Higgs Bosons, Heavy Quarks and Soft Gluons: Resummation-Improved Predictions for Associated Higgs Production Processes at the LHC

2012年在LHC发现希格斯粒子是粒子物理学史上的一项突破性成就。LHC研究计划目前的当务之急是确定这种新粒子的性质，以确定它与粒子物理学标准模型（SM）中的希格斯玻色子有多相似。除了一流的实验测量外，希格斯粒子性质的确定还需要知道相应的高精度理论预测。最令人期待的测量之一是希格斯粒子与顶夸克耦合的测量。这种耦合可以在希格斯粒子与顶-反顶夸克对产生的过程中直接测量。希格斯玻色子与重夸克耦合的产生过程在粒子物理SM的超对称扩展中也起着非常重要的作用。对标准模型之外的物理信号，特别是对超对称模型预测的粒子的探测，是LHC未来几年的另一项主要研究活动。该项目的主要目标是提高对SM希格斯玻色子以及与LHC重夸克相关的超对称希格斯玻色子的预测准确性。具体地说，改进将通过计算高阶修正的影响微扰量子色动力学由于软共线胶子的排放。这些修正将在再确认技术的帮助下系统地对待所有订单。在这个项目中制定的前几个目标涉及SM希格斯玻色子与顶夸克的相关生产。他们专注于必要的计算，以实现下一个领先的对数精度的总截面以及各种微分分布的预测。在这个项目的这一部分中提出的计算将是第一次应用的分析重申与顶夸克强子碰撞中的关联希格斯生产。研究最小超对称标准模型中的软胶子修正对希格斯玻色子产生的预测的影响是该项目另一组目标的主题。同样在这种情况下，将提供总截面以及微分分布的理论结果。除分析计算外，还将进行数值模拟，并为该项目中考虑的所有过程提供公共代码。

The 2012 discovery of a Higgs particle at the LHC was a groundbreaking achievement in the history of particle physics. The current imperative of the LHC research programme is the determination of the properties of this new particle, in a quest to establish how closely it resembles the Higgs boson of the Standard Model (SM) of particle physics. Apart from tour de force experimental measurements, the determination of Higgs properties requires knowing corresponding theoretical predictions with high precision. One of the most highly anticipated measurements is the measurement of the coupling of the Higgs particle to top quarks. This coupling can be measured directly in the process of Higgs production in association with a top-antitop quark pair. Production processes involving the coupling of a Higgs boson to heavy quarks play also a very important role in the supersymmetric extensions of the SM of particle physics. Searches for signals of physics beyond the Standard Model and in particular for particles predicted by supersymmetric models constitutes another major research activity at the LHC for the years to come. The main goal of this project is the improvement of the accuracy of the predictions for the production of the SM Higgs boson as well as supersymmetric Higgs bosons in association with heavy quarks at the LHC. Specifically, the improvement will be achieved by calculating the effect of higher-order corrections in perturbative Quantum Chromodynamics due to the emission of soft and collinear gluons. These corrections will be treated systematically to all orders with the help of resummation techniques. The first few objectives formulated within this project relate to the associated production of the SM Higgs boson with top quarks. They focus on calculations necessary to achieve the next-to-leading-logarithmic accuracy of resummed predictions for the total cross section as well as various differential distributions. The calculations proposed in this part of the project will be the first application of analytical resummation to the associated Higgs production with top quarks in hadronic collisions. Investigating the impact of resummed soft gluon corrections on the predictions for the production of Higgs bosons of the Minimal Supersymmetric Standard Model is the subject of another set of objectives in this project. Also in this case, theoretical results will be provided for the total cross sections as well as differential distributions. Apart from analytical calculations, numerical simulations will be performed and public codes will be delivered for all processes considered in this project.