7717301
Automatic one loop calculation of MSSM processes with GRACE
Abstract We have developed the system for the automatic computation of cross-sections, GRACE/SUSY , including the one-loop calculations for processes of the minimal supersymmetric extension of the standard model. For an application, we investigate the process e + e - → Z 0 h 0 .
5722422
The automatic computation for SUSY processes
AbstractWe have constructed a system for the automatic computation of cross-sectionsfor the processesof the SUSY QED by the extension of the GRACE system includinga Majorana fermion. The system has also been applied to another model includingMajorana fermions, MSSM, by the deﬁnition of the model ﬁle. IntroductionIthas been widely believed that there exists a symmetry called supersymmetry (SUSY)between bosons and fermions at the uniﬁcation-energy scale. It, however, is a brokensymmetry at the electroweak-energy scale. The relic of SUSY is expected to remain asa rich spectrum of SUSY particles, partners of usual matter fermions, gauge bosons andHiggs scalars, named sfermions, gauginos and higgsinos, respectively [1, 2, 3].The neutral gauginos and higgsinos are Majorana fermions, which become the mixedstates called neutralinos. Since anti-particles of Majorana fermions are themselves, thereexists so-called ‘Majorana-ﬂip’, the transition between particle and anti-particle. This hasbeen the most important problem which we should solve when we realize the automaticsystem for computation of the SUSY processes.1
117722201
POLARIZED CROSS-SECTIONS FOR e+ e- ---> W- lepton-sneutrino slepton+
We investigate the single W production associated with sleptons in longitudinally polarized e+e- beams. The polarized cross-sections and the angular distributions of W- are calculated for charged sleptons in left-handed and right-handed multiplets. It is shown that this process will be major background one for the standard one in the single W production at √s = 1 TeV.
14998834
Automatic Computation of Cross Sections in HEP ∗ Status of GRACE System
For the study of reactions in High Energy Physics (HEP) automatic computation systems have been developed and are widely used nowadays. GRACE is one of such systems and it has achieved much success in analyzing experimental data. Since we deal with the cross section whose value can be given by calculating hundreds of Feynman diagrams, we manage the large scale calculation, so that effective symbolic manipulation, the treat of singularity in the numerical integration are required. The talk will describe the software design of GRACE system and computational techniques in the GRACE. High energy experimental physics has produced excellent results thanks to the progress of the detectors and the development of the high energy accelerators with high luminosity. Accordingly, the accurate theoretical computation is required to compare experimental results with theoretical predictions. On the other hand, as the beam energy becomes higher, there appear the physics processes with many final state particles. As a matter of course the number of relevant Feynman diagrams becomes huge. This means that Feynman amplitude calculation is practically impossible when one calculates cross sections by hands. Since the perturbative calculation in quantum field theory is well-defined, it can be realized as an automatic computation system. There appeared several systems, for instance, CompHEP 1) and FeynArt/FeynCalc 2) , in HEP and nowadays the automatic computation of Feynman amplitudes becomes common. We have developed an automatic computation system named GRACE. 3) In section 2, we describe the feature of GRACE system as a concrete example of such system. In section 3, several physical achievements by GRACE are briefly explained. In section 4, we discuss the techniques in GRACE from the view point of computing.
117181820
Pair-production and Three-body Decay of the Lighter Stop at the ILC in One-loop Order in the MSSM
We have been developing a program package called GRACE/SUSY-loop which automatically calculates the MSSM amplitudes in one-loop order. We present numerical results of calculations for pair-production and three-body decay of the lighter stop ($\widetilde{t}_1$) at the International Linear Collider (ILC) using GRACE/SUSY-loop. Since the distributions of missing transverse energy (MET) depend on mass spectrum of SUSY particles, we consider two scenarios on three-body decay of $\widetilde{t}_1$. In these scenarios, both QCD and EW corrections have positive sign for decay widths and cross sections.
117876117
Present Status of GRACE/SUSY-loop
GRACE/SUSY-loop is a program package for the automatic calculation of the MSSM amplitudes in one-loop order. We present features of GRACE/SUSY-loop, processes calculated using GRACE/SUSY-loop and an extension of the non-linear gauge formalism applied to GRACE/SUSY-loop.
120457976
Solvable lattice models related to the vector representation of classical simple Lie algebras
A series of solvable lattice models with face interaction are introduced on the basis of the affine Lie algebraXn(1)=An(1),Bn(1),Cn(1),Dn(1). The local states taken on by the fluctuation variables are the dominant integral weights ofXn(1) of a fixed level. Adjacent local states are subject to a condition related to the vector representation ofXn. The Boltzmann weights are parametrized by elliptic theta functions and solve the star-triangle relation.
10079517
Free Field Construction for the ABF Models in Regime II
AbstractThe Wakimoto construction for the quantum affine algebra U
$$_q$$
(
$$(\widehat{\mathfrak{s}\mathfrak{l}_2 })$$
) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field realization of the Andrews–Baxter–Forrester models in regime II. We give multi-particle form factors of some local operators on the lattice and compute their scaling limit, where the models are described by a massive field theory with 
$$\mathbb{Z}$$

$$_k$$
 symmetric minimal scattering matrices.
120072119
Braid group representations arising from the generalized chiral Potts models
A class of braid group representations are construced for each non-singular bilinear form B : (Z/NZ) l ×(Z/(NZ) l →Z/NZ with N odd. Associated link invariants are given as a Gauss sum involving the Seifert matrix and B. With a special choice of B these representations are Yang-Baxterized to the sl(n) generalizations of the chiral Potts model discovered recently
119324041
Asymptotic representations and Drinfeld rational fractions
We introduce and study a category of representations of the Borel algebra, associated with a quantum loop algebra of non-twisted type. We construct fundamental representations for this category as a limit of the Kirillov-Reshetikhin modules over the quantum loop algebra and we establish explicit formulas for their characters. We prove that general simple modules in this category are classified by n-tuples of rational functions in one variable, which are regular and non-zero at the origin but may have a zero or a pole at infinity.
119733514
Fermionic structure in the sine-Gordon model: Form factors and null-vectors
Abstract The form factor bootstrap in integrable quantum field theory allows one to capture local fields in terms of infinite sequences of Laurent polynomials called ‘towers’. For the sine-Gordon model, towers are systematically described by fermions introduced some time ago by Babelon, Bernard and Smirnov. Recently the authors developed a new method for evaluating one-point functions of descendant fields, using yet another fermions which act on the space of local fields. The goal of this paper is to establish that these two fermions are one and the same object. This opens up a way for answering the longstanding question about how to identify precisely towers and local fields.