| 研究課題/領域番号 |
23K19047
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| 研究種目 |
研究活動スタート支援
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| 配分区分 | 基金 |
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| 審査区分 |
0203:素粒子、原子核、宇宙物理学およびその関連分野
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| 研究機関 | 東京大学 |
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研究代表者 |
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| 研究期間 (年度) |
2023-08-31 – 2025-03-31
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| 研究課題ステータス |
交付 (2023年度)
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| 配分額 *注記 |
2,860千円 (直接経費: 2,200千円、間接経費: 660千円)
2024年度: 1,430千円 (直接経費: 1,100千円、間接経費: 330千円)
2023年度: 1,430千円 (直接経費: 1,100千円、間接経費: 330千円)
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| キーワード | Conformal field theory / Large charge expansion / Multi-Higgs production / Semiclassical methods / Multiparticle production |
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| 研究開始時の研究の概要 |
The goal of the proposed research is to considerably extend the semiclassical approach for multilegged amplitudes which are relevant for both future collider phenomenology and conformal field theory dynamics. First, I plan to focus on higher-order calculations within the semiclassical large-charge expansion framework for CFT observables going beyond the current state of the art. Later, I will work on developing an efficient semiclassical scheme for describing multiparticle production processes at high energies.
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| 研究実績の概要 |
In line with the research plan, my work focused on bridging the semiclassical large charge framework and particle physics applications. As the first step, I worked on employing the large charge expansion to compute the anomalous dimensions of composite operators made out of Higgs fields in the Standard Model of particle physics. These operators can appear as effective vertices in high-energy processes involving many Higgs bosons and, therefore, may be important for understanding multiple Higgs production processes at the next generation of colliders. The results have been published in JHEP and presented in invited seminars at YITP, Kyoto (on 2024/03/28) and APCTP, Pohang (on 2024/03/08).
During this investigation, I encountered a so-far almost unexplored phase of the Standard Model characterized by W boson condensation and spatial anisotropy. I am currently investigating its properties which, intriguingly, substantially differ from the superfluid phase describing the large charge sector of all known CFTs. Moreover, this phase may be relevant for multiparticle production in gauge theories.
Finally, I worked on employing the large charge framework to study QCD-like theories at finite isospin charge near the lower end of the conformal window. The results show how the difference between the energy on the cylinder of the lightest charged state and the scaling dimension of the corresponding operator encodes the details of the conformality breaking. This research resulted in one preprint (2401.08457[hep-th]) which is currently under peer review.
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| 現在までの達成度 (区分) |
現在までの達成度 (区分)
2: おおむね順調に進展している
理由
Having been able to connect the large charge expansion framework with the Standard Model of particle physics represents considerable progress for the research project. At the same time, the development of an efficient semiclassical approach for the calculation of decay rates and cross sections with many bosons in the final state presents several challenges that are currently under investigation.
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| 今後の研究の推進方策 |
I plan to continue working on the development of the large charge expansion framework with a focus on real-world applications.
As the next step, I will investigate the generalization of the approach to fermionic conformal theories. Moreover, I plan to unveil the novel anisotropic superfluid phase which describes the large charge sector of the Standard Model.
In parallel, I will keep trying to develop an efficient semiclassical framework to study multi-Higgs production processes at high energies.
At the moment, I am dealing with the expected technical challenges related to the intricate structure of the relevant saddle points. I plan to address these issues via a detailed analysis of the analytical properties of the saddle points and the related integration contours.
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