Establishment of numerical analysis methods in high energy physics

高能物理数值分析方法的建立

• 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
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-17340085/
• 关键词: Numerical analysis; Scattring amplitude; Automatic calculation; Event generator; Loop integral; Radiative correction; アルゴリズム; 計算物理; 国際協力; 素粒子実験; 素粒子論; ファインマン振幅; NLO-QCD; LHC; ILC; 高精度計算; 高次補正

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.

为了尽可能从受庞大背景污染的实验数据中提取物理信息，一种与理论的分析预测相比，分析实验数据的标准方法是不够的。为了从如此复杂的数据中提取物理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较大规模的数值计算。这种大规模的高质量数值方法称为“数值分析方法”。质子 - 蛋白碰撞实验的背景必须由QCD完全预测。但是，最低水平（树级）计算对于事件速率的概率没有任何预测能力。我们需要高阶扰动和非扰动计算，以进行背景行为的精确预测。数值分析的主要成就之一是建立以数值稳定方式非常有效地基于扰动QCD进行计算的方法。它包括自动生成散射幅度，在辐射校正中出现循环积分，等等。还可以澄清的是，数值分析方法对于在电效力过程中的1循环水平超过1循环水平有效。我们将数值分析方法应用于该主题，以系统的方式直接追求循环积分。可以通过使用精确保存的浮点计算和改进的数值集成方法来确认循环积分可以以10个以上的数字精度执行。与蒙特卡洛集成方法相比，它的提高了约5位精度。我们准备使用数值分析方法以系统的方式进行2循环计算。

项目成果

Recent developments in parallelization of the multidimensional integration package DICE

多维集成包 DICE 并行化的最新进展

• 发表时间: 2006
• 期刊: Nuclear Instruments and Methods in Physics Research Section A : Accelerators, Spectrometers, Detectors and Associated Equipment Volume 559
• 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

• 发表时间: 2006
• 期刊: Computer Physics Communications 174
• 作者: Y.Kurihara;T.Kaneko
• 通讯作者: T.Kaneko

New results from GRACE/SUSY at 1-loop

• DOI: 10.1016/j.nuclphysbps.2006.03.043
• 发表时间: 2006-07-01
• 期刊: NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS
• 作者: Fujimoto, Junpei;Ishikawa, Tadashi;Shimizu, Yoshimitsu
• 通讯作者: Shimizu, Yoshimitsu

GRACE with FORM.

优雅与形式。

• 发表时间: 2006
• 期刊: Nucl. Phys. Proc. Suppl. 160
• 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.

NLO-QCD calculation in GRACE

GRACE 中的 NLO-QCD 计算

• 发表时间: 2006
• 期刊: Nucl. Phys. Proc. Suppl. 157
• 作者: 栗原 良将;安井 良彰;近 匡;加藤 潔;A.Shibata et al.;Y.Kurihara et al.
• 通讯作者: Y.Kurihara et al.