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Renormalization group improved determination of light quark masses from Borel-Laplace sum rules

Khan, MSAA (2023) Renormalization group improved determination of light quark masses from Borel-Laplace sum rules. In: Physical Review D, 108 (9).

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Official URL: https://doi.org/10.1103/PhysRevD.108.094016


We determine masses of light quarks (mu,md,ms) using Borel-Laplace sum rules and renormalization group summed perturbation theory (RGSPT) from the divergence of the axial vector current. The RGSPT significantly reduces the scale dependence of the finite-order perturbative series for the renormalization group invariant quantities such as spectral function, the second derivative of the polarization function of the pseudoscalar current correlator, and its Borel transformation. In addition, the convergence of the spectral function is significantly improved by summing all running logarithms and kinematical �2-terms. Using RGSPT, we find ms(2 GeV)=104.34-4.21+4.32 MeV and md(2 GeV)=4.21-0.45+0.48 MeV leading to mu(2 GeV)=2.00-0.38+0.33 MeV. © 2023 authors. Published by the American Physical Society. Published by the American Physical Society under the terms of the "https://creativecommons.org/licenses/by/4.0/"Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

Item Type: Journal Article
Publication: Physical Review D
Publisher: American Physical Society
Additional Information: The copyright for this article belongs to author.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 28 Feb 2024 09:37
Last Modified: 28 Feb 2024 09:37
URI: https://eprints.iisc.ac.in/id/eprint/83662

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