2018/07/31 by Walter Grimus, Maximilian Löschner
Mathematics · Physics and Astronomy · #Gauge (firearms) #Geometry #Higgs boson #Lepton #Mathematical physics #Mathematics #Neutrino #Neutrino Physics Research #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Renormalization #Scalar (mathematics) #Standard Model (mathematical formulation) #Tadpole (physics) #hep-ph
paper · pdf · doi:10.1007/jhep11(2018)087
50 pages. Minor typos corrected. Matches version in JHEP
openalex publication_date 2018/11/01 · arxiv created 2018/11/06 · arxiv updated 2018/12/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A bstract Motivated by models for neutrino masses and lepton mixing, we consider the renormalization of the lepton sector of a general multi-Higgs-doublet Standard Model with an arbitrary number of right-handed neutrino singlets. We propose to make the theory finite by MS <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mover> <mml:mrow> <mml:mi>M</mml:mi> <mml:mi>S</mml:mi> </mml:mrow> <mml:mo>¯</mml:mo> </mml:mover> </mml:math> renormalization of the parameters of the unbroken theory. However, using a general R ξ gauge, in the explicit one-loop computations of one-point and two-point functions it becomes clear that — in addition — a renormalization of the vacuum expectation values (VEVs) is necessary. Moreover, in order to ensure vanishing one-point functions of the physical scalar mass eigenfields, finite shifts of the tree-level VEVs, induced by the finite parts of the tadpole diagrams, are required. As a consequence of our renormalization scheme, physical masses are functions of the renormalized parameters and VEVs and thus derived quantities. Applying our scheme to one-loop corrections of lepton masses, we perform a thorough discussion of finiteness and ξ -independence. In the latter context, the tadpole contributions figure prominently.