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QCD static energy using optimal renormalization and asymptotic Padé-approximant methods

Ananthanarayan, B and Das, D and Khan, MSAA (2020) QCD static energy using optimal renormalization and asymptotic Padé-approximant methods. In: Physical Review D, 102 (7).

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Official URL: https://doi.org/10.1103/PhysRevD.102.076008


The perturbative QCD static potential and ultrasoft contributions, which together give the static energy, have been calculated to three- and four-loop order respectively, by several authors. Using the renormalization group, and Padé approximants, we estimate the four-loop corrections to the static energy. We also employ the optimal renormalization method and resum the logarithms of the perturbative series in order to reduce sensitivity to the renormalization scale in momentum space. This is the first application of the method to results at these orders. The convergence behavior of the perturbative series is also improved in position space using the restricted Fourier transform scheme. Using optimal renormalization, we have extracted the value of ΛQCDMS¯ at different scales for two active flavors by matching to the static energy from lattice QCD simulations. © 2020 authors.

Item Type: Journal Article
Publication: Physical Review D
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to The Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 11 Jan 2023 05:11
Last Modified: 11 Jan 2023 05:11
URI: https://eprints.iisc.ac.in/id/eprint/79037

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