We bootstrap the three-point form factor of chiral part stress-tensor supermultiplet in planar $\mathcal{N}=4$ super-Yang-Mills theory, obtaining new results at three, four, and five loops. Our construction employs known conditions on first, second, final entries symbol, combined with multiple-final-entry conditions, ``extended-Steinmann-like'' near-collinear data from recently-developed operat...

In this paper, the generalized gamma (GG) distribution that is a flexible distribution in statistical literature, and has exponential, gamma, and Weibull as subfamilies, and lognormal as a limiting distribution is introduced. The power and logarithmic moments of this family is defined. A new moment estimation method of parameters of GG family using it’s characterization is presented, this metho...

In this present study the double layers structure model of extended Korteweg-de Vries(K-dV) equation will be obtained with the help of the reductive perturbation method, which admits a double layer structure in current plasma model. Then by using of new analytical method we obtain the new exact solitary wave solutions of this equation. Double layer is a structure in plasma and consists of two p...

We used what we called extended Fan’s sub-equation method and a new compound Riccati equations rational expansion method to construct the exact travelling wave solutions of the Davey-Stewartson DS equations. The basic idea of the proposed extended Fan’s subequation method is to take fulls advantage of the general elliptic equations, involving five parameters, which have many new solutions and w...

We compute the next-to-leading virtual QCD corrections to partonic cross section of production a Higgs boson in association with $Z$ gluon fusion. The calculation is based on recently introduced method evaluating amplitude via an expansion terms small transverse momentum. generalize case different masses final state and process not symmetric forward-backward direction exchange. Our analytic app...