Complete two-loop renormalization group equation of the Weinberg operator
Alejandro Ibarra, Nicholas Leister, Di Zhang
Abstract
A bstract We calculate the renormalization group equation (RGE) of the lepton-number-violating Weinberg operator with the particle content of the Standard Model (SM), thus completing the set of two-loop RGEs of the SM effective field theory up to dimension 5. We identify new diagrams that could increase the rank of the Wilson coefficient of the Weinberg operator, and we calculate the complete two-loop RGE for the neutrino mass eigenvalues and leptonic mixing matrix. We also briefly discuss some phenomenological implications of the RGEs.
Topics & Concepts
PhysicsRenormalization groupMathematical physicsLoop (graph theory)Operator (biology)Quantum electrodynamicsGroup (periodic table)RenormalizationQuantum mechanicsCombinatoricsChemistryTranscription factorRepressorBiochemistryMathematicsGeneParticle physics theoretical and experimental studiesadvanced mathematical theoriesAdvanced Mathematical Physics Problems