One-Loop Matching Conditions in Neutrino Effective Theory

Abstract

We investigate matching conditions and threshold corrections between full and effective theories based on the type I seesaw mechanism. In general, using an intuitive Feynman diagrammatical approach, we compute the amplitudes before and after integrating out heavy right-handed neutrinos at the matching scale. In particular, we derive the one-loop matching conditions between the full and the effective theories. The matching conditions of the parameters are influenced by one-loop corrections to the corresponding vertices as well as wave function corrections for the Higgs and the lepton fields. Our results are comparable to earlier results based on a functional approach.

arXiv comment38 pages, 19 figures. Final version published in Nucl. Phys. B

References in corpus (17)

• FeynRules 2.0 - A complete toolbox for tree-level phenomenology
• Generating Feynman Diagrams and Amplitudes with FeynArts 3
• Package-X: A Mathematica package for the analytic calculation of one-loop integrals
• Renormalization of the Neutrino Mass Operator
• Renormalization Group Equations for Seesaw Neutrino Masses
• Neutrino Mass Operator Renormalization Revisited
• Quantum corrections to neutrino masses and mixing angles
• Neutrino Mass Matrix Running for Non-Degenerate See-Saw Scales
• The smallest neutrino mass
• One-loop renormalization group equations of the neutrino mass matrix in the triplet seesaw model
• Low energy threshold corrections to neutrino masses and mixing angles
• Neutrino masses in the Standard Model effective field theory
• Threshold effects on renormalization group running of neutrino parameters in the low-scale seesaw model
• On the two-loop radiative origin of the smallest neutrino mass and the associated Majorana CP phase
• Two-loop renormalization group equations for right-handed neutrino masses and phenomenological implications
• Renormalization Group Evolution of Neutrino Parameters in Presence of Seesaw Threshold Effects and Majorana Phases
• Decoupling in QED and QCD

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• The Forward Physics Facility at the High-Luminosity LHC
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• Constraints on the parameters of the neutrino extension of the Standard Model