QCD and electro-weak corrections to the production of Higgs+2 jets at the LHC

We present complete next-to-leading-order (NLO) QCD correction and electro-weak (EW) correction to the production cross section of Higgs-Boson in association with two hard quark jets by using Monte-Carlo numerical calculation program, HAWK, for various photon parton distribution functions at the Large Hadron Collider with center of mass energy 7, 8, 13, and 14 TeV without and with typical vector-Boson-fusion cuts on the tagging jets. In our calculation we include complete contribution from the full set of t-channel, u-channel and s-channel Feynman diagrams, and corresponding interferences as well as NLO QCD and EW corrections.     

Counting the number of indecomposable representations and a q-analogue of the Weyl-Kac denominator identity of type $$ \tilde B_n $$

By using Frobenius maps and F-stable representations, we count the number of isomorphism classes of indecomposable representations with the fixed dimension vector of a species of type over a finite field, first, and then, as an application, give a q-analogue of the Weyl-Kac denominator identity of type . This work was partially supported by the Doctoral Program of Higher Education (Grant No. 20030027002)     

G_(2)-型导出Hall代数的PBW基北大核心CSCD

在Dynkin型Ringel-Hall代数中,不可分解模同构类之间的所有拟交换关系的集合S构成理想Id(S)的一个极小Grobner-Shirshov基,并且对于S的所有不可约元素构成Ringel-Hall代数的一个PBW基.本文把此结果推广到G_(2)-型导出Hall代数上.首先用Auslander-Reiten箭图计算不可分解模同构类之间的所有拟交换关系,然后证明这些拟交换关系之间的所有合成都是平凡的,最后给出G_(2)-型导出Hall代数的一个PBW基.     

Next-to-leading order QCD and electroweak corrections to Higgs-strahlung processes at the LHC

In this paper we calculate the total and fiducial cross sections as well as differential distributions for the Higgs-strahlung or VH process pp→VH→lv1/1~-1~++H,(V = W or Z, 1=e, μ) including QCD and electro-weak corrections up to next-to-leading order before and after reweighting photon PDFs of NNPDF2.3 qed, NNPDF3.0 qed,MRST2004 qed, CT14 QEDinc, and LUXqed at the LHC with 13 TeV and Higgs boson mass MH = 125 GeV. The predictions from the various photon PDFs before and after reweighting against each other are in good agreement.The photon PDF uncertainties of the photon-induced cross sections decrease significantly with the reweighting PDFs.     

Gröbner-Shirshov Bases of Irreducible Modules of the Quantum Group of Type G2

First, the authors give a Grbner-Shirshov basis of the finite-dimensional irreducible module Vq(λ) of the Drinfeld-Jimbo quantum group U_q(G_2) by using the double free module method and the known Grbner-Shirshov basis of U_q(G_2). Then, by specializing a suitable version of U_q(G_2) at q = 1, they get a Grbner-Shirshov basis of the universal enveloping algebra U(G_2) of the simple Lie algebra of type G_2 and the finite-dimensional irreducible U(G_2)-module V(λ).