Speaker
Description
Completing the N$^3$LO Yang-Mills pressure, as well as understanding the microphysics of cosmological phase transitions is currently hindered by the challenging evaluation of multi-loop finite temperature sum-integrals.
Tree-Loop Duality is a framework for the numerical evaluation of multi-loop integrals. Recently, this approach was extended to finite temperature in the case of infrared finite integrals. However, frequent infrared divergences associated with bosonic Matsubara modes render the method incomplete for generic finite temperature sum-integrals.
In this talk, I will introduce finite temperature Tree-Loop Duality and discuss a newly developed algorithm that systematically generates the missing infrared counterterms. This finally brings the N$^3$LO Yang-Mills pressure, as well as the automation of finite temperature sum-integrals within reach.