Running Top quark mass in the presence of light SM Higgs

TL;DR

This paper investigates the scale dependence of the top quark mass using nonperturbative Schwinger-Dyson equations, incorporating Standard Model Higgs and gluons, to understand its behavior across different energy scales.

Contribution

It introduces a novel nonperturbative approach to compute the top quark mass function including Higgs and gluon effects, extending previous models.

Findings

Mass function remains nearly constant at low scales.

Two-loop Higgs contributions significantly affect the mass function.

Method aligns with measured pole mass at Tevatron energies.

Abstract

The running of the Top quark mass is considered in the nonperturbative framework of the Schwinger-Dyson equation. Based on the input of physical pole mass meassured at the Tevatron the method provides the resulting mass function which is almost constant at low spacelike and timelike scales. The skeleton loops including Standard Model Higgs and gluons are taken into account. The dominant two-loop skeleton contribution with triplet Higgs interaction is considered in addition to one loop dressed approximation of the top quark self-energy.