Numerical higher-order calculations

高阶数值计算

• 批准号: 221808407
• 负责人: Professor Dr. Stefan Weinzierl
• 金额: --
• 依托单位: Institut für Physik
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2012
• 资助国家: 德国
• 起止时间: 2011-12-31 至 2020-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/221808407?language=en
• 关键词: Numerical; higher; order; calculations

The goal of this renewal proposal is the further development of the numerical approach to higher-order calculations in precision particle physics. Compared to other approaches the numerical approach offers a very good scaling behaviour with the number of final-state particles and is therefore well suited for precision calculations involving a large number of final-state particles. Masses are easily incorporated within the numerical approach.The concrete goals of this proposal are (i) the development of a method, which leads to small Monte Carlo integration errors for the integration over the loop momentum in all kinematical configurations and(ii) the extension of the formalism to NNLO.Point (i) is the current bottleneck and a satisfactory solution will be mandatory for the numerical approach at NLO and NNLO.With the research programme of this proposal we are confident to achieve a satisfactory solution.

这一更新建议的目标是进一步发展数值方法的高阶计算在精密粒子物理。与其他方法相比，数值方法在最终状态粒子的数量上具有很好的标度特性，因此非常适合涉及大量最终状态粒子的精确计算。质量很容易被纳入数值方法。本提案的具体目标是：(i)开发一种方法，该方法在所有运动学构型中对环动量进行积分时产生较小的蒙特卡罗积分误差，以及（ii）将形式主义扩展到NNLO。(i)点是目前的瓶颈，在NLO和NNLO的数值方法必须有一个满意的解决方案。根据这项建议的研究方案，我们有信心取得令人满意的解决办法。

项目成果

Vanishing of certain cuts or residues of loop integrals with higher powers of the propagators

具有较高传播器幂的循环积分的某些割断或残差消失

• DOI: 10.1103/physrevd.99.096023
• 发表时间: 2019
• 期刊: Physical Review D
• 影响因子: 5
• 作者: R. Baumeister;D. Mediger;J. Pecovnik;S. Weinzierl
• 通讯作者: S. Weinzierl

Integrands of loop amplitudes within loop-tree duality

• DOI: 10.1103/physrevd.101.116014
• 发表时间: 2020-06
• 期刊: Physical Review D
• 影响因子: 5
• 作者: R. Runkel;Z. Szőr;J. Vesga;S. Weinzierl

Erratum: Causality and Loop-Tree Duality at Higher Loops [Phys. Rev. Lett. 122, 111603 (2019)].

勘误表：更高循环中的因果关系和循环树对偶性 [Phys Rev Lett 122, 111603 (2019)]

• DOI: 10.1103/physrevlett.123.059902
• 发表时间: 2019
• 期刊: Physical review letters
• 影响因子: 8.6
• 作者: R. Runkel;Z. Ször;J. P. Vesga;S. Weinzierl
• 通讯作者: S. Weinzierl