Implications of $D^0-\overline{D^0}$ on the rare top quark decays $t\to u\gamma$ and $t\to ug$

TL;DR

This paper uses the observed $D^0-ar{D}^0$ mixing to predict upper bounds on rare top quark decay branching ratios, suggesting potential observability at the LHC.

Contribution

It provides model-independent predictions for rare top decays based on $D^0-ar{D}^0$ mixing data using an effective Lagrangian approach.

Findings

$Br(t o u\gamma)<4\times 10^{-4}$

$Br(t o ug)<2\times 10^{-3}$

Predictions may be testable at the LHC.

Abstract

The recently observed mass difference of the $D^0-\overline{D^0}$ mixing is used to predict the branching ratios of the rare top quark decays $t\to u\gamma$ and $t\to ug$ in a model independent way using the effective Lagrangian approach. It is found that $Br(t\to u\gamma)<4\times 10^{-4}$ and $Br(t\to ug)<2\times 10^{-3}$, which still may be within reach of the LHC collider.