One-Loop Right-Handed Neutrino Threshold Corrections for Two-Loop Running in Supersymmetric Type I Seesaw Models

TL;DR

This paper calculates one-loop threshold corrections for right-handed neutrinos in supersymmetric models, improving the precision of two-loop RG running predictions for neutrino masses.

Contribution

It provides the first detailed one-loop matching formulas for right-handed neutrino thresholds in supersymmetric theories, applicable to various models.

Findings

Derived supergraph-based one-loop matching formulas.

Presented a general formula for superpotential operator matching.

Enhanced accuracy of neutrino mass predictions in supersymmetric models.

Abstract

The renormalization group (RG) running of the neutrino mass operator is required for comparing the predictions of neutrino models at high energy with the experimental data at low energies. In the type I seesaw scenario with n_G right-handed neutrinos, the RG running is also performed in the effective theories above and between the thresholds given by the masses of the right-handed neutrinos. At these thresholds, the effective theories are matched. When calculating the two-loop RG running, the matching has to be performed at the one-loop level. In this work, we calculate the one-loop matching formulae in the MSSM extended by n_G right-handed neutrinos using supergraph techniques. Moreover we present a general formula for one-loop matching of superpotential operators which can readily be applied to any supersymmetric theory where chiral superfields are integrated out.