Abstract
Standard Model Neutrino Effective Field Theory (SMNEFT) is an effective theory with Standard Model (SM) gauge-invariant operators constructed only from SM and right-handed neutrino fields. For the full set of dimension-six SMNEFT operators, we present the gauge coupling terms of the one-loop anomalous dimension matrix for renormalization group evolution (RGE) of the Wilson coefficients between a new physics scale and the electroweak scale. We find that the SMNEFT operators can be divided into five subsets which are closed under RGE. Our results apply for both Dirac and Majorana neutrinos. We also discuss the operator mixing pattern numerically and comment on some interesting phenomenological implications.
Highlights
Can be used to describe new physics in a model independent way
For the full set of dimension-six Standard Model Neutrino Effective Field Theory (SMNEFT) operators, we present the gauge coupling terms of the one-loop anomalous dimension matrix for renormalization group evolution (RGE) of the Wilson coefficients between a new physics scale and the electroweak scale
We find that the SMNEFT operators can be divided into five subsets which are closed under RGE
Summary
In the case of Dirac neutrinos, νR ≡ n, with n and the left-handed neutrino νL in the same spinor νD = (νL, n)T , and of the same mass. In the Majorana case, n and νL are components of two different spinors, νM = (νL, νLc )T , nM = (nc, n)T , and can have different masses. Our. results are valid for both cases because we focus on the gauge sector. Without specifying any possible Majorana and Dirac mass terms, the dimension-six B and L conserving SMNEFT. Where g1, g2, and g3 are the gauge couplings of U(1)Y , SU(2)L, and SU(3)C, respectively, and y is the hypercharge.
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