Abstract
We derive two-loop anomalous dimensions for four-Fermi operators in supersymmetric theories using the effective Kähler potential. We introduce the general forms in generic gauge theories and apply our results to the flavor-changing operators in (minimal) supersymmetric standard models.
Highlights
Searches for rare processes are one of the promising probes to test models for particle physics
Using the two-loop effective Kahler potential and the renormalization group equation (RGE) for the vertex functions with operator insertions, we have derived the generic forms of two-loop anomalous dimensions for the four-Fermi operators
We have shown the explicit forms of the anomalous dimensions for ∆F = 2 processes and proton decay processes
Summary
Searches for rare processes are one of the promising probes to test models for particle physics. There are a lot of attempts to extend the Standard Model (SM) in order to explain the dark matter candidate, the origin of fermion masses and mixing, and so on Such models beyond the SM (BSMs) generally predict forbidden or suppressed observables in flavor physics, including proton decay and flavor-violating observables. In the minimal supersymmetric standard model (MSSM), flavor violation arises from soft supersymmetry breaking terms, and the flavorviolating operators are loop-suppressed as far as the R-parity is conserved Next-leading order (NLO) corrections for effective operators have been evaluated in some literature; e.g., the two-loop QCD anomalous dimensions for the flavor-changing four-Fermi interactions in the SM and the BSM are calculated in Ref.
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