The full two-loop renormalization group equation of the dimension-5 Weinberg operator in the Standard Model is derived, completing the two-loop RGE program of SMEFT up to dimension 5.
To this end, we calculate the divergent parts of all diagrams renormalizing C5 up to two-loops taking all 5 external momenta to zero, reducing them to vacuum diagrams
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Complete Two-loop Renormalization Group Equation of the Weinberg Operator
The full two-loop renormalization group equation of the dimension-5 Weinberg operator in the Standard Model is derived, completing the two-loop RGE program of SMEFT up to dimension 5.