Modern field and scattering theory for fundamental physics

“在未来几十年的高能物理学中，我们将看到许多大型实验产生大数据集，例如改进的HL-LHC质子-质子对撞机，以及LIGO-Virgo-KAGRA引力波探测器。我们对许多这些实验的预测来自于一个基本的场论，以及描述散射过程的相应振幅。这些大型实验有两个共同的瓶颈。第一，我们可能看到的东西有很多可能性。第二，我们对每一种可能性的分析和数值场论预测都需要很长时间才能产生。这一提议旨在提高我们在这两个方面寻找新的基础物理发现的能力，包括：缩小了我们在对撞机中看到的可能性，比如Belle II，大型强子对撞机和未来的对撞机。这将涉及对电弱领域的新物理简化模型的全面调查，从希格斯粒子、电弱精度和风味数据中计算它们当前和预计的约束。扩展功能和壳层方法，如可构造性算法，以处理由SMEFT或heft编码的高能实验中重新粒子产生的大量局部相互作用。将其应用于与重力波形的数值相对论计算相关的有效场论，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."