New Methods for the Calculation of Multi-Loop Amplitudes

TL;DR

This paper reviews current methods for calculating multi-loop amplitudes, highlights recent advances, and demonstrates their application by computing heavy quark current correlator moments to determine charm and bottom quark masses.

Contribution

It introduces recent methodological developments in multi-loop amplitude calculations and applies them to extract quark masses from correlator data.

Findings

Calculated the second moment of the heavy quark current correlator

Extracted charm and bottom quark masses from the correlator results

Demonstrated the effectiveness of new computational methods

Abstract

We present a brief review of current methods for the calculation of multi-loop amplitudes including recent developments. As an example we present the calculation of the second moment of the heavy quark current correlator and the extraction of the values of the charm and bottom quark masses using the results of this calculation.