| Project/Area Number |
23K19047
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Multi-year Fund |
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| Review Section |
0203:Particle-, nuclear-, astro-physics, and related fields
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| Research Institution | The University of Tokyo |
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Principal Investigator |
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| Project Period (FY) |
2023-08-31 – 2025-03-31
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| Project Status |
Granted (Fiscal Year 2023)
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| Budget Amount *help |
¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2024: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2023: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | Conformal field theory / Large charge expansion / Multi-Higgs production / Semiclassical methods / Multiparticle production |
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| Outline of Research at the Start |
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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| Outline of Annual Research Achievements |
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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| Current Status of Research Progress |
Current Status of Research Progress
2: Research has progressed on the whole more than it was originally planned.
Reason
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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| Strategy for Future Research Activity |
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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