Factorial growth at low orders in perturbative QCD: control over truncation uncertainties

Kronfeld, Andreas S.

doi:10.1007/jhep12(2023)108

Title: Factorial growth at low orders in perturbative QCD: control over truncation uncertainties

Journal Article · 17 December 2023 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/jhep12(2023)108 · OSTI ID:2204995

Kronfeld, Andreas S. ^[1]

Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States); Technische Universität München, Garching (Germany)

A method, known as “minimal renormalon subtraction”, relates the factorial growth of a perturbative series (in QCD) to the power p of a power correction Λ^p/Q^p. (Λ is the QCD scale, Q some hard scale.) Here, the derivation is simplified and generalized to any p, more than one such correction, and cases with anomalous dimensions. Strikingly, the well-known factorial growth is seen to emerge already at low or medium orders, as a consequence of constraints on the Q dependence from the renormalization group. The effectiveness of the method is studied with the gluonic energy between a static quark and static antiquark (the “static energy”). Truncation uncertainties are found to be under control after next-to-leading order, despite the small exponent of the power correction (p = 1) and associated rapid growth seen in the first four coefficients of the perturbative series.

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Research Organization:: Fermi National Accelerator Laboratory (FNAL), Batavia, IL (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: AC02-07CH11359

OSTI ID:: 2204995

Report Number(s):: FERMILAB-PUB--23-629-T; arXiv:2310.15137; oai:inspirehep.net:2713660

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 12 Vol. 2023; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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