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研究生: Aban, Janus C.
Aban, Janus C.
論文名稱: 在大額外維度的背景下探索一些粒子物理異常
Probing Some Particle Physics Anomalies in the Context of Large Extra Dimensions
指導教授: 陳傳仁
Chen, Chuan-Ren
口試委員: 陳傳仁
Chen, Chuan-Ren
阮自強
Yuan, Tzu-Chiang
李湘楠
Li, Hsiang-Nan
卜宏毅
Pu, Hung-Yi
李沃龍
Lee, Wo-Lung
口試日期: 2024/06/27
學位類別: 博士
Doctor
系所名稱: 物理學系
Department of Physics
論文出版年: 2024
畢業學年度: 112
語文別: 英文
論文頁數: 160
英文關鍵詞: Large Extra Dimensions, Kaluza-Klein Modes
研究方法: 現象學
DOI URL: http://doi.org/10.6345/NTNU202400921
論文種類: 學術論文
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  • In this dissertation, we probe three different anomalies in particle physics in the context of large extra dimensions (LEDs). The first anomaly refers to the lepton flavor universality violation (LFUV) found in b → sl+l− transition. Recently, the measurement of RK by LHCb supports the deviation on standard model (SM) predictions. The updated global fit preferred the muon Wilson coefficients to be Cbsμμ 9 = −Cbsμμ 10 = −0.41. Regarding this, we show that the contributions of all Kaluza-Klein (KK) modes of Dirac singlet neutrino propagating in the large extra dimensions explain the anomaly by naturally providing Cbsll9 = −Cbsll10. In particular, the muon Yukawa coupling strength hμ = 5 and two extra spatial dimensions suggest that the fundamental scale MF of the extra dimensions must be reduced to around 20 TeV. The second anomaly is about the anomalous values of RD(∗) . Recent measurements of RD(∗) by LHCb determine a significant discrepancy from its SM predictions. These values are associated with semi-leptonic B meson decays fueled by b → cτ ¯ν transition. The anomaly signals a new physics (NP) beyond the SM by violating lepton flavor universality. In our work, we show that the cumulative effects of the KK modes of right-handed singlet neutrino propagating in the large extra dimensions provide an explanation of the anomaly. As a result, the number of extra dimensions must be two to address RD(∗) . The fitting of the fundamental scale MF corresponds to the experimental values of RD and RD∗ , and it is in good agreement with experimental bounds from the lepton flavor violation in τ decays. However, the most stringent constraints from the neutrino experiments set new lower limits of MF , which are in tension to our findings. Therefore, if the central values of RD(∗) remain with smaller uncertainties using the future data, then the extra-dimensional framework with right-handed neutrinos propagating in the bulk will be excluded. Lastly, we address the puzzling Gamma Ray Burst GRB221009A event. In particular, the LHAASO and Carpet- 2 collaboration detected very energetic photons up to maximum energies of 18 TeV and 251 TeV, respectively. Observing such photons from a vast distance remains a mystery due to the severe attenuation from the extra background light (EBL) before the photons arrive on Earth. A possible remedy is the existence of axion-like particles (ALPs). The flux of very energetic photons from a host galaxy is converted into ALPS that travel intergalactically, unhindered by the EBL. In our third paper, we explore the effect of extra dimensions on the conversion probability of photons into ALPs. The conversion probability of very energetic photons may reach almost 100% and will saturate eventually. We show that the energies where the saturation occurs are affected by the size of the extra dimensions. Consequently, smaller extra dimensions are favored for detecting very energetic photons.

    1 Introduction 1 2 Brief Review of the Standard Model and Related Concepts 6 2.1 The SM Lagrangian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 The Higgs Mechanism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.3 Triumphs and Shortcomings of the SM 16 2.4 Particle Physics Anomalies 23 3 Theory of Extra Dimensions 31 3.1 The Kaluza-Klein Decomposition 32 3.2 The ADD Theory 33 3.3 The ADD and 4D Theory Correspondence 35 3.4 Compactification of Right-Handed Neutrino and Generating Neutrino Mass in ADD Theory 37 4 Lepton Universality Violation by Kaluza-Klein Neutrinos Concerning b → sll Transition 41 4.1 Extra-Dimensional Model with a Dirac Singlet Neutrino 41 4.2 b → sll Transition and Relevant Constraints 49 5 Kaluza-Klein Neutrinos Effect to RD(∗) 58 5.1 Extra-Dimensional Framework with Three Right-Handed Neutrinos 58 5.2 b → cτ ¯ν(KK) τ Transition and Relevant Constraints . . 63 5.3 Related Constraints Coming from W Boson Decay and τ Decays 66 6 Impacts of Gamma Ray Burst GRB221009A for Extra Dimensions 72 6.1 Extra-Dimensional Framework with Axion-Like Particles 72 6.2 Conversion Probability of Photon to Kaluza-Klein Axions 75 6.3 Results and Discussion 81 7 Conclusion 91 References 95 A Appendix 124 A.1 Summation of KK modes 124 A.2 Mixing Parameters Derivation in Sec. 4.1 125 A.3 Amplitude of b → sl1¯l2 Transition 128 A.4 Loop Function Fbox(x, y) Approximation135 A.5 Continuous Replacement of Fbsl1l2 box (x, y) 136 A.6 Mixing Parameters Derivation in Sec. 5.1 140 A.7 b → cτ ¯ν(KK) τ Transition Associated Amplitude 142 A.8 Three-Body Decay and Associated Decay Rate 152 A.9 Conversion Probability of Photon to Kaluza-Klein Axions 158 A.10 Coefficients f2 0 and f2 γ 160

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