Leading and next to leading large $n_f$ terms in the cusp anomalous dimension and the quark-antiquark potential

TL;DR

This paper discusses the calculation of leading and next-to-leading large $n_f$ terms in the cusp anomalous dimension, heavy-quark field anomalous dimension, and quark-antiquark potential, providing all-order results for certain abelian contributions.

Contribution

It presents the all-order calculation of leading and next-to-leading large $n_f$ terms for specific quantities, focusing on abelian color structures, extending previous results.

Findings

Leading large $n_f$ terms can be computed to all orders.

Next-to-leading $C_F^2$ terms are also calculable to all orders.

Non-abelian $C_F C_A$ terms remain uncalculated at all orders.

Abstract

I discuss 3 related quantities: the cusp anomalous dimension, the HQET heavy-quark field anomalous dimension, and the quark-antiquark potential. Leading large $n_f$ terms can be calculated to all orders in $\alpha_s$. Next to leading terms with the abelian color structure $C_F^2$ also can be found to all orders (but not non-abelian $C_F C_A$ terms). This talk is based on Appendices C and D in [arXiv:1510.07803].