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

2012年在大型强子对撞机上发现了希格斯粒子，这是粒子物理学史上的一项开创性成就。目前大型强子对撞机研究计划的当务之急是确定这种新粒子的性质，以求确定它与粒子物理标准模型(SM)中的希格斯玻色子有多相似。除了环力实验测量之外，确定希格斯性质还需要知道相应的高精度理论预测。最受期待的测量之一是测量希格斯粒子与顶夸克的耦合。这种耦合可以在与顶-反顶夸克对相关联的希格斯产生过程中直接测量。涉及希格斯玻色子与重夸克耦合的产生过程在粒子物理学SM的超对称扩展中也扮演着非常重要的角色。寻找超越标准模型的物理信号，特别是超对称模型预测的粒子，是大型强子对撞机未来几年的另一项主要研究活动。这个项目的主要目标是提高对大型强子对撞机上与重夸克有关的SM希格斯玻色子和超对称希格斯玻色子产生的预测的准确性。具体地说，这种改进将通过计算由于软胶子和共线胶子的发射而引起的微扰量子色动力学中的高阶修正的影响来实现。这些更正将在恢复技术的帮助下系统地处理所有订单。在这个项目中制定的最初几个目标涉及到与顶夸克相关的SM希格斯玻色子的产生。他们侧重于必要的计算，以实现恢复的总横截面预测的对数精度以及各种差异分布。在该项目的这一部分中提出的计算将是第一次将解析恢复应用于强子碰撞中与顶夸克相关的希格斯产生。研究恢复的软胶子修正对最小超对称标准模型中希格斯玻色子产生的预测的影响是本项目另一组目标的主题。在这种情况下，还将提供总横截面和微分分布的理论结果。除分析计算外，还将进行数值模拟，并将为本项目所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.