energy effective Hamiltonian of the standard model includes ∆S = 1 four-fermion operators with corresponding Wilson coefficients, which contains all the short-distance physics. The low energy effects of the electroweak and strong interactions can be expressed in terms of matrix elements of the four-fermion operators between hadronic states. Lattice QCD is wellsuited to calculate these m...

We evaluate all the primitive divergences contributing to the 7–loop β–function of φ4 theory, i.e. all 59 diagrams that are free of subdivergences and hence give scheme– independent contributions. Guided by the association of diagrams with knots, we obtain analytical results for 56 diagrams. The remaining three diagrams, associated with the knots 10124, 10139, and 10152, are evaluated numerical...