Effective electroweak Hamiltonian in the gradient-flow formalism

The electroweak Hamiltonian in the gradient flow formalism

Over the last decade the gradient flow formalism has become an important tool for lattice simulations of Quantum Chromodynamics. It offers remarkable renormalization properties which pave the way for cross-fertilization between perturbative and lattice calculations. In this contribution we report on the construction of the flowed operator product expansion for the current-current operators of the electroweak Hamiltonian at NNLO QCD. This allows for simpler transformations between lattice and perturbative schemes and might reduce the uncertainties of theoretical predictions for low-energy flavo…

The gradient flow formulation of the electroweak Hamiltonian

Flavor observables are usually computed with the help of the electroweak Hamiltonian which separates the short-distance from the long-distance regime. The Wilson coefficients are calculated perturbatively, while matrix elements of the operators require non-perturbative treatment for many processes, e.g. through lattice simulations. The resulting necessity to compute the transformation between the different renormalization schemes in the two calculations constitutes an important source of uncertainties. An elegant solution to this problem is provided by the gradient-flow formalism, already wide…

包含电弱圈积分的物理过程的有限体积形式

Finite-volume formalism for physical processes with an electroweak loop integral

本研究提出了一种通用有限体积形式，用于修正涉及长程强子矩阵元与电弱圈积分结合的物理过程中的有限体积效应，并推导了单粒子和两粒子主导情况下的修正公式，适用于QED修正及特定介子衰变的双光子交换贡献。

Results from 3D Electroweak Phase Transition Simulations

We study the phase transition in SU(2)-Higgs model on the lattice using the 3D dimensionally reduced formalism. The 3D formalism enables us to obtain highly accurate Monte Carlo results, which we extrapolate both to the infinite volume and to the continuum limit. Our formalism also provides for a well-determined and unique way to relate the results to the perturbation theory. We measure the critical temperature, latent heat and interface tension for Higgs masses up to 70 GeV.

存在两体和三体束缚态时的电弱三体衰变

Electroweak three-body decays in the presence of two- and three-body bound states

本文对电弱三体衰变形式体系进行解析与数值检验，证明散射振幅满足幺正性，并验证有限体积矩阵元与束缚态耦合的关系。

Hamiltonian formalism in a problem of 3-th waves hierarchy

By the method of discrete transformation equations of 3-th wave hierarchy are constructed. We present in explicit form two Poisson structures, which allow to construct Hamiltonian operator consequent application of which leads to all equations of this hierarchy. For calculations it will be necessary results of previous paper \cite{1}, which for convenience of the reader we present in corresponding place of the text. The obtained formulae are checked by independent calculations.