Abstract
The Standard Model Neutrino Effective Field Theory (SMNEFT) is the Standard Model Effective Field Theory (SMEFT) augmented with right-handed neutrinos. Building on our previous work, arXiv:2010.12109, we calculate the Yukawa coupling contributions to the one-loop anomalous dimension matrix for the 11 dimension-six four-fermion SMNEFT operators. We also present the new contributions to the anomalous dimension matrix for the 14 four-fermion SMEFT operators that mix with the SMNEFT operators through the Yukawa couplings of the right-handed neutrinos.
Highlights
Given the absence of new physics signals at the LHC, the use of effective theory to study physics beyond the SM has received much attention recently
We present the new contributions to the anomalous dimension matrix for the 14 four-fermion Standard Model Effective Field Theory (SMEFT) operators that mix with the Standard Model Neutrino Effective Field Theory (SMNEFT) operators through the Yukawa couplings of the right-handed neutrinos
With only SM fields, the Standard Model Effective Field Theory (SMEFT) is obtained [1,2,3,4], and the one-loop renormalization group evolution (RGE) of all dimension-six operators have been presented in refs. [5,6,7]
Summary
Where Ci are the WCs of the dimension-six operators. The four types of Yukawa interaction vertices for the quark sector are shown in figure 1. The four types of Yukawa interaction vertices. The Lagrangian can be written in terms of bare fields O(0) as LSMNEFT ⊃ C T · O + counterterms ≡ C T · Z · O(0) ,. Where Z = Zct/Zwr is the renormalization constant matrix which depends on corrections from the counterterms, Zct, and the wavefunction renormalizations, Zwr. Given that the bare operators and Lagrangian are independent of the renormalization scale μ, the RG equations for the Wilson coefficients are. For the four-fermion operator, O4ψ = ψ1ψ2ψ3ψ4, the wavefunction renormalization constant is given by. From figure 2, the Yukawa-dependent wavefunction renormalization of a right-handed neutrino n is γ(nY ).
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