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High Energy Physics - Lattice

arXiv:2307.00940 (hep-lat)
[Submitted on 3 Jul 2023 (v1), last revised 5 Oct 2023 (this version, v3)]

Title:Dilaton chiral perturbation theory at next-to-leading order

Authors:Andrew Freeman, Maarten Golterman, Yigal Shamir
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Abstract:We apply dilaton chiral perturbation theory (dChPT) at next-to-leading order to lattice data from the LatKMI collaboration for the eight-flavor SU(3) gauge theory. In previous work, we found that leading-order dChPT does not account for these data, but that a model extension of leading-order dChPT with a varying mass anomalous dimension describes these data well. Here we calculate the next-to-leading order corrections for the pion mass and decay constant. We focus on these quantities, as data for the dilaton mass are of poorer quality. The application of next-to-leading order dChPT is difficult because of the large number of new low-energy constants, and the results of our fits turn out to be inconclusive. They suggest -- yet cannot firmly establish -- that the LatKMI mass range might be outside the scope of dChPT.
Comments: RevTex, 28 pages. Minor changes
Subjects: High Energy Physics - Lattice (hep-lat); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:2307.00940 [hep-lat]
  (or arXiv:2307.00940v3 [hep-lat] for this version)
  https://doi.org/10.48550/arXiv.2307.00940

Submission history

From: Yigal Shamir [view email]
[v1] Mon, 3 Jul 2023 11:30:01 UTC (30 KB)
[v2] Wed, 26 Jul 2023 07:33:45 UTC (30 KB)
[v3] Thu, 5 Oct 2023 19:26:21 UTC (30 KB)
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