Modern field and scattering theory for fundamental physics

在接下来的几十年里，在高能物理学中，我们将看到许多大型实验产生大型数据集，例如改装的HL-LHC质子-质子对撞机，以及LIGO-Virgo-KAGRA引力波探测器集体。我们对其中许多实验的预测来自于一个潜在的场论及其相应的描述散射过程的振幅。这些大型实验的共同之处是两个瓶颈。第一，我们可能看到的情况有大量的可能性。第二，我们对每一种可能性的分析和数值场理论预测可能需要很长时间才能产生。这项提议旨在改善我们在这两个方面寻找新的基础物理发现的过程，包括：1.缩小我们在对撞机上可能看到的可能性，如Belle II，LHC和未来的对撞机。这将涉及对弱电部门新物理简化模型的全面调查，根据希格斯、弱电精确度和风味数据计算它们的当前和预测约束。扩展功能和壳层方法，如可构造性算法，以处理高能实验中由重新粒子产生的大量局部相互作用，如SMEFT或HEFT编码的那样。将同样的方法应用于与引力波形的数值相对论计算相关的有效场理论，以产生更快、更精确的计算技术。

"In the coming decades in high energy physics, we will see many big experiments generate big datasets, such as the revamped HL-LHC proton-proton collider, and the LIGO-Virgo-KAGRA collective of gravitational wave detectors. Our predictions for many of these experiments come from an underlying field theory, and its corresponding amplitudes that describe scattering processes.Common to these big experiments are two bottlenecks. One, there is a large number of possibilities for what we might see. Two, our analytical and numerical field theoretic predictions for each of these possibilities can take a long time to produce.This proposal aims to improve our search for new fundamental physics discoveries on both counts, including by:1. narrowing down the possibilities for what we might see in colliders, such as Belle II, the LHC and future colliders. This will involve a comprehensive survey of simplified models of new physics in the electroweak sector, calculating their current and projected constraints from Higgs, electroweak precision, and flavour data.2. extending functional and on-shell methods, such as constructability algorithms, to work with the numerous local interactions produced by heavy new particles in high energy experiments, as encoded by SMEFT or HEFT.3. applying the same to effective field theories relevant for numerical relativity calculations of gravitational waveforms to generate faster, more precise calculational techniques."