Higher Moments of Heavy Quark Correlators in the Low Energy Limit at O(alpha_s^2)

TL;DR

This paper computes the first 30 moments of heavy quark correlators at three-loop order, including singlet contributions, and compares their behavior with threshold predictions, advancing precision in quantum chromodynamics calculations.

Contribution

It provides the first detailed calculation of low energy moments at three-loop order, including singlet effects, and compares these with threshold behavior predictions.

Findings

First 30 moments computed at three-loop order.

Inclusion of singlet contributions at three loops.

Agreement with threshold predictions for large moments.

Abstract

We present the first 30 moments of the low energy expansions of the vector, axial-vector, scalar and pseudo-scalar heavy quark correlation functions at three-loop order, including the singlet contribution which appears for the first time at three loops. In addition we compare the behavior of the moments for large n with the prediction from threshold calculations.