Effects of Large Threshold Corrections in Supersymmetric Type-I Seesaw Model

TL;DR

This paper explores how large threshold corrections in a supersymmetric type-I seesaw model significantly influence lepton flavor violation processes and neutralino dark matter relic abundance, revealing testable predictions for future experiments.

Contribution

It provides a detailed analysis of threshold corrections' impact on LFV processes and dark matter, highlighting their correlation and potential experimental signatures.

Findings

Large threshold corrections can enhance LFV decay rates.

Neutralino relic abundance can align with WMAP data under certain parameters.

Scalar superpartner masses may be sizable, making LFV decays observable in future experiments.

Abstract

We investigate lepton flavor violating (LFV) radiative processes and the relic abundance of neutralino dark matter in supersymmetric type-I seesaw model. We carefully derive threshold corrections to the flavor off-diagonal elements of slepton mass matrix and up-type Higgs mass squared and find that they can be large in the case of large $B_N^0$. We examine how the branching ratios of LFV radiative decays and the relic abundance of neutralino dark matter can be significantly affected by the large threshold corrections. Soft scalar mass squared parameter of up-type Higgs scalar is also affected by the threshold corrections. Since the higgsino mass depends on the mass parameter for up-type Higgs, the LFV processes and the relic abundance of the neutralino dark matter are correlated with each other. We show that there are parameter regions where the predictions of the relic abundance of neutralino dark matter are consistent with WMAP observation and the branching ratios of LFV radiative decays are predicted to be testable in future experiments. We find that the masses of scalar supersymmetric particles are not necessarily small so that the branching ratios of LFV decays can be testable in future experiment, which is distinctive feature of this scenario.