Ultrasoft NLL Running of the Nonrelativistic O(v) QCD Quark Potential
Andre H. Hoang, Maximilian Stahlhofen
TL;DR
This paper calculates the ultrasoft NLL running of the nonrelativistic QCD quark potential, providing essential corrections for accurate heavy quark pair production near threshold.
Contribution
It presents the first complete calculation of ultrasoft NLL contributions to the quark-antiquark potential at order v in vNRQCD.
Findings
Numerically significant ultrasoft NLL corrections identified.
Completes the ultrasoft NNLL order effects in heavy quark pair processes.
Enhances precision in theoretical predictions near quark-antiquark threshold.
Abstract
Using the nonrelativistic effective field theory vNRQCD, we determine the contribution to the next-to-leading logarithmic (NLL) running of the effective quark-antiquark potential at order v (1/mk) from diagrams with one potential and two ultrasoft loops, v being the velocity of the quarks in the c.m. frame. The results are numerically important and complete the description of ultrasoft next-to-next-to-leading logarithmic (NNLL) order effects in heavy quark pair production and annihilation close to threshold.
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