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Establishment of numerical analysis methods in high energy physics

高能物理数值分析方法的建立

基本信息

批准号：
17340085
负责人：
KANEKO Toshiaki
金额：
$ 7.56万
依托单位：
High Energy Accelerator Research Organization
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (B)
财政年份：
2005
资助国家：
日本
起止时间：
2005 至 2007
项目状态：
已结题

项目摘要

In order to extract physics information as much as possible from experimental data contaminated by huge backgrounds, a standard method to analyze the experimental data simply compared with analytical prediction of the theory is not sufficient. In order to extract physically meaningful results from such a complicated data and to measure parameters in the model, it is necessary to perform larger scale numerical calculations for both of signal and background channels. This kind of large-scale high-quality numerical method is named "the numerical analysis method".The background of the proton-proton colliding experiment must be completely predicted by QCD. However the lowest level (tree-level) calculation does not have any predictive power for the probability of the event rate. We need both higher order perturbation and non-perturbative calculations for precise predictions of the background behavior. One of the main achievement of the numerical analysis is to establish the method to perform calculations based on the perturbative QCD very efficiently with a numerically stable manner. It includes automatic generation of the scattering amplitudes, loop integration appeared in the radiative corrections and so on.It is also clarified that the numerical analysis method is effective for the higher radiative correction beyond 1-loop level in the electro-weak processes. We apply the numerical analysis method for this subject to pursue the loop integral directly numerically in systematic way. It is confirmed that the loop integration can be performed with more than 10 digit accuracy by using a precision-preserved floating-point calculation and improved numerical integration method. It is improved about 5 digit precision compared with the Monte Carlo integration method. We are ready to approach 2-loop calculations with a systematic way using the numerical analysis method.

为了从被巨大背景污染的实验数据中提取尽可能多的物理信息，与理论的解析预测相比，简单地对实验数据进行分析的标准方法是不够的。为了从如此复杂的数据中提取物理上有意义的结果并测量模型中的参数，有必要对信号和背景通道进行更大规模的数值计算。这种大规模高质量的数值方法被称为“数值分析方法”，质子-质子碰撞实验的背景必须用QCD完全预言。然而，最低级别（树级别）计算对事件发生率的概率没有任何预测能力。我们需要高阶微扰和非微扰计算来精确预测背景行为。数值分析的主要成果之一是建立了一种基于微扰QCD的计算方法，该方法能够以数值稳定的方式高效地进行计算。其中包括散射振幅的自动生成、辐射修正中出现的回线积分等，并阐明了数值分析方法对于电弱过程中超过1回线水平的更高辐射修正是有效的。本文将数值分析方法应用于本课题，系统地直接对回路积分进行数值求解。通过采用保精度浮点计算和改进的数值积分方法，证明了环路积分可以达到10位以上的精度。与MonteCarlo积分法相比，精度提高了5位数。我们已经准备好使用数值分析方法以系统的方式进行2回路计算。

项目成果

期刊论文数量（0）

专著数量（0）

科研奖励数量（0）

会议论文数量（0）

专利数量（0）

Recent developments in parallelization of the multidimensional integration package DICE

多维集成包 DICE 并行化的最新进展

DOI：
发表时间：
2006
期刊：
Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment Volume 559
影响因子：
0
作者：
F.Yuasa;K.Tobimatsu;S.Kawabata
通讯作者：
S.Kawabata

Numerical contour integration for loop integrals

循环积分的数值轮廓积分

DOI：
发表时间：
2006
期刊：
Computer Physics Communications 174
影响因子：
0
作者：
Y.Kurihara;T.Kaneko
通讯作者：
T.Kaneko

GRACE with FORM.

优雅与形式。

DOI：
发表时间：
2006
期刊：
Nucl. Phys. Proc. Suppl. 160
影响因子：
0
作者：
栗原良将;安井良彰;近匡;加藤潔;A.Shibata et al.;Y.Kurihara et al.;J.Fujimoto et al.;J.Fujimoto et al.
通讯作者：
J.Fujimoto et al.

New results from GRACE/SUSY at 1-loop