MPHIL: Finite Monopole solutions in BSM models, inspired from the Born-Infeld action, and light monopole solutions accessible at current and future c

我研究了标准模型的Born-Infeld扩展中的有限能量双子解，并导出了对未来对撞机搜索的预测。据观察，超荷扇区中的Born-Infeld扩展使ChoMaison成为有限的（arXiv 1702.04068v1）。我扩展了这一工作，证明了有限双子解也存在。Cho和Maison的运动方程的原始解在中微子核中是不准确的，但在中微子核中的修正已经发表（arXiv：1812.00495v1）。我还证明了当SU（2）xU（1）规范扇区采用BI形式时，运动方程在微扰展开中解到任意阶，其中BI参数与规范场强度相比很大。在每一阶，由于超荷扇区的贡献，孤子（介子或双子）的能量发散。它被证明是太复杂了，这成为有限的所有订单，就像在（arXiv 1702.04068v1）。这项研究是相关的实验研究的MoEDAL合作，我也参加了。我建立了一个理论模型，用于光子聚变和Drell-Yan过程产生的一般的双光子晶体，参与了Madgraph模拟自旋0，1/2和1的单极子的产生，其中偶极矩项作为一个新的参数。在与瓦伦西亚的粒子物理研究所的博士后研究员的合作中，我们在Madgraph Monte Carlo中创建了这些粒子过程的完整模拟，并发表了这项工作。在我博士学位的下一阶段，我正在研究使用N=1超引力产生Starobinsky类暴胀模型的不同方法，没有尺度超对称破缺。这包括文献回顾和评估目前在这方面的进展，并寻找一个问题，我自己的调查

I investigated finite energy dyon solutions in the Born-Infeld extensions to the Standard Model and derived predictions for future collider searches.It was observed that the Born-Infeld extension in the hypercharge sector renders the ChoMaison monopole finite (arXiv 1702.04068v1). I extended this work, showing that a finite dyon solution also exists.Cho and Maison's original solutions to the equations of motion are not accurate in the monopole core, but a correction has been published (arXiv:1812.00495v1) in the monopole case. I have shown that a similar correction holds in the dyon case with a Born-Infeld hypercharge term.I also showed that, when the SU(2)xU(1) gauge sectors take the BI form, the equations of motion solve to any arbitrary order in the perturbative expansion where the BI parameter is large compared with the gauge field strengths. At each order, the energy of the soliton (monopole or dyon) divergences due to contributions from the hypercharge sector. It proved too complicated to sthat this becomes finite to all orders, just as in (arXiv 1702.04068v1).This research is relevant to the experimental searches of the MoEDAL Collaboration which I also participate in. I developed a theoretical model for generic monopole production by photon fusion and Drell-Yan processes, was involved in Madgraph simulations of the production of spin 0, 1/2 and 1 monopoles in which a dipole moment term is included as a new parameter. In collaboration with a Postdoctorate researcher at the Instituto de Fisica Corpuscular in Valencia, we created a full simulation of these particle processes within the Madgraph Monte Carlo and have published the work.In the next stage of my PhD, I am investigating different methods of generating Starobinsky like inflation models using N=1 supergravity with no scale supersymmetry breaking. This involves a literature review and assessment of current progress in this area, and searching for a question of my own to investigate