五维最小超对称标准模型中的双圈重整化与希格斯唯象学
Two-loop renormalisation and Higgs phenomenology in the five-dimensional MSSM
另 5 家 · 查看机构详情
- University of Hafr Al Batin（哈夫阿尔巴廷大学）
- Sudan University of Science and Technology（苏丹科学与技术大学）
- University of Johannesburg（约翰内斯堡大学）
- De La Salle University（德拉萨大学）
- Université Lyon 1（里昂第一大学）
- CNRS（法国国家科学研究中心）
- IP2I（里昂-罗讷-阿尔卑斯粒子物理研究所）
- University of Khartoum（喀土穆大学）
机构由 AI 辅助整理，请以论文原文为准。
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中文总结 AI 辅助
本研究对五维最小超对称标准模型开展双圈分析，推导相关重整化群方程，证实其紫外行为良好，计算含KK重求和的希格斯有效势，经数值研究确立紧致化尺度等参数约束，得到与实验一致的可行参数空间。
中文摘要 AI 辅助
五维最小超对称标准模型（5D MSSM）是一个颇具吸引力的理论框架，其幂律重整化群演化可自然产生较大的顶夸克超伴子（stop）三重线性耦合，从而在无需过重重超对称谱的情况下重现观测到的希格斯玻色子质量。本研究对5D MSSM开展全面的双圈分析，推导了规范、 Yukawa及软超对称破缺区的完整重整化群方程，并检验该理论的微扰一致性。研究特别关注模型的紫外行为，结果表明，潜在危险的领头双圈贡献因 underlying N=2超对称性而抵消，仅留下行为良好的微扰展开。在此框架基础上，本研究计算了包含完整卡鲁扎-克莱因（KK）贡献（通过KK重求和实现）的辐射修正希格斯有效势，并探究其对希格斯区的影响。随后通过对希格斯玻色子质量、电弱精密可观测量、希格斯耦合修正因子及信号强度的详细数值研究，探索模型的唯象可行性，进而确立紧致化尺度与超对称参数空间的约束条件。研究发现，双圈修正的引入既保留了五维理论的特征幂律行为，又产生了与当前对撞机及精密测量一致的唯象可行参数空间。
英文摘要
The five-dimensional Minimal Supersymmetric Standard Model (5D MSSM) provides an attractive framework in which power-law renormalisation group evolution naturally generates a sizeable trilinear stop coupling, allowing the observed Higgs boson mass to be reproduced without requiring too heavy a supersymmetric spectra. In this work we present a comprehensive two-loop analysis of the 5D MSSM, deriving the complete renormalisation group equations governing the gauge, Yukawa and soft supersymmetry-breaking sectors and examining the perturbative consistency of the theory. Particular attention is given to the ultraviolet behaviour of the model, where we demonstrate that the potentially dangerous leading two-loop contributions cancel as a consequence of the underlying $\mathcal{N}=2$ supersymmetry, leaving a well-behaved perturbative expansion. Building upon this framework, we compute the radiatively corrected Higgs effective potential including the complete Kaluza-Klein (KK) contributions through KK resummation, and investigate the resulting implications for the Higgs sector. The phenomenological viability of the model is subsequently explored through detailed numerical studies of the Higgs boson mass, electroweak precision observables, Higgs coupling modifiers and signal strengths, allowing constraints on the compactification scale and supersymmetric parameter space to be established. We find that the inclusion of the two-loop corrections preserves the characteristic power-law behaviour of the five-dimensional theory while yielding a phenomenologically viable parameter space consistent with current collider and precision measurements.
