Ultraviolet divergences of flavor changing amplitudes in the littlest Higgs model with T-parity

TL;DR

This paper investigates flavor changing neutral current processes in the littlest Higgs model with T-parity, revealing cancellations of divergences and discussing implications for rare kaon decays.

Contribution

It demonstrates the exact cancellation of logarithmic divergences in Z boson flavor changing processes within the model, clarifying previous issues.

Findings

Logarithmic divergence canceled by heavy fermion contributions

Impacts on K --> pi nu nu_bar decay rates analyzed

Provides insights into flavor physics in the littlest Higgs model

Abstract

Flavor changing neutral current processes are studied in the littlest Higgs model with T-parity. It is found that the logarithmic divergence reported earlier in Z boson flavor changing processes is exactly canceled by contributions from additional interaction terms of heavy fermions and the Z boson. Phenomenological impact on the K --> pi nu nu_bar processes is discussed.