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May 17, 20260 citationsOpen Access

Heavy-Quark Condensate and Vacuum Energy Anomalous Dimension at Five Loops

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AMAndreas Martin MaierPMPeter MarquardYSYork Schröder

Key Points

  • This research aims to calculate the heavy-quark condensate at five-loop order in Quantum Chromodynamics (QCD) while considering non-vanishing quark masses.
  • Performed perturbative calculations of heavy-quark condensate at five-loop order in QCD.
  • Accounted for non-vanishing quark masses during computations.
  • Confirmed previous five-loop conclusions on vacuum anomalous dimension.
  • Achieved the first five-loop calculation of the heavy-quark condensate including quark masses.
  • Results align with Baikov and Chetyrkin’s computation of the five-loop vacuum anomalous dimension.
  • The findings provide a detailed perturbative understanding of vacuum energy properties.

Abstract

We present the perturbative heavy-quark condensate at five-loop order in QCD. This constitutes the first calculation at this order accounting for non-vanishing quark masses. Our result confirms the computation of the five-loop vacuum anomalous dimension by Baikov and Chetyrkin.

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Cite This Study

Maier et al. (2026) studied this question.

synapsesocial.com/papers/6a095bba7880e6d24efe1a40https://doi.org/10.3204/pubdb-2026-01038
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