Renormalization of the Standard Model effective field theory to dimension eight
Departamento de Física Teórica y del Cosmos（理论与宇宙物理学系）
Álvaro Díaz-Carmona
备注：
PhD thesis defended on the 11th September 2025 at University of Granada. 171 pages, 11 figures, 13 + 8 tables within main text + appendices. This version differs from the one in the University's repository (available in https://digibug.ugr.es/handle/10481/110577) only by fixed typos and formatting
The Standard Model Effective Field Theory (SMEFT) provides a powerful, model-independent framework to explore deviations from the Standard Model (SM) by parametrising potential new physics through higher-dimensional operators. This thesis investigates the renormalisation structure of SMEFT, focusing on dimension-eight operators, which are increasingly relevant in precision analyses and in models where dimension-six effects are suppressed.
We review renormalisation in quantum field theory, emphasising dimensional regularisation and the $\overline{\text{MS}}$ scheme, and outline the conceptual foundations of EFTs. One of the central results of this work is the systematic construction and classification of bosonic operators in SMEFT at dimension eight, employing Group Theory techniques and removing redundancies by working in momentum space. Building on this operator basis, we compute the complete one-loop renormalisation group equations (RGEs) involving insertions of dimension-eight-or-lower operators. This includes pure dimension-eight effects, pairs of dimension-six operators and lepton-number-violating sectors. Our calculations use an off-shell Green's function basis and leverage algebraic simplifications derived from symmetry and gauge invariance.
These results are applied to positivity bounds and oblique parameters, providing essential tools for consistent SMEFT analyses across energy scales. The findings extend SMEFT's theoretical reach and support its use in high-precision phenomenology.
Study on Anomalous Neutral Triple Gauge Boson Couplings from Dimension-eight Operators at the HL-LHC
在高亮度大型强子对撞机（HL-LHC）上通过pp到l^{+}l^{-} gamma过程研究了用8维算符描述的Z gamma gamma和Z gamma Z顶点的反常中性三重规范玻色子耦合（aNTGC）.我们分析了考虑探测器效应时末态光子的横动量和带电轻子的角分布。在95% C. L.处得到了C_{ \widetilde{B} W}，C_{BB}偶合的灵敏度极限.分别用300 fb^{-1}和3000 fb^{-1}的积分亮度来约束范围[-1.88：1.88] TeV ^{-4}、[-1.47：1.47] TeV ^{-4}和[-1.14：1.14] TeV ^{-4}、[-0.86：0.86] TeV^{-4}。
Positivity in the Renormalization of Effective Field Theory
National Taiwan University（国立台湾大学）；Max Planck-IAS-NTU Center for Particle Physics, Cosmology and Geometry（马克斯·普朗克IAS-NTU粒子物理、宇宙学与几何中心）；National Center for Theoretical Sciences（国家理论科学中心）；Uppsala University（乌普萨拉大学）
Action principles, restoration of BRS symmetry and the renormalization group equation for chiral non-Abelian gauge theories in dimensional renormalization with a non-anticommuting $γ_5$
