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Effective potential in subleading logarithmic approximation in arbitrary non-renormalizable scalar field theory

R. M. Iakhibbaev1,*, D. I. Kazakov1,†, A. I. Mukhaeva1,‡, and D. M. Tolkachev1,2,§

  • *Contact author: yaxibbaev@jinr.ru
  • †Contact author: kazakovd@theor.jinr.ru
  • ‡Contact author: mukhaeva@theor.jinr.ru
  • §Contact author: dtolkachev@jinr.ru
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Phys. Rev. D 113, 125021 – Published 16 June, 2026

DOI: https://doi.org/10.1103/sxxb-y187

Abstract

Following the previously developed approach to the calculation of quantum corrections to the effective potential in arbitrary scalar field theories in the leading logarithmic approximation, we extended it to the next-to-leading order. Based on Bogoliubov-Parasiuk-Hepp-Zimmerman renormalization procedure and the Bogoliu-bov-Parasiuk theorem, we construct recurrence relations and renormalization group equations that allow one to sum up the leading and subleading logarithms in all orders of perturbation theory. The formalism is applicable to an arbitrary scalar potential, renormalizable or not. To verify the results, we compare them with a renormalizable model treated within the standard renormalization group approach.

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Phys. Rev. D 113, 125021– Published 16 June, 2026
  • Received 23 February 2026
  • Accepted 7 April 2026
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Published by the American Physical Society under the terms of the 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.

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