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  • Letter
  • Open Access

Renormalization group improvement for thermally resummed effective potential

Koichi Funakubo1,† and Eibun Senaha2,3,*

  • 1Department of Physics, Saga University, Saga 840-8502, Japan
  • 2Subatomic Physics Research Group, Science and Technology Advanced Institute, Van Lang University, Ho Chi Minh City, Vietnam
  • 3Faculty of Applied Technology, School of Technology, Van Lang University, Ho Chi Minh City, Vietnam

  • *Corresponding author: eibunsenaha@vlu.edu.vn
  • †funakubo@cc.saga-u.ac.jp
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Phys. Rev. D 109, L071901 – Published 12 April, 2024

DOI: https://doi.org/10.1103/PhysRevD.109.L071901

Abstract

We propose a novel method for renormalization group improvement of thermally resummed effective potential. In our method, β-functions are temperature dependent as a consequence of the divergence structure in resummed perturbation theory. In contrast to the ordinary MS¯ scheme, the renormalization group invariance of the resummed finite-temperature effective potential holds order by order, which significantly mitigates a notorious renormalization scale dependence of phase transition quantities such as a critical temperature even at the one-loop order. We also devise a tractable method that enables one to incorporate temperature-dependent higher-order corrections by fully exploiting the renormalization group invariance.

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Phys. Rev. D 109, L071901– Published 12 April, 2024
  • Received 10 July 2023
  • Accepted 27 March 2024
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