2018/01/05 by Satoshi Iso, Kiyoharu Kawana
Physics and Astronomy · #Black Holes and Theoretical Physics #Decoupling (probability) #Effective action #Feynman diagram #Particle physics theoretical and experimental studies #Propagator #Quantum Chromodynamics and Particle Interactions #Quantum field theory #Renormalization #Renormalization group #Scalar (mathematics) #Scalar field #hep-ph #hep-th
paper · pdf · doi:10.1007/jhep03(2018)165
22 pages, 6 figures
arxiv created 2018/01/05 · openalex created_date 2018/01/12 · openalex publication_date 2018/03/01 · arxiv updated 2020/05/20 · openalex updated_date 2026/08/05
A bstract Improving the effective action by the renormalization group (RG) with several mass scales is an important problem in quantum field theories. A method based on the decoupling theorem was proposed in [1] and systematically improved [2] to take threshold effects into account. In this paper, we apply the method to the Higgs-Yukawa model, including wave-function renormalizations, and to a model with two real scalar fields ( φ, h ). In the Higgs-Yukawa model, even at one-loop level, Feynman diagrams contain propagators with different mass scales and decoupling scales must be chosen appropriately to absorb threshold corrections. On the other hand, in the two-scalar model, the mass matrix of the scalar fields is a function of their field values ( φ, h ) and the resultant running couplings obey different RGEs on a different point of the field space. By solving the RGEs, we can obtain the RG improved effective action in the whole region of the scalar fields.